Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 37.5 | ||
Character | \(\chi\) | \(=\) | 384.37 |
Dual form | 384.2.v.a.301.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{25}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26619 | + | 0.629900i | −0.895328 | + | 0.445406i | ||||
\(3\) | 0.471397 | + | 0.881921i | 0.272161 | + | 0.509177i | ||||
\(4\) | 1.20645 | − | 1.59514i | 0.603226 | − | 0.797570i | ||||
\(5\) | 2.98357 | − | 2.44855i | 1.33429 | − | 1.09502i | 0.346700 | − | 0.937976i | \(-0.387302\pi\) |
0.987591 | − | 0.157049i | \(-0.0501980\pi\) | |||||||
\(6\) | −1.15240 | − | 0.819743i | −0.470464 | − | 0.334659i | ||||
\(7\) | −2.04572 | + | 1.36691i | −0.773211 | + | 0.516643i | −0.878467 | − | 0.477802i | \(-0.841434\pi\) |
0.105257 | + | 0.994445i | \(0.466434\pi\) | |||||||
\(8\) | −0.522814 | + | 2.77969i | −0.184843 | + | 0.982768i | ||||
\(9\) | −0.555570 | + | 0.831470i | −0.185190 | + | 0.277157i | ||||
\(10\) | −2.23541 | + | 4.97967i | −0.706898 | + | 1.57471i | ||||
\(11\) | 0.959618 | + | 3.16344i | 0.289336 | + | 0.953812i | 0.974304 | + | 0.225239i | \(0.0723163\pi\) |
−0.684968 | + | 0.728573i | \(0.740184\pi\) | |||||||
\(12\) | 1.97551 | + | 0.312052i | 0.570279 | + | 0.0900817i | ||||
\(13\) | 4.43568 | − | 5.40489i | 1.23024 | − | 1.49905i | 0.426017 | − | 0.904715i | \(-0.359916\pi\) |
0.804220 | − | 0.594332i | \(-0.202584\pi\) | |||||||
\(14\) | 1.72925 | − | 3.01936i | 0.462162 | − | 0.806958i | ||||
\(15\) | 3.56587 | + | 1.47703i | 0.920704 | + | 0.381368i | ||||
\(16\) | −1.08895 | − | 3.84892i | −0.272236 | − | 0.962230i | ||||
\(17\) | −3.65108 | + | 1.51233i | −0.885516 | + | 0.366793i | −0.778634 | − | 0.627479i | \(-0.784087\pi\) |
−0.106882 | + | 0.994272i | \(0.534087\pi\) | |||||||
\(18\) | 0.179713 | − | 1.40275i | 0.0423586 | − | 0.330631i | ||||
\(19\) | 5.95936 | − | 0.586946i | 1.36717 | − | 0.134655i | 0.612351 | − | 0.790586i | \(-0.290224\pi\) |
0.754821 | + | 0.655931i | \(0.227724\pi\) | |||||||
\(20\) | −0.306249 | − | 7.71326i | −0.0684795 | − | 1.72474i | ||||
\(21\) | −2.16985 | − | 1.15981i | −0.473501 | − | 0.253091i | ||||
\(22\) | −3.20770 | − | 3.40104i | −0.683885 | − | 0.725103i | ||||
\(23\) | 1.08122 | − | 0.215068i | 0.225450 | − | 0.0448448i | −0.0810726 | − | 0.996708i | \(-0.525835\pi\) |
0.306522 | + | 0.951863i | \(0.400835\pi\) | |||||||
\(24\) | −2.69792 | + | 0.849255i | −0.550710 | + | 0.173353i | ||||
\(25\) | 1.93082 | − | 9.70689i | 0.386164 | − | 1.94138i | ||||
\(26\) | −2.21185 | + | 9.63763i | −0.433780 | + | 1.89010i | ||||
\(27\) | −0.995185 | − | 0.0980171i | −0.191523 | − | 0.0188634i | ||||
\(28\) | −0.287657 | + | 4.91233i | −0.0543620 | + | 0.928342i | ||||
\(29\) | 5.57069 | + | 1.68985i | 1.03445 | + | 0.313797i | 0.761455 | − | 0.648218i | \(-0.224485\pi\) |
0.272996 | + | 0.962015i | \(0.411985\pi\) | |||||||
\(30\) | −5.44544 | + | 0.375945i | −0.994196 | + | 0.0686378i | ||||
\(31\) | −1.83643 | − | 1.83643i | −0.329832 | − | 0.329832i | 0.522690 | − | 0.852523i | \(-0.324928\pi\) |
−0.852523 | + | 0.522690i | \(0.824928\pi\) | |||||||
\(32\) | 3.80324 | + | 4.18752i | 0.672325 | + | 0.740256i | ||||
\(33\) | −2.33754 | + | 2.33754i | −0.406914 | + | 0.406914i | ||||
\(34\) | 3.67033 | − | 4.21470i | 0.629456 | − | 0.722814i | ||||
\(35\) | −2.75661 | + | 9.08732i | −0.465952 | + | 1.53604i | ||||
\(36\) | 0.656042 | + | 1.88934i | 0.109340 | + | 0.314890i | ||||
\(37\) | −0.175248 | + | 1.77933i | −0.0288107 | + | 0.292519i | 0.969973 | + | 0.243213i | \(0.0782013\pi\) |
−0.998784 | + | 0.0493069i | \(0.984299\pi\) | |||||||
\(38\) | −7.17594 | + | 4.49699i | −1.16409 | + | 0.729507i | ||||
\(39\) | 6.85765 | + | 1.36407i | 1.09810 | + | 0.218426i | ||||
\(40\) | 5.24635 | + | 9.57352i | 0.829521 | + | 1.51371i | ||||
\(41\) | 2.09598 | + | 10.5372i | 0.327337 | + | 1.64563i | 0.697440 | + | 0.716644i | \(0.254323\pi\) |
−0.370103 | + | 0.928991i | \(0.620677\pi\) | |||||||
\(42\) | 3.47800 | + | 0.101746i | 0.536667 | + | 0.0156997i | ||||
\(43\) | 1.80711 | − | 3.38086i | 0.275581 | − | 0.515576i | −0.705613 | − | 0.708597i | \(-0.749328\pi\) |
0.981195 | + | 0.193021i | \(0.0618285\pi\) | |||||||
\(44\) | 6.20386 | + | 2.28581i | 0.935267 | + | 0.344599i | ||||
\(45\) | 0.378314 | + | 3.84109i | 0.0563957 | + | 0.572595i | ||||
\(46\) | −1.23355 | + | 0.953376i | −0.181878 | + | 0.140568i | ||||
\(47\) | −1.08886 | − | 2.62875i | −0.158827 | − | 0.383443i | 0.824354 | − | 0.566074i | \(-0.191538\pi\) |
−0.983181 | + | 0.182631i | \(0.941538\pi\) | |||||||
\(48\) | 2.88112 | − | 2.77473i | 0.415854 | − | 0.400498i | ||||
\(49\) | −0.362239 | + | 0.874522i | −0.0517484 | + | 0.124932i | ||||
\(50\) | 3.66959 | + | 13.5070i | 0.518959 | + | 1.91017i | ||||
\(51\) | −3.05486 | − | 2.50706i | −0.427766 | − | 0.351058i | ||||
\(52\) | −3.27012 | − | 13.5963i | −0.453485 | − | 1.88546i | ||||
\(53\) | −5.92059 | + | 1.79599i | −0.813255 | + | 0.246698i | −0.669402 | − | 0.742901i | \(-0.733449\pi\) |
−0.143854 | + | 0.989599i | \(0.545949\pi\) | |||||||
\(54\) | 1.32183 | − | 0.502759i | 0.179878 | − | 0.0684168i | ||||
\(55\) | 10.6089 | + | 7.08865i | 1.43051 | + | 0.955834i | ||||
\(56\) | −2.73005 | − | 6.40111i | −0.364818 | − | 0.855385i | ||||
\(57\) | 3.32687 | + | 4.97901i | 0.440654 | + | 0.659485i | ||||
\(58\) | −8.11796 | + | 1.36931i | −1.06594 | + | 0.179799i | ||||
\(59\) | −9.26227 | − | 11.2861i | −1.20585 | − | 1.46933i | −0.843370 | − | 0.537333i | \(-0.819432\pi\) |
−0.362475 | − | 0.931993i | \(-0.618068\pi\) | |||||||
\(60\) | 6.65813 | − | 3.90610i | 0.859561 | − | 0.504275i | ||||
\(61\) | −0.421211 | + | 0.225142i | −0.0539305 | + | 0.0288265i | −0.498142 | − | 0.867096i | \(-0.665984\pi\) |
0.444211 | + | 0.895922i | \(0.353484\pi\) | |||||||
\(62\) | 3.48202 | + | 1.16849i | 0.442217 | + | 0.148399i | ||||
\(63\) | − | 2.46037i | − | 0.309978i | ||||||
\(64\) | −7.45333 | − | 2.90652i | −0.931666 | − | 0.363315i | ||||
\(65\) | − | 26.9868i | − | 3.34731i | ||||||
\(66\) | 1.48734 | − | 4.43218i | 0.183080 | − | 0.545564i | ||||
\(67\) | −3.99868 | + | 2.13734i | −0.488517 | + | 0.261118i | −0.697215 | − | 0.716863i | \(-0.745578\pi\) |
0.208698 | + | 0.977980i | \(0.433078\pi\) | |||||||
\(68\) | −1.99248 | + | 7.64853i | −0.241623 | + | 0.927520i | ||||
\(69\) | 0.699356 | + | 0.852168i | 0.0841926 | + | 0.102589i | ||||
\(70\) | −2.23372 | − | 13.2426i | −0.266981 | − | 1.58280i | ||||
\(71\) | 1.75803 | + | 2.63108i | 0.208640 | + | 0.312252i | 0.921000 | − | 0.389562i | \(-0.127374\pi\) |
−0.712360 | + | 0.701814i | \(0.752374\pi\) | |||||||
\(72\) | −2.02077 | − | 1.97902i | −0.238150 | − | 0.233229i | ||||
\(73\) | −4.01832 | − | 2.68495i | −0.470308 | − | 0.314250i | 0.297734 | − | 0.954649i | \(-0.403769\pi\) |
−0.768043 | + | 0.640399i | \(0.778769\pi\) | |||||||
\(74\) | −0.898901 | − | 2.36335i | −0.104495 | − | 0.274733i | ||||
\(75\) | 9.47090 | − | 2.87297i | 1.09360 | − | 0.331741i | ||||
\(76\) | 6.25343 | − | 10.2141i | 0.717317 | − | 1.17164i | ||||
\(77\) | −6.28724 | − | 5.15981i | −0.716498 | − | 0.588015i | ||||
\(78\) | −9.54229 | + | 2.59247i | −1.08045 | + | 0.293539i | ||||
\(79\) | −3.57266 | + | 8.62517i | −0.401956 | + | 0.970407i | 0.585235 | + | 0.810864i | \(0.301002\pi\) |
−0.987191 | + | 0.159544i | \(0.948998\pi\) | |||||||
\(80\) | −12.6732 | − | 8.81718i | −1.41691 | − | 0.985790i | ||||
\(81\) | −0.382683 | − | 0.923880i | −0.0425204 | − | 0.102653i | ||||
\(82\) | −9.29128 | − | 12.0218i | −1.02605 | − | 1.32759i | ||||
\(83\) | 0.707625 | + | 7.18464i | 0.0776719 | + | 0.788616i | 0.952572 | + | 0.304313i | \(0.0984269\pi\) |
−0.874900 | + | 0.484303i | \(0.839073\pi\) | |||||||
\(84\) | −4.46789 | + | 2.06196i | −0.487486 | + | 0.224979i | ||||
\(85\) | −7.19022 | + | 13.4520i | −0.779889 | + | 1.45907i | ||||
\(86\) | −0.158530 | + | 5.41909i | −0.0170948 | + | 0.584356i | ||||
\(87\) | 1.13569 | + | 5.70950i | 0.121759 | + | 0.612122i | ||||
\(88\) | −9.29507 | + | 1.01355i | −0.990858 | + | 0.108045i | ||||
\(89\) | 9.88754 | + | 1.96675i | 1.04808 | + | 0.208475i | 0.688947 | − | 0.724812i | \(-0.258073\pi\) |
0.359130 | + | 0.933287i | \(0.383073\pi\) | |||||||
\(90\) | −2.89851 | − | 4.62523i | −0.305530 | − | 0.487542i | ||||
\(91\) | −1.68618 | + | 17.1201i | −0.176760 | + | 1.79467i | ||||
\(92\) | 0.961376 | − | 1.98417i | 0.100230 | − | 0.206864i | ||||
\(93\) | 0.753898 | − | 2.48527i | 0.0781756 | − | 0.257711i | ||||
\(94\) | 3.03455 | + | 2.64261i | 0.312990 | + | 0.272565i | ||||
\(95\) | 16.3430 | − | 16.3430i | 1.67676 | − | 1.67676i | ||||
\(96\) | −1.90023 | + | 5.32814i | −0.193941 | + | 0.543801i | ||||
\(97\) | −8.11239 | − | 8.11239i | −0.823688 | − | 0.823688i | 0.162947 | − | 0.986635i | \(-0.447900\pi\) |
−0.986635 | + | 0.162947i | \(0.947900\pi\) | |||||||
\(98\) | −0.0921996 | − | 1.33548i | −0.00931357 | − | 0.134904i | ||||
\(99\) | −3.16344 | − | 0.959618i | −0.317937 | − | 0.0964453i | ||||
\(100\) | −13.1544 | − | 14.7908i | −1.31544 | − | 1.47908i | ||||
\(101\) | 2.05405 | + | 0.202307i | 0.204386 | + | 0.0201303i | 0.199692 | − | 0.979859i | \(-0.436006\pi\) |
0.00469404 | + | 0.999989i | \(0.498506\pi\) | |||||||
\(102\) | 5.44721 | + | 1.25014i | 0.539354 | + | 0.123783i | ||||
\(103\) | 1.44636 | − | 7.27132i | 0.142514 | − | 0.716464i | −0.841765 | − | 0.539844i | \(-0.818483\pi\) |
0.984279 | − | 0.176621i | \(-0.0565166\pi\) | |||||||
\(104\) | 12.7049 | + | 15.1556i | 1.24582 | + | 1.48613i | ||||
\(105\) | −9.31375 | + | 1.85262i | −0.908929 | + | 0.180797i | ||||
\(106\) | 6.36527 | − | 6.00343i | 0.618249 | − | 0.583105i | ||||
\(107\) | −11.7341 | − | 6.27198i | −1.13437 | − | 0.606336i | −0.206210 | − | 0.978508i | \(-0.566113\pi\) |
−0.928164 | + | 0.372172i | \(0.878613\pi\) | |||||||
\(108\) | −1.35699 | + | 1.46921i | −0.130577 | + | 0.141374i | ||||
\(109\) | 4.17695 | − | 0.411394i | 0.400079 | − | 0.0394044i | 0.104023 | − | 0.994575i | \(-0.466828\pi\) |
0.296056 | + | 0.955171i | \(0.404328\pi\) | |||||||
\(110\) | −17.8980 | − | 2.29299i | −1.70651 | − | 0.218628i | ||||
\(111\) | −1.65184 | + | 0.684213i | −0.156785 | + | 0.0649427i | ||||
\(112\) | 7.48881 | + | 6.38534i | 0.707626 | + | 0.603358i | ||||
\(113\) | −15.8685 | − | 6.57293i | −1.49278 | − | 0.618329i | −0.520859 | − | 0.853643i | \(-0.674388\pi\) |
−0.971919 | + | 0.235314i | \(0.924388\pi\) | |||||||
\(114\) | −7.34870 | − | 4.20875i | −0.688269 | − | 0.394186i | ||||
\(115\) | 2.69929 | − | 3.28909i | 0.251710 | − | 0.306709i | ||||
\(116\) | 9.41632 | − | 6.84731i | 0.874283 | − | 0.635756i | ||||
\(117\) | 2.02967 | + | 6.69093i | 0.187643 | + | 0.618577i | ||||
\(118\) | 18.8369 | + | 8.45601i | 1.73408 | + | 0.778439i | ||||
\(119\) | 5.40188 | − | 8.08449i | 0.495190 | − | 0.741104i | ||||
\(120\) | −5.96998 | + | 9.13980i | −0.544982 | + | 0.834345i | ||||
\(121\) | 0.0596949 | − | 0.0398869i | 0.00542681 | − | 0.00362608i | ||||
\(122\) | 0.391514 | − | 0.550392i | 0.0354461 | − | 0.0498302i | ||||
\(123\) | −8.30494 | + | 6.81569i | −0.748832 | + | 0.614550i | ||||
\(124\) | −5.14492 | + | 0.713797i | −0.462028 | + | 0.0641009i | ||||
\(125\) | −8.90989 | − | 16.6692i | −0.796925 | − | 1.49094i | ||||
\(126\) | 1.54979 | + | 3.11529i | 0.138066 | + | 0.277532i | ||||
\(127\) | −11.1669 | −0.990904 | −0.495452 | − | 0.868635i | \(-0.664998\pi\) | ||||
−0.495452 | + | 0.868635i | \(0.664998\pi\) | |||||||
\(128\) | 11.2681 | − | 1.01466i | 0.995970 | − | 0.0896839i | ||||
\(129\) | 3.83352 | 0.337522 | ||||||||
\(130\) | 16.9990 | + | 34.1703i | 1.49091 | + | 2.99694i | ||||
\(131\) | 0.976252 | + | 1.82644i | 0.0852955 | + | 0.159577i | 0.920952 | − | 0.389675i | \(-0.127413\pi\) |
−0.835657 | + | 0.549252i | \(0.814913\pi\) | |||||||
\(132\) | 0.908574 | + | 6.54884i | 0.0790812 | + | 0.570003i | ||||
\(133\) | −11.3889 | + | 9.34664i | −0.987544 | + | 0.810456i | ||||
\(134\) | 3.71676 | − | 5.22504i | 0.321080 | − | 0.451375i | ||||
\(135\) | −3.20920 | + | 2.14432i | −0.276204 | + | 0.184554i | ||||
\(136\) | −2.29496 | − | 10.9395i | −0.196791 | − | 0.938056i | ||||
\(137\) | −6.41394 | + | 9.59913i | −0.547980 | + | 0.820109i | −0.997313 | − | 0.0732546i | \(-0.976661\pi\) |
0.449334 | + | 0.893364i | \(0.351661\pi\) | |||||||
\(138\) | −1.42230 | − | 0.638479i | −0.121074 | − | 0.0543509i | ||||
\(139\) | −0.690060 | − | 2.27482i | −0.0585301 | − | 0.192948i | 0.922800 | − | 0.385280i | \(-0.125895\pi\) |
−0.981330 | + | 0.192332i | \(0.938395\pi\) | |||||||
\(140\) | 11.1698 | + | 15.3606i | 0.944023 | + | 1.29821i | ||||
\(141\) | 1.80506 | − | 2.19948i | 0.152014 | − | 0.185229i | ||||
\(142\) | −3.88332 | − | 2.22405i | −0.325881 | − | 0.186639i | ||||
\(143\) | 21.3546 | + | 8.84537i | 1.78576 | + | 0.739687i | ||||
\(144\) | 3.80525 | + | 1.23292i | 0.317104 | + | 0.102743i | ||||
\(145\) | 20.7582 | − | 8.59833i | 1.72387 | − | 0.714052i | ||||
\(146\) | 6.77919 | + | 0.868513i | 0.561050 | + | 0.0718786i | ||||
\(147\) | −0.942018 | + | 0.0927807i | −0.0776963 | + | 0.00765242i | ||||
\(148\) | 2.62685 | + | 2.42622i | 0.215925 | + | 0.199434i | ||||
\(149\) | −14.2336 | − | 7.60800i | −1.16606 | − | 0.623272i | −0.229338 | − | 0.973347i | \(-0.573656\pi\) |
−0.936722 | + | 0.350075i | \(0.886156\pi\) | |||||||
\(150\) | −10.1822 | + | 9.60342i | −0.831376 | + | 0.784116i | ||||
\(151\) | −6.22354 | + | 1.23794i | −0.506465 | + | 0.100742i | −0.441708 | − | 0.897159i | \(-0.645627\pi\) |
−0.0647569 | + | 0.997901i | \(0.520627\pi\) | |||||||
\(152\) | −1.48411 | + | 16.8720i | −0.120377 | + | 1.36850i | ||||
\(153\) | 0.770977 | − | 3.87596i | 0.0623298 | − | 0.313353i | ||||
\(154\) | 11.2110 | + | 2.57294i | 0.903407 | + | 0.207333i | ||||
\(155\) | −9.97569 | − | 0.982519i | −0.801266 | − | 0.0789178i | ||||
\(156\) | 10.4493 | − | 9.29323i | 0.836615 | − | 0.744054i | ||||
\(157\) | −2.75689 | − | 0.836292i | −0.220023 | − | 0.0667434i | 0.178348 | − | 0.983967i | \(-0.442925\pi\) |
−0.398372 | + | 0.917224i | \(0.630425\pi\) | |||||||
\(158\) | −0.909339 | − | 13.1715i | −0.0723431 | − | 1.04787i | ||||
\(159\) | −4.37487 | − | 4.37487i | −0.346950 | − | 0.346950i | ||||
\(160\) | 21.6006 | + | 3.18133i | 1.70768 | + | 0.251506i | ||||
\(161\) | −1.91790 | + | 1.91790i | −0.151152 | + | 0.151152i | ||||
\(162\) | 1.06650 | + | 0.928751i | 0.0837921 | + | 0.0729696i | ||||
\(163\) | −6.88047 | + | 22.6819i | −0.538920 | + | 1.77658i | 0.0864537 | + | 0.996256i | \(0.472447\pi\) |
−0.625374 | + | 0.780325i | \(0.715053\pi\) | |||||||
\(164\) | 19.3370 | + | 9.36925i | 1.50997 | + | 0.731616i | ||||
\(165\) | −1.25062 | + | 12.6978i | −0.0973609 | + | 0.988522i | ||||
\(166\) | −5.42159 | − | 8.65135i | −0.420797 | − | 0.671475i | ||||
\(167\) | 2.73125 | + | 0.543280i | 0.211351 | + | 0.0420403i | 0.299630 | − | 0.954055i | \(-0.403137\pi\) |
−0.0882792 | + | 0.996096i | \(0.528137\pi\) | |||||||
\(168\) | 4.35834 | − | 5.42515i | 0.336253 | − | 0.418559i | ||||
\(169\) | −7.00143 | − | 35.1985i | −0.538571 | − | 2.70758i | ||||
\(170\) | 0.630769 | − | 21.5618i | 0.0483778 | − | 1.65371i | ||||
\(171\) | −2.82282 | + | 5.28112i | −0.215866 | + | 0.403857i | ||||
\(172\) | −3.21276 | − | 6.96144i | −0.244970 | − | 0.530804i | ||||
\(173\) | 0.531236 | + | 5.39373i | 0.0403891 | + | 0.410078i | 0.994028 | + | 0.109125i | \(0.0348048\pi\) |
−0.953639 | + | 0.300953i | \(0.902695\pi\) | |||||||
\(174\) | −5.03441 | − | 6.51391i | −0.381657 | − | 0.493819i | ||||
\(175\) | 9.31851 | + | 22.4969i | 0.704413 | + | 1.70060i | ||||
\(176\) | 11.1309 | − | 7.13831i | 0.839020 | − | 0.538070i | ||||
\(177\) | 5.58726 | − | 13.4888i | 0.419964 | − | 1.01388i | ||||
\(178\) | −13.7583 | + | 3.73788i | −1.03123 | + | 0.280166i | ||||
\(179\) | −14.2679 | − | 11.7094i | −1.06643 | − | 0.875199i | −0.0739106 | − | 0.997265i | \(-0.523548\pi\) |
−0.992522 | + | 0.122066i | \(0.961048\pi\) | |||||||
\(180\) | 6.58349 | + | 4.03062i | 0.490704 | + | 0.300425i | ||||
\(181\) | 11.6163 | − | 3.52377i | 0.863433 | − | 0.261920i | 0.172652 | − | 0.984983i | \(-0.444767\pi\) |
0.690782 | + | 0.723063i | \(0.257267\pi\) | |||||||
\(182\) | −8.64892 | − | 22.7393i | −0.641101 | − | 1.68555i | ||||
\(183\) | −0.397115 | − | 0.265344i | −0.0293556 | − | 0.0196148i | ||||
\(184\) | 0.0325449 | + | 3.11789i | 0.00239924 | + | 0.229854i | ||||
\(185\) | 3.83390 | + | 5.73784i | 0.281874 | + | 0.421855i | ||||
\(186\) | 0.610896 | + | 3.62169i | 0.0447931 | + | 0.265556i | ||||
\(187\) | −8.28779 | − | 10.0987i | −0.606063 | − | 0.738490i | ||||
\(188\) | −5.50689 | − | 1.43457i | −0.401631 | − | 0.104627i | ||||
\(189\) | 2.16985 | − | 1.15981i | 0.157834 | − | 0.0843638i | ||||
\(190\) | −10.3988 | + | 30.9877i | −0.754409 | + | 2.24808i | ||||
\(191\) | 11.4088i | 0.825512i | 0.910842 | + | 0.412756i | \(0.135434\pi\) | ||||
−0.910842 | + | 0.412756i | \(0.864566\pi\) | |||||||
\(192\) | −0.950154 | − | 7.94338i | −0.0685714 | − | 0.573264i | ||||
\(193\) | − | 9.92348i | − | 0.714308i | −0.934046 | − | 0.357154i | \(-0.883747\pi\) | ||
0.934046 | − | 0.357154i | \(-0.116253\pi\) | |||||||
\(194\) | 15.3818 | + | 5.16180i | 1.10435 | + | 0.370595i | ||||
\(195\) | 23.8003 | − | 12.7215i | 1.70437 | − | 0.911006i | ||||
\(196\) | 0.957961 | + | 1.63289i | 0.0684258 | + | 0.116635i | ||||
\(197\) | 2.07042 | + | 2.52281i | 0.147511 | + | 0.179743i | 0.841524 | − | 0.540220i | \(-0.181659\pi\) |
−0.694013 | + | 0.719963i | \(0.744159\pi\) | |||||||
\(198\) | 4.60996 | − | 0.777594i | 0.327616 | − | 0.0552612i | ||||
\(199\) | 6.03645 | + | 9.03418i | 0.427912 | + | 0.640416i | 0.981295 | − | 0.192511i | \(-0.0616632\pi\) |
−0.553382 | + | 0.832927i | \(0.686663\pi\) | |||||||
\(200\) | 25.9727 | + | 10.4420i | 1.83655 | + | 0.738359i | ||||
\(201\) | −3.76993 | − | 2.51899i | −0.265910 | − | 0.177676i | ||||
\(202\) | −2.72825 | + | 1.03769i | −0.191959 | + | 0.0730117i | ||||
\(203\) | −13.7060 | + | 4.15766i | −0.961970 | + | 0.291810i | ||||
\(204\) | −7.68465 | + | 1.84828i | −0.538033 | + | 0.129406i | ||||
\(205\) | 32.0544 | + | 26.3063i | 2.23877 | + | 1.83731i | ||||
\(206\) | 2.74885 | + | 10.1179i | 0.191521 | + | 0.704947i | ||||
\(207\) | −0.421871 | + | 1.01849i | −0.0293221 | + | 0.0707897i | ||||
\(208\) | −25.6332 | − | 11.1870i | −1.77734 | − | 0.775676i | ||||
\(209\) | 7.57548 | + | 18.2888i | 0.524007 | + | 1.26506i | ||||
\(210\) | 10.6260 | − | 8.21249i | 0.733262 | − | 0.566716i | ||||
\(211\) | −0.106935 | − | 1.08573i | −0.00736172 | − | 0.0747448i | 0.990802 | − | 0.135320i | \(-0.0432064\pi\) |
−0.998164 | + | 0.0605756i | \(0.980706\pi\) | |||||||
\(212\) | −4.27805 | + | 11.6109i | −0.293818 | + | 0.797443i | ||||
\(213\) | −1.49168 | + | 2.79073i | −0.102208 | + | 0.191218i | ||||
\(214\) | 18.8082 | + | 0.550216i | 1.28570 | + | 0.0376120i | ||||
\(215\) | −2.88658 | − | 14.5118i | −0.196863 | − | 0.989697i | ||||
\(216\) | 0.792754 | − | 2.71506i | 0.0539401 | − | 0.184736i | ||||
\(217\) | 6.26705 | + | 1.24659i | 0.425435 | + | 0.0846243i | ||||
\(218\) | −5.02966 | + | 3.15196i | −0.340651 | + | 0.213478i | ||||
\(219\) | 0.473696 | − | 4.80952i | 0.0320094 | − | 0.324997i | ||||
\(220\) | 24.1066 | − | 8.37059i | 1.62526 | − | 0.564345i | ||||
\(221\) | −8.02105 | + | 26.4419i | −0.539554 | + | 1.77867i | ||||
\(222\) | 1.66055 | − | 1.90683i | 0.111449 | − | 0.127978i | ||||
\(223\) | −16.9852 | + | 16.9852i | −1.13741 | + | 1.13741i | −0.148502 | + | 0.988912i | \(0.547445\pi\) |
−0.988912 | + | 0.148502i | \(0.952555\pi\) | |||||||
\(224\) | −13.5043 | − | 3.36783i | −0.902297 | − | 0.225023i | ||||
\(225\) | 6.99828 | + | 6.99828i | 0.466552 | + | 0.466552i | ||||
\(226\) | 24.2327 | − | 1.67299i | 1.61193 | − | 0.111286i | ||||
\(227\) | 8.78060 | + | 2.66357i | 0.582789 | + | 0.176787i | 0.567894 | − | 0.823102i | \(-0.307759\pi\) |
0.0148953 | + | 0.999889i | \(0.495259\pi\) | |||||||
\(228\) | 11.9559 | + | 0.700116i | 0.791800 | + | 0.0463663i | ||||
\(229\) | 13.3368 | + | 1.31356i | 0.881320 | + | 0.0868025i | 0.528545 | − | 0.848906i | \(-0.322738\pi\) |
0.352776 | + | 0.935708i | \(0.385238\pi\) | |||||||
\(230\) | −1.34600 | + | 5.86488i | −0.0887526 | + | 0.386719i | ||||
\(231\) | 1.58676 | − | 7.97717i | 0.104401 | − | 0.524859i | ||||
\(232\) | −7.60969 | + | 14.6013i | −0.499601 | + | 0.958622i | ||||
\(233\) | −11.5813 | + | 2.30366i | −0.758716 | + | 0.150918i | −0.559264 | − | 0.828989i | \(-0.688916\pi\) |
−0.199452 | + | 0.979908i | \(0.563916\pi\) | |||||||
\(234\) | −6.78456 | − | 7.19347i | −0.443520 | − | 0.470252i | ||||
\(235\) | −9.68533 | − | 5.17692i | −0.631801 | − | 0.337705i | ||||
\(236\) | −29.1774 | + | 1.15847i | −1.89929 | + | 0.0754098i | ||||
\(237\) | −9.29086 | + | 0.915070i | −0.603506 | + | 0.0594402i | ||||
\(238\) | −1.74737 | + | 13.6391i | −0.113265 | + | 0.884092i | ||||
\(239\) | −2.48517 | + | 1.02939i | −0.160752 | + | 0.0665859i | −0.461609 | − | 0.887084i | \(-0.652728\pi\) |
0.300856 | + | 0.953670i | \(0.402728\pi\) | |||||||
\(240\) | 1.80194 | − | 15.3332i | 0.116315 | − | 0.989752i | ||||
\(241\) | −0.203878 | − | 0.0844492i | −0.0131330 | − | 0.00543985i | 0.376107 | − | 0.926576i | \(-0.377262\pi\) |
−0.389240 | + | 0.921136i | \(0.627262\pi\) | |||||||
\(242\) | −0.0504601 | + | 0.0881060i | −0.00324370 | + | 0.00566367i | ||||
\(243\) | 0.634393 | − | 0.773010i | 0.0406963 | − | 0.0495886i | ||||
\(244\) | −0.149038 | + | 0.943514i | −0.00954118 | + | 0.0604023i | ||||
\(245\) | 1.06055 | + | 3.49615i | 0.0677559 | + | 0.223361i | ||||
\(246\) | 6.22240 | − | 13.8612i | 0.396726 | − | 0.883759i | ||||
\(247\) | 23.2615 | − | 34.8132i | 1.48009 | − | 2.21511i | ||||
\(248\) | 6.06481 | − | 4.14459i | 0.385116 | − | 0.263181i | ||||
\(249\) | −6.00271 | + | 4.01088i | −0.380406 | + | 0.254179i | ||||
\(250\) | 21.7815 | + | 15.4940i | 1.37758 | + | 0.979927i | ||||
\(251\) | 10.3345 | − | 8.48127i | 0.652305 | − | 0.535333i | −0.249008 | − | 0.968501i | \(-0.580105\pi\) |
0.901313 | + | 0.433169i | \(0.142605\pi\) | |||||||
\(252\) | −3.92464 | − | 2.96832i | −0.247229 | − | 0.186987i | ||||
\(253\) | 1.71791 | + | 3.21399i | 0.108004 | + | 0.202062i | ||||
\(254\) | 14.1394 | − | 7.03404i | 0.887185 | − | 0.441355i | ||||
\(255\) | −15.2530 | −0.955181 | ||||||||
\(256\) | −13.6284 | + | 8.38253i | −0.851775 | + | 0.523908i | ||||
\(257\) | 13.6022 | 0.848482 | 0.424241 | − | 0.905549i | \(-0.360541\pi\) | ||||
0.424241 | + | 0.905549i | \(0.360541\pi\) | |||||||
\(258\) | −4.85394 | + | 2.41473i | −0.302193 | + | 0.150335i | ||||
\(259\) | −2.07367 | − | 3.87956i | −0.128851 | − | 0.241064i | ||||
\(260\) | −43.0478 | − | 32.5583i | −2.66971 | − | 2.01918i | ||||
\(261\) | −4.49997 | + | 3.69303i | −0.278541 | + | 0.228593i | ||||
\(262\) | −2.38659 | − | 1.69767i | −0.147444 | − | 0.104882i | ||||
\(263\) | 17.4449 | − | 11.6563i | 1.07570 | − | 0.718760i | 0.114171 | − | 0.993461i | \(-0.463579\pi\) |
0.961530 | + | 0.274701i | \(0.0885788\pi\) | |||||||
\(264\) | −5.27554 | − | 7.71974i | −0.324687 | − | 0.475117i | ||||
\(265\) | −13.2669 | + | 19.8553i | −0.814979 | + | 1.21970i | ||||
\(266\) | 8.53303 | − | 19.0084i | 0.523194 | − | 1.16548i | ||||
\(267\) | 2.92643 | + | 9.64715i | 0.179095 | + | 0.590396i | ||||
\(268\) | −1.41486 | + | 8.95706i | −0.0864265 | + | 0.547139i | ||||
\(269\) | −10.7267 | + | 13.0706i | −0.654021 | + | 0.796927i | −0.989409 | − | 0.145153i | \(-0.953632\pi\) |
0.335388 | + | 0.942080i | \(0.391132\pi\) | |||||||
\(270\) | 2.71274 | − | 4.73658i | 0.165092 | − | 0.288259i | ||||
\(271\) | −6.30946 | − | 2.61346i | −0.383272 | − | 0.158757i | 0.182724 | − | 0.983164i | \(-0.441508\pi\) |
−0.565997 | + | 0.824408i | \(0.691508\pi\) | |||||||
\(272\) | 9.79664 | + | 12.4059i | 0.594009 | + | 0.752216i | ||||
\(273\) | −15.8934 | + | 6.58327i | −0.961914 | + | 0.398438i | ||||
\(274\) | 2.07474 | − | 16.1944i | 0.125340 | − | 0.978341i | ||||
\(275\) | 32.5600 | − | 3.20688i | 1.96344 | − | 0.193382i | ||||
\(276\) | 2.20307 | − | 0.0874712i | 0.132609 | − | 0.00526515i | ||||
\(277\) | 7.73714 | + | 4.13559i | 0.464880 | + | 0.248483i | 0.687169 | − | 0.726497i | \(-0.258853\pi\) |
−0.222290 | + | 0.974981i | \(0.571353\pi\) | |||||||
\(278\) | 2.30665 | + | 2.44568i | 0.138344 | + | 0.146682i | ||||
\(279\) | 2.54720 | − | 0.506669i | 0.152497 | − | 0.0303335i | ||||
\(280\) | −23.8187 | − | 12.4135i | −1.42344 | − | 0.741848i | ||||
\(281\) | −2.02756 | + | 10.1932i | −0.120954 | + | 0.608077i | 0.871993 | + | 0.489518i | \(0.162827\pi\) |
−0.992947 | + | 0.118559i | \(0.962173\pi\) | |||||||
\(282\) | −0.900096 | + | 3.92196i | −0.0536000 | + | 0.233549i | ||||
\(283\) | −9.76745 | − | 0.962010i | −0.580615 | − | 0.0571856i | −0.196553 | − | 0.980493i | \(-0.562975\pi\) |
−0.384061 | + | 0.923308i | \(0.625475\pi\) | |||||||
\(284\) | 6.31793 | + | 0.369966i | 0.374900 | + | 0.0219535i | ||||
\(285\) | 22.1173 | + | 6.70920i | 1.31011 | + | 0.397419i | ||||
\(286\) | −32.6106 | + | 2.25138i | −1.92830 | + | 0.133127i | ||||
\(287\) | −18.6912 | − | 18.6912i | −1.10331 | − | 1.10331i | ||||
\(288\) | −5.59477 | + | 0.835817i | −0.329675 | + | 0.0492510i | ||||
\(289\) | −0.977589 | + | 0.977589i | −0.0575052 | + | 0.0575052i | ||||
\(290\) | −20.8676 | + | 23.9627i | −1.22539 | + | 1.40714i | ||||
\(291\) | 3.33033 | − | 10.9786i | 0.195228 | − | 0.643579i | ||||
\(292\) | −9.13079 | + | 3.17051i | −0.534339 | + | 0.185540i | ||||
\(293\) | 1.35019 | − | 13.7087i | 0.0788790 | − | 0.800872i | −0.871628 | − | 0.490168i | \(-0.836935\pi\) |
0.950507 | − | 0.310704i | \(-0.100565\pi\) | |||||||
\(294\) | 1.13433 | − | 0.710854i | 0.0661553 | − | 0.0414579i | ||||
\(295\) | −55.2692 | − | 10.9937i | −3.21790 | − | 0.640080i | ||||
\(296\) | −4.85435 | − | 1.41739i | −0.282153 | − | 0.0823843i | ||||
\(297\) | −0.644926 | − | 3.24226i | −0.0374224 | − | 0.188135i | ||||
\(298\) | 22.8146 | + | 0.667419i | 1.32162 | + | 0.0386626i | ||||
\(299\) | 3.63353 | − | 6.79785i | 0.210132 | − | 0.393130i | ||||
\(300\) | 6.84340 | − | 18.5735i | 0.395104 | − | 1.07234i | ||||
\(301\) | 0.924485 | + | 9.38645i | 0.0532864 | + | 0.541026i | ||||
\(302\) | 7.10038 | − | 5.48767i | 0.408581 | − | 0.315780i | ||||
\(303\) | 0.789856 | + | 1.90688i | 0.0453760 | + | 0.109547i | ||||
\(304\) | −8.74853 | − | 22.2980i | −0.501763 | − | 1.27888i | ||||
\(305\) | −0.705440 | + | 1.70308i | −0.0403934 | + | 0.0975182i | ||||
\(306\) | 1.46527 | + | 5.39332i | 0.0837638 | + | 0.308316i | ||||
\(307\) | 16.7181 | + | 13.7202i | 0.954155 | + | 0.783055i | 0.976238 | − | 0.216701i | \(-0.0695298\pi\) |
−0.0220829 | + | 0.999756i | \(0.507030\pi\) | |||||||
\(308\) | −15.8159 | + | 3.80397i | −0.901193 | + | 0.216752i | ||||
\(309\) | 7.09454 | − | 2.15210i | 0.403594 | − | 0.122429i | ||||
\(310\) | 13.2500 | − | 5.03963i | 0.752547 | − | 0.286232i | ||||
\(311\) | −20.1315 | − | 13.4515i | −1.14155 | − | 0.762762i | −0.166789 | − | 0.985993i | \(-0.553340\pi\) |
−0.974766 | + | 0.223230i | \(0.928340\pi\) | |||||||
\(312\) | −7.37697 | + | 18.3490i | −0.417639 | + | 1.03881i | ||||
\(313\) | 5.99527 | + | 8.97255i | 0.338872 | + | 0.507159i | 0.961294 | − | 0.275523i | \(-0.0888512\pi\) |
−0.622422 | + | 0.782682i | \(0.713851\pi\) | |||||||
\(314\) | 4.01751 | − | 0.677661i | 0.226721 | − | 0.0382426i | ||||
\(315\) | −6.02434 | − | 7.34068i | −0.339433 | − | 0.413600i | ||||
\(316\) | 9.44811 | + | 16.1048i | 0.531498 | + | 0.905963i | ||||
\(317\) | 11.2516 | − | 6.01408i | 0.631950 | − | 0.337785i | −0.124127 | − | 0.992266i | \(-0.539613\pi\) |
0.756078 | + | 0.654482i | \(0.227113\pi\) | |||||||
\(318\) | 8.29512 | + | 2.78367i | 0.465167 | + | 0.156100i | ||||
\(319\) | 19.2441i | 1.07746i | ||||||||
\(320\) | −29.3543 | + | 9.57805i | −1.64095 | + | 0.535429i | ||||
\(321\) | − | 13.3051i | − | 0.742619i | ||||||
\(322\) | 1.22033 | − | 3.63650i | 0.0680064 | − | 0.202654i | ||||
\(323\) | −20.8704 | + | 11.1555i | −1.16126 | + | 0.620708i | ||||
\(324\) | −1.93541 | − | 0.504183i | −0.107523 | − | 0.0280102i | ||||
\(325\) | −43.9002 | − | 53.4925i | −2.43514 | − | 2.96723i | ||||
\(326\) | −5.57535 | − | 33.0535i | −0.308790 | − | 1.83066i | ||||
\(327\) | 2.33182 | + | 3.48981i | 0.128950 | + | 0.192987i | ||||
\(328\) | −30.3859 | + | 0.317172i | −1.67778 | + | 0.0175129i | ||||
\(329\) | 5.82078 | + | 3.88932i | 0.320910 | + | 0.214425i | ||||
\(330\) | −6.41482 | − | 16.8655i | −0.353124 | − | 0.928417i | ||||
\(331\) | −13.5473 | + | 4.10953i | −0.744628 | + | 0.225880i | −0.639727 | − | 0.768602i | \(-0.720953\pi\) |
−0.104901 | + | 0.994483i | \(0.533453\pi\) | |||||||
\(332\) | 12.3142 | + | 7.53916i | 0.675831 | + | 0.413765i | ||||
\(333\) | −1.38209 | − | 1.13425i | −0.0757382 | − | 0.0621568i | ||||
\(334\) | −3.80049 | + | 1.03252i | −0.207953 | + | 0.0564971i | ||||
\(335\) | −6.69695 | + | 16.1679i | −0.365893 | + | 0.883345i | ||||
\(336\) | −2.10117 | + | 9.61457i | −0.114628 | + | 0.524518i | ||||
\(337\) | 8.72310 | + | 21.0594i | 0.475177 | + | 1.14718i | 0.961846 | + | 0.273593i | \(0.0882120\pi\) |
−0.486668 | + | 0.873587i | \(0.661788\pi\) | |||||||
\(338\) | 31.0367 | + | 40.1577i | 1.68817 | + | 2.18429i | ||||
\(339\) | −1.68353 | − | 17.0932i | −0.0914369 | − | 0.928374i | ||||
\(340\) | 12.7831 | + | 27.6986i | 0.693261 | + | 1.50217i | ||||
\(341\) | 4.04715 | − | 7.57169i | 0.219166 | − | 0.410030i | ||||
\(342\) | 0.247634 | − | 8.46497i | 0.0133905 | − | 0.457733i | ||||
\(343\) | −3.81431 | − | 19.1758i | −0.205954 | − | 1.03540i | ||||
\(344\) | 8.45295 | + | 6.79075i | 0.455753 | + | 0.366133i | ||||
\(345\) | 4.17315 | + | 0.830092i | 0.224675 | + | 0.0446906i | ||||
\(346\) | −4.07015 | − | 6.49484i | −0.218813 | − | 0.349165i | ||||
\(347\) | −0.661997 | + | 6.72137i | −0.0355379 | + | 0.360822i | 0.960926 | + | 0.276804i | \(0.0892753\pi\) |
−0.996464 | + | 0.0840179i | \(0.973225\pi\) | |||||||
\(348\) | 10.4776 | + | 5.07665i | 0.561659 | + | 0.272137i | ||||
\(349\) | 6.33637 | − | 20.8882i | 0.339178 | − | 1.11812i | −0.607062 | − | 0.794655i | \(-0.707652\pi\) |
0.946240 | − | 0.323466i | \(-0.104848\pi\) | |||||||
\(350\) | −25.9697 | − | 22.6155i | −1.38814 | − | 1.20885i | ||||
\(351\) | −4.94409 | + | 4.94409i | −0.263896 | + | 0.263896i | ||||
\(352\) | −9.59731 | + | 16.0497i | −0.511538 | + | 0.855454i | ||||
\(353\) | −6.52212 | − | 6.52212i | −0.347138 | − | 0.347138i | 0.511905 | − | 0.859042i | \(-0.328940\pi\) |
−0.859042 | + | 0.511905i | \(0.828940\pi\) | |||||||
\(354\) | 1.42211 | + | 20.5988i | 0.0755842 | + | 1.09481i | ||||
\(355\) | 11.6875 | + | 3.54538i | 0.620310 | + | 0.188169i | ||||
\(356\) | 15.0661 | − | 13.3992i | 0.798501 | − | 0.710157i | ||||
\(357\) | 9.67631 | + | 0.953033i | 0.512125 | + | 0.0504399i | ||||
\(358\) | 25.4415 | + | 5.83888i | 1.34463 | + | 0.308594i | ||||
\(359\) | 5.49887 | − | 27.6447i | 0.290219 | − | 1.45903i | −0.510441 | − | 0.859913i | \(-0.670518\pi\) |
0.800660 | − | 0.599119i | \(-0.204482\pi\) | |||||||
\(360\) | −10.8748 | − | 0.956579i | −0.573153 | − | 0.0504161i | ||||
\(361\) | 16.5346 | − | 3.28894i | 0.870242 | − | 0.173102i | ||||
\(362\) | −12.4888 | + | 11.7789i | −0.656396 | + | 0.619083i | ||||
\(363\) | 0.0633171 | + | 0.0338437i | 0.00332329 | + | 0.00177633i | ||||
\(364\) | 25.2746 | + | 23.3443i | 1.32475 | + | 1.22357i | ||||
\(365\) | −18.5632 | + | 1.82831i | −0.971640 | + | 0.0956982i | ||||
\(366\) | 0.669961 | + | 0.0858318i | 0.0350194 | + | 0.00448650i | ||||
\(367\) | 26.2430 | − | 10.8702i | 1.36988 | − | 0.567421i | 0.428121 | − | 0.903721i | \(-0.359176\pi\) |
0.941755 | + | 0.336300i | \(0.109176\pi\) | |||||||
\(368\) | −2.00517 | − | 3.92733i | −0.104527 | − | 0.204726i | ||||
\(369\) | −9.92583 | − | 4.11141i | −0.516718 | − | 0.214032i | ||||
\(370\) | −8.46870 | − | 4.85020i | −0.440267 | − | 0.252150i | ||||
\(371\) | 9.65693 | − | 11.7670i | 0.501363 | − | 0.610912i | ||||
\(372\) | −3.05481 | − | 4.20093i | −0.158385 | − | 0.217808i | ||||
\(373\) | 7.82879 | + | 25.8081i | 0.405360 | + | 1.33629i | 0.887746 | + | 0.460333i | \(0.152270\pi\) |
−0.482387 | + | 0.875958i | \(0.660230\pi\) | |||||||
\(374\) | 16.8550 | + | 7.56635i | 0.871553 | + | 0.391247i | ||||
\(375\) | 10.5009 | − | 15.7156i | 0.542262 | − | 0.811552i | ||||
\(376\) | 7.87638 | − | 1.65236i | 0.406193 | − | 0.0852137i | ||||
\(377\) | 33.8433 | − | 22.6133i | 1.74302 | − | 1.16465i | ||||
\(378\) | −2.01687 | + | 2.83533i | −0.103737 | + | 0.145833i | ||||
\(379\) | 24.5562 | − | 20.1528i | 1.26137 | − | 1.03518i | 0.263864 | − | 0.964560i | \(-0.415003\pi\) |
0.997503 | − | 0.0706177i | \(-0.0224970\pi\) | |||||||
\(380\) | −6.35232 | − | 45.7864i | −0.325867 | − | 2.34879i | ||||
\(381\) | −5.26405 | − | 9.84835i | −0.269685 | − | 0.504546i | ||||
\(382\) | −7.18640 | − | 14.4457i | −0.367688 | − | 0.739104i | ||||
\(383\) | 1.16704 | 0.0596330 | 0.0298165 | − | 0.999555i | \(-0.490508\pi\) | ||||
0.0298165 | + | 0.999555i | \(0.490508\pi\) | |||||||
\(384\) | 6.20660 | + | 9.45929i | 0.316729 | + | 0.482717i | ||||
\(385\) | −31.3925 | −1.59991 | ||||||||
\(386\) | 6.25080 | + | 12.5650i | 0.318157 | + | 0.639540i | ||||
\(387\) | 1.80711 | + | 3.38086i | 0.0918604 | + | 0.171859i | ||||
\(388\) | −22.7276 | + | 3.15319i | −1.15382 | + | 0.160079i | ||||
\(389\) | −14.8032 | + | 12.1486i | −0.750550 | + | 0.615961i | −0.929895 | − | 0.367826i | \(-0.880102\pi\) |
0.179345 | + | 0.983786i | \(0.442602\pi\) | |||||||
\(390\) | −22.1223 | + | 31.0996i | −1.12021 | + | 1.57479i | ||||
\(391\) | −3.62236 | + | 2.42038i | −0.183191 | + | 0.122404i | ||||
\(392\) | −2.24151 | − | 1.46412i | −0.113214 | − | 0.0739494i | ||||
\(393\) | −1.15057 | + | 1.72195i | −0.0580388 | + | 0.0868611i | ||||
\(394\) | −4.21065 | − | 1.89019i | −0.212130 | − | 0.0952265i | ||||
\(395\) | 10.4599 | + | 34.4816i | 0.526294 | + | 1.73496i | ||||
\(396\) | −5.34726 | + | 3.88839i | −0.268710 | + | 0.195399i | ||||
\(397\) | 20.5557 | − | 25.0472i | 1.03166 | − | 1.25709i | 0.0658546 | − | 0.997829i | \(-0.479023\pi\) |
0.965809 | − | 0.259256i | \(-0.0834774\pi\) | |||||||
\(398\) | −13.3339 | − | 7.63659i | −0.668368 | − | 0.382788i | ||||
\(399\) | −13.6117 | − | 5.63815i | −0.681437 | − | 0.282260i | ||||
\(400\) | −39.4636 | + | 3.13870i | −1.97318 | + | 0.156935i | ||||
\(401\) | 29.4276 | − | 12.1893i | 1.46954 | − | 0.608705i | 0.502788 | − | 0.864410i | \(-0.332308\pi\) |
0.966755 | + | 0.255705i | \(0.0823076\pi\) | |||||||
\(402\) | 6.36014 | + | 0.814827i | 0.317215 | + | 0.0406399i | ||||
\(403\) | −18.0715 | + | 1.77989i | −0.900205 | + | 0.0886625i | ||||
\(404\) | 2.80083 | − | 3.03243i | 0.139346 | − | 0.150869i | ||||
\(405\) | −3.40393 | − | 1.81944i | −0.169142 | − | 0.0904085i | ||||
\(406\) | 14.7354 | − | 13.8977i | 0.731305 | − | 0.689734i | ||||
\(407\) | −5.79696 | + | 1.15309i | −0.287345 | + | 0.0571564i | ||||
\(408\) | 8.56596 | − | 7.18082i | 0.424078 | − | 0.355504i | ||||
\(409\) | −6.96876 | + | 35.0343i | −0.344583 | + | 1.73234i | 0.287809 | + | 0.957688i | \(0.407073\pi\) |
−0.632392 | + | 0.774649i | \(0.717927\pi\) | |||||||
\(410\) | −57.1571 | − | 13.1177i | −2.82279 | − | 0.647835i | ||||
\(411\) | −11.4892 | − | 1.13159i | −0.566720 | − | 0.0558170i | ||||
\(412\) | −9.85382 | − | 11.0796i | −0.485463 | − | 0.545855i | ||||
\(413\) | 34.3751 | + | 10.4276i | 1.69149 | + | 0.513108i | ||||
\(414\) | −0.107378 | − | 1.55533i | −0.00527732 | − | 0.0764403i | ||||
\(415\) | 19.7032 | + | 19.7032i | 0.967191 | + | 0.967191i | ||||
\(416\) | 39.5031 | − | 1.98160i | 1.93680 | − | 0.0971559i | ||||
\(417\) | 1.68092 | − | 1.68092i | 0.0823151 | − | 0.0823151i | ||||
\(418\) | −21.1121 | − | 18.3853i | −1.03263 | − | 0.899253i | ||||
\(419\) | −5.03762 | + | 16.6068i | −0.246104 | + | 0.811295i | 0.743657 | + | 0.668561i | \(0.233089\pi\) |
−0.989761 | + | 0.142734i | \(0.954411\pi\) | |||||||
\(420\) | −8.28141 | + | 17.0918i | −0.404091 | + | 0.833997i | ||||
\(421\) | 0.466805 | − | 4.73955i | 0.0227507 | − | 0.230992i | −0.977085 | − | 0.212851i | \(-0.931725\pi\) |
0.999835 | − | 0.0181410i | \(-0.00577476\pi\) | |||||||
\(422\) | 0.819302 | + | 1.30738i | 0.0398830 | + | 0.0636422i | ||||
\(423\) | 2.79067 | + | 0.555098i | 0.135687 | + | 0.0269898i | ||||
\(424\) | −1.89693 | − | 17.3964i | −0.0921229 | − | 0.844842i | ||||
\(425\) | 7.63040 | + | 38.3606i | 0.370129 | + | 1.86076i | ||||
\(426\) | 0.130859 | − | 4.47319i | 0.00634013 | − | 0.216727i | ||||
\(427\) | 0.553933 | − | 1.03634i | 0.0268067 | − | 0.0501518i | ||||
\(428\) | −24.1613 | + | 11.1506i | −1.16788 | + | 0.538985i | ||||
\(429\) | 2.26557 | + | 23.0028i | 0.109383 | + | 1.11058i | ||||
\(430\) | 12.7959 | + | 16.5564i | 0.617075 | + | 0.798420i | ||||
\(431\) | −7.58467 | − | 18.3110i | −0.365341 | − | 0.882011i | −0.994500 | − | 0.104734i | \(-0.966601\pi\) |
0.629159 | − | 0.777276i | \(-0.283399\pi\) | |||||||
\(432\) | 0.706441 | + | 3.93712i | 0.0339887 | + | 0.189425i | ||||
\(433\) | −1.54887 | + | 3.73930i | −0.0744339 | + | 0.179699i | −0.956717 | − | 0.291020i | \(-0.906005\pi\) |
0.882283 | + | 0.470719i | \(0.156005\pi\) | |||||||
\(434\) | −8.72048 | + | 2.36920i | −0.418596 | + | 0.113725i | ||||
\(435\) | 17.3684 | + | 14.2539i | 0.832751 | + | 0.683421i | ||||
\(436\) | 4.38306 | − | 7.15915i | 0.209911 | − | 0.342861i | ||||
\(437\) | 6.31715 | − | 1.91629i | 0.302190 | − | 0.0916684i | ||||
\(438\) | 2.42973 | + | 6.38812i | 0.116097 | + | 0.305236i | ||||
\(439\) | 33.3724 | + | 22.2987i | 1.59278 | + | 1.06426i | 0.956064 | + | 0.293159i | \(0.0947066\pi\) |
0.636714 | + | 0.771100i | \(0.280293\pi\) | |||||||
\(440\) | −25.2507 | + | 25.7834i | −1.20378 | + | 1.22918i | ||||
\(441\) | −0.525889 | − | 0.787049i | −0.0250424 | − | 0.0374785i | ||||
\(442\) | −6.49958 | − | 38.5328i | −0.309154 | − | 1.83282i | ||||
\(443\) | −1.80619 | − | 2.20085i | −0.0858149 | − | 0.104566i | 0.728333 | − | 0.685223i | \(-0.240295\pi\) |
−0.814148 | + | 0.580658i | \(0.802795\pi\) | |||||||
\(444\) | −0.901447 | + | 3.46038i | −0.0427808 | + | 0.164223i | ||||
\(445\) | 34.3158 | − | 18.3422i | 1.62673 | − | 0.869503i | ||||
\(446\) | 10.8075 | − | 32.2054i | 0.511748 | − | 1.52497i | ||||
\(447\) | − | 16.1393i | − | 0.763362i | ||||||
\(448\) | 19.2204 | − | 4.24209i | 0.908079 | − | 0.200420i | ||||
\(449\) | 27.7113i | 1.30778i | 0.756590 | + | 0.653889i | \(0.226864\pi\) | ||||
−0.756590 | + | 0.653889i | \(0.773136\pi\) | |||||||
\(450\) | −13.2693 | − | 4.45291i | −0.625522 | − | 0.209912i | ||||
\(451\) | −31.3224 | + | 16.7422i | −1.47492 | + | 0.788359i | ||||
\(452\) | −29.6293 | + | 17.3825i | −1.39364 | + | 0.817603i | ||||
\(453\) | −4.02552 | − | 4.90511i | −0.189136 | − | 0.230462i | ||||
\(454\) | −12.7956 | + | 2.15833i | −0.600530 | + | 0.101295i | ||||
\(455\) | 36.8885 | + | 55.2076i | 1.72936 | + | 2.58817i | ||||
\(456\) | −15.5794 | + | 6.64455i | −0.729573 | + | 0.311160i | ||||
\(457\) | 12.1272 | + | 8.10312i | 0.567285 | + | 0.379048i | 0.805887 | − | 0.592070i | \(-0.201689\pi\) |
−0.238601 | + | 0.971118i | \(0.576689\pi\) | |||||||
\(458\) | −17.7143 | + | 6.73763i | −0.827733 | + | 0.314829i | ||||
\(459\) | 3.78173 | − | 1.14717i | 0.176516 | − | 0.0535455i | ||||
\(460\) | −1.99000 | − | 8.27387i | −0.0927842 | − | 0.385771i | ||||
\(461\) | 0.415165 | + | 0.340717i | 0.0193362 | + | 0.0158688i | 0.644012 | − | 0.765016i | \(-0.277269\pi\) |
−0.624676 | + | 0.780884i | \(0.714769\pi\) | |||||||
\(462\) | 3.01569 | + | 11.1001i | 0.140303 | + | 0.516422i | ||||
\(463\) | 6.18436 | − | 14.9304i | 0.287412 | − | 0.693873i | −0.712558 | − | 0.701613i | \(-0.752464\pi\) |
0.999970 | + | 0.00773975i | \(0.00246366\pi\) | |||||||
\(464\) | 0.437925 | − | 23.2813i | 0.0203302 | − | 1.08081i | ||||
\(465\) | −3.83600 | − | 9.26093i | −0.177890 | − | 0.429465i | ||||
\(466\) | 13.2130 | − | 10.2119i | 0.612081 | − | 0.473058i | ||||
\(467\) | 0.340199 | + | 3.45410i | 0.0157425 | + | 0.159836i | 0.999842 | − | 0.0177823i | \(-0.00566059\pi\) |
−0.984099 | + | 0.177619i | \(0.943161\pi\) | |||||||
\(468\) | 13.1217 | + | 4.83468i | 0.606550 | + | 0.223483i | ||||
\(469\) | 5.25865 | − | 9.83824i | 0.242822 | − | 0.454288i | ||||
\(470\) | 15.5244 | + | 0.454150i | 0.716085 | + | 0.0209484i | ||||
\(471\) | −0.562043 | − | 2.82558i | −0.0258976 | − | 0.130196i | ||||
\(472\) | 36.2143 | − | 19.8457i | 1.66690 | − | 0.913472i | ||||
\(473\) | 12.4293 | + | 2.47234i | 0.571499 | + | 0.113678i | ||||
\(474\) | 11.1876 | − | 7.01096i | 0.513861 | − | 0.322024i | ||||
\(475\) | 5.80904 | − | 58.9802i | 0.266537 | − | 2.70620i | ||||
\(476\) | −6.37878 | − | 18.3703i | −0.292371 | − | 0.842002i | ||||
\(477\) | 1.79599 | − | 5.92059i | 0.0822327 | − | 0.271085i | ||||
\(478\) | 2.49828 | − | 2.86881i | 0.114269 | − | 0.131216i | ||||
\(479\) | −2.28697 | + | 2.28697i | −0.104494 | + | 0.104494i | −0.757421 | − | 0.652927i | \(-0.773541\pi\) |
0.652927 | + | 0.757421i | \(0.273541\pi\) | |||||||
\(480\) | 7.37676 | + | 20.5497i | 0.336702 | + | 0.937960i | ||||
\(481\) | 8.83972 | + | 8.83972i | 0.403057 | + | 0.403057i | ||||
\(482\) | 0.311342 | − | 0.0214946i | 0.0141813 | − | 0.000979052i | ||||
\(483\) | −2.59553 | − | 0.787344i | −0.118101 | − | 0.0358254i | ||||
\(484\) | 0.00839393 | − | 0.143343i | 0.000381542 | − | 0.00651561i | ||||
\(485\) | −44.0674 | − | 4.34026i | −2.00100 | − | 0.197081i | ||||
\(486\) | −0.316341 | + | 1.37838i | −0.0143495 | + | 0.0625245i | ||||
\(487\) | −2.73762 | + | 13.7629i | −0.124053 | + | 0.623658i | 0.867867 | + | 0.496796i | \(0.165490\pi\) |
−0.991920 | + | 0.126862i | \(0.959510\pi\) | |||||||
\(488\) | −0.405609 | − | 1.28854i | −0.0183611 | − | 0.0583296i | ||||
\(489\) | −23.2471 | + | 4.62413i | −1.05127 | + | 0.209110i | ||||
\(490\) | −3.54508 | − | 3.75874i | −0.160150 | − | 0.169803i | ||||
\(491\) | −15.7806 | − | 8.43492i | −0.712170 | − | 0.380663i | 0.0751792 | − | 0.997170i | \(-0.476047\pi\) |
−0.787349 | + | 0.616507i | \(0.788547\pi\) | |||||||
\(492\) | 0.852465 | + | 21.4704i | 0.0384321 | + | 0.967959i | ||||
\(493\) | −22.8946 | + | 2.25492i | −1.03112 | + | 0.101557i | ||||
\(494\) | −7.52447 | + | 58.7324i | −0.338542 | + | 2.64250i | ||||
\(495\) | −11.7880 | + | 4.88275i | −0.529831 | + | 0.219463i | ||||
\(496\) | −5.06850 | + | 9.06803i | −0.227582 | + | 0.407167i | ||||
\(497\) | −7.19290 | − | 2.97940i | −0.322646 | − | 0.133644i | ||||
\(498\) | 5.07409 | − | 8.85963i | 0.227376 | − | 0.397010i | ||||
\(499\) | 8.97029 | − | 10.9303i | 0.401565 | − | 0.489309i | −0.532490 | − | 0.846436i | \(-0.678744\pi\) |
0.934056 | + | 0.357127i | \(0.116244\pi\) | |||||||
\(500\) | −37.3391 | − | 5.89811i | −1.66986 | − | 0.263772i | ||||
\(501\) | 0.808374 | + | 2.66485i | 0.0361155 | + | 0.119057i | ||||
\(502\) | −7.74299 | + | 17.2485i | −0.345586 | + | 0.769839i | ||||
\(503\) | −8.13683 | + | 12.1776i | −0.362803 | + | 0.542974i | −0.967300 | − | 0.253634i | \(-0.918374\pi\) |
0.604497 | + | 0.796607i | \(0.293374\pi\) | |||||||
\(504\) | 6.83906 | + | 1.28632i | 0.304636 | + | 0.0572971i | ||||
\(505\) | 6.62377 | − | 4.42586i | 0.294754 | − | 0.196948i | ||||
\(506\) | −4.19969 | − | 2.98739i | −0.186699 | − | 0.132806i | ||||
\(507\) | 27.7419 | − | 22.7672i | 1.23206 | − | 1.01113i | ||||
\(508\) | −13.4724 | + | 17.8128i | −0.597739 | + | 0.790315i | ||||
\(509\) | −14.8006 | − | 27.6900i | −0.656027 | − | 1.22734i | −0.961412 | − | 0.275111i | \(-0.911285\pi\) |
0.305386 | − | 0.952229i | \(-0.401215\pi\) | |||||||
\(510\) | 19.3132 | − | 9.60787i | 0.855201 | − | 0.425444i | ||||
\(511\) | 11.8905 | 0.526003 | ||||||||
\(512\) | 11.9759 | − | 19.1984i | 0.529266 | − | 0.848456i | ||||
\(513\) | −5.98820 | −0.264385 | ||||||||
\(514\) | −17.2229 | + | 8.56803i | −0.759670 | + | 0.377919i | ||||
\(515\) | −13.4889 | − | 25.2359i | −0.594391 | − | 1.11203i | ||||
\(516\) | 4.62495 | − | 6.11500i | 0.203602 | − | 0.269198i | ||||
\(517\) | 7.27100 | − | 5.96715i | 0.319778 | − | 0.262435i | ||||
\(518\) | 5.06938 | + | 3.60604i | 0.222736 | + | 0.158440i | ||||
\(519\) | −4.50642 | + | 3.01110i | −0.197810 | + | 0.132172i | ||||
\(520\) | 75.0150 | + | 14.1091i | 3.28962 | + | 0.618725i | ||||
\(521\) | −11.0340 | + | 16.5136i | −0.483409 | + | 0.723472i | −0.990362 | − | 0.138501i | \(-0.955772\pi\) |
0.506953 | + | 0.861973i | \(0.330772\pi\) | |||||||
\(522\) | 3.37156 | − | 7.51059i | 0.147569 | − | 0.328729i | ||||
\(523\) | 3.85021 | + | 12.6924i | 0.168358 | + | 0.555002i | 1.00000 | 0.000310263i | \(-9.87599e-5\pi\) | |
−0.831642 | + | 0.555312i | \(0.812599\pi\) | |||||||
\(524\) | 4.09123 | + | 0.646253i | 0.178726 | + | 0.0282317i | ||||
\(525\) | −15.4478 | + | 18.8231i | −0.674195 | + | 0.821509i | ||||
\(526\) | −14.7462 | + | 25.7476i | −0.642965 | + | 1.12265i | ||||
\(527\) | 9.48221 | + | 3.92766i | 0.413052 | + | 0.171092i | ||||
\(528\) | 11.5425 | + | 6.45156i | 0.502322 | + | 0.280768i | ||||
\(529\) | −20.1264 | + | 8.33665i | −0.875063 | + | 0.362463i | ||||
\(530\) | 4.29149 | − | 33.4973i | 0.186411 | − | 1.45503i | ||||
\(531\) | 14.5299 | − | 1.43107i | 0.630544 | − | 0.0621032i | ||||
\(532\) | 1.16902 | + | 29.4432i | 0.0506834 | + | 1.27652i | ||||
\(533\) | 66.2495 | + | 35.4111i | 2.86959 | + | 1.53383i | ||||
\(534\) | −9.78215 | − | 10.3717i | −0.423315 | − | 0.448829i | ||||
\(535\) | −50.3666 | + | 10.0185i | −2.17754 | + | 0.433139i | ||||
\(536\) | −3.85057 | − | 12.2325i | −0.166319 | − | 0.528364i | ||||
\(537\) | 3.60089 | − | 18.1029i | 0.155390 | − | 0.781198i | ||||
\(538\) | 5.34889 | − | 23.3065i | 0.230607 | − | 1.00482i | ||||
\(539\) | −3.11411 | − | 0.306713i | −0.134134 | − | 0.0132111i | ||||
\(540\) | −0.451257 | + | 7.70614i | −0.0194190 | + | 0.331620i | ||||
\(541\) | 13.3912 | + | 4.06219i | 0.575734 | + | 0.174647i | 0.564706 | − | 0.825292i | \(-0.308990\pi\) |
0.0110282 | + | 0.999939i | \(0.496490\pi\) | |||||||
\(542\) | 9.63517 | − | 0.665197i | 0.413866 | − | 0.0285727i | ||||
\(543\) | 8.58358 | + | 8.58358i | 0.368356 | + | 0.368356i | ||||
\(544\) | −20.2188 | − | 9.53723i | −0.866875 | − | 0.408905i | ||||
\(545\) | 11.4549 | − | 11.4549i | 0.490673 | − | 0.490673i | ||||
\(546\) | 15.9772 | − | 18.3469i | 0.683762 | − | 0.785175i | ||||
\(547\) | −3.71293 | + | 12.2399i | −0.158754 | + | 0.523340i | −0.999846 | − | 0.0175511i | \(-0.994413\pi\) |
0.841092 | + | 0.540891i | \(0.181913\pi\) | |||||||
\(548\) | 7.57386 | + | 21.8120i | 0.323539 | + | 0.931764i | ||||
\(549\) | 0.0468136 | − | 0.475306i | 0.00199796 | − | 0.0202856i | ||||
\(550\) | −39.2070 | + | 24.5700i | −1.67179 | + | 1.04767i | ||||
\(551\) | 34.1896 | + | 6.80074i | 1.45653 | + | 0.289721i | ||||
\(552\) | −2.73440 | + | 1.49847i | −0.116384 | + | 0.0637790i | ||||
\(553\) | −4.48114 | − | 22.5282i | −0.190557 | − | 0.957997i | ||||
\(554\) | −12.4017 | − | 0.362798i | −0.526896 | − | 0.0154138i | ||||
\(555\) | −3.25304 | + | 6.08600i | −0.138084 | + | 0.258336i | ||||
\(556\) | −4.46119 | − | 1.64372i | −0.189196 | − | 0.0697094i | ||||
\(557\) | −2.95877 | − | 30.0409i | −0.125367 | − | 1.27287i | −0.827760 | − | 0.561083i | \(-0.810385\pi\) |
0.702393 | − | 0.711789i | \(-0.252115\pi\) | |||||||
\(558\) | −2.90607 | + | 2.24602i | −0.123024 | + | 0.0950815i | ||||
\(559\) | −10.2574 | − | 24.7636i | −0.433843 | − | 1.04739i | ||||
\(560\) | 37.9782 | + | 0.714375i | 1.60487 | + | 0.0301879i | ||||
\(561\) | 4.99942 | − | 12.0697i | 0.211076 | − | 0.509582i | ||||
\(562\) | −3.85345 | − | 14.1837i | −0.162548 | − | 0.598302i | ||||
\(563\) | 34.8402 | + | 28.5926i | 1.46834 | + | 1.20503i | 0.932734 | + | 0.360566i | \(0.117416\pi\) |
0.535605 | + | 0.844469i | \(0.320084\pi\) | |||||||
\(564\) | −1.33075 | − | 5.53290i | −0.0560347 | − | 0.232977i | ||||
\(565\) | −63.4387 | + | 19.2439i | −2.66889 | + | 0.809598i | ||||
\(566\) | 12.9734 | − | 4.93443i | 0.545312 | − | 0.207410i | ||||
\(567\) | 2.04572 | + | 1.36691i | 0.0859123 | + | 0.0574048i | ||||
\(568\) | −8.23271 | + | 3.51122i | −0.345437 | + | 0.147327i | ||||
\(569\) | −13.9186 | − | 20.8306i | −0.583498 | − | 0.873266i | 0.415848 | − | 0.909434i | \(-0.363485\pi\) |
−0.999346 | + | 0.0361679i | \(0.988485\pi\) | |||||||
\(570\) | −32.2307 | + | 5.43657i | −1.34999 | + | 0.227713i | ||||
\(571\) | 24.5933 | + | 29.9670i | 1.02920 | + | 1.25408i | 0.966666 | + | 0.256039i | \(0.0824176\pi\) |
0.0625320 | + | 0.998043i | \(0.480082\pi\) | |||||||
\(572\) | 39.8729 | − | 23.3921i | 1.66717 | − | 0.978072i | ||||
\(573\) | −10.0617 | + | 5.37807i | −0.420332 | + | 0.224672i | ||||
\(574\) | 35.4401 | + | 11.8929i | 1.47924 | + | 0.496402i | ||||
\(575\) | − | 10.9105i | − | 0.455001i | ||||||
\(576\) | 6.55753 | − | 4.58244i | 0.273230 | − | 0.190935i | ||||
\(577\) | − | 10.9632i | − | 0.456405i | −0.973614 | − | 0.228202i | \(-0.926715\pi\) | ||
0.973614 | − | 0.228202i | \(-0.0732848\pi\) | |||||||
\(578\) | 0.622026 | − | 1.85359i | 0.0258729 | − | 0.0770993i | ||||
\(579\) | 8.75173 | − | 4.67790i | 0.363709 | − | 0.194407i | ||||
\(580\) | 11.3282 | − | 43.4857i | 0.470380 | − | 1.80565i | ||||
\(581\) | −11.2683 | − | 13.7305i | −0.467490 | − | 0.569638i | ||||
\(582\) | 2.69862 | + | 15.9988i | 0.111861 | + | 0.663170i | ||||
\(583\) | −11.3630 | − | 17.0059i | −0.470608 | − | 0.704314i | ||||
\(584\) | 9.56417 | − | 9.76594i | 0.395768 | − | 0.404117i | ||||
\(585\) | 22.4387 | + | 14.9931i | 0.927727 | + | 0.619888i | ||||
\(586\) | 6.92553 | + | 18.2083i | 0.286091 | + | 0.752177i | ||||
\(587\) | −14.5873 | + | 4.42502i | −0.602084 | + | 0.182640i | −0.576588 | − | 0.817035i | \(-0.695616\pi\) |
−0.0254955 | + | 0.999675i | \(0.508116\pi\) | |||||||
\(588\) | −0.988502 | + | 1.61459i | −0.0407651 | + | 0.0665844i | ||||
\(589\) | −12.0218 | − | 9.86606i | −0.495351 | − | 0.406524i | ||||
\(590\) | 76.9060 | − | 20.8940i | 3.16617 | − | 0.860191i | ||||
\(591\) | −1.24893 | + | 3.01519i | −0.0513743 | + | 0.124028i | ||||
\(592\) | 7.03932 | − | 1.26307i | 0.289314 | − | 0.0519119i | ||||
\(593\) | 4.95416 | + | 11.9604i | 0.203443 | + | 0.491155i | 0.992365 | − | 0.123339i | \(-0.0393603\pi\) |
−0.788922 | + | 0.614494i | \(0.789360\pi\) | |||||||
\(594\) | 2.85890 | + | 3.69907i | 0.117302 | + | 0.151775i | ||||
\(595\) | −3.67839 | − | 37.3474i | −0.150799 | − | 1.53109i | ||||
\(596\) | −29.3080 | + | 13.5259i | −1.20050 | + | 0.554040i | ||||
\(597\) | −5.12187 | + | 9.58235i | −0.209624 | + | 0.392180i | ||||
\(598\) | −0.318755 | + | 10.8961i | −0.0130348 | + | 0.445574i | ||||
\(599\) | 0.615640 | + | 3.09503i | 0.0251544 | + | 0.126460i | 0.991322 | − | 0.131455i | \(-0.0419648\pi\) |
−0.966168 | + | 0.257914i | \(0.916965\pi\) | |||||||
\(600\) | 3.03443 | + | 27.8282i | 0.123880 | + | 1.13608i | ||||
\(601\) | 20.5609 | + | 4.08982i | 0.838697 | + | 0.166827i | 0.595707 | − | 0.803202i | \(-0.296872\pi\) |
0.242990 | + | 0.970029i | \(0.421872\pi\) | |||||||
\(602\) | −7.08310 | − | 11.3027i | −0.288685 | − | 0.460662i | ||||
\(603\) | 0.444415 | − | 4.51223i | 0.0180980 | − | 0.183752i | ||||
\(604\) | −5.53372 | + | 11.4209i | −0.225164 | + | 0.464711i | ||||
\(605\) | 0.0804388 | − | 0.265171i | 0.00327030 | − | 0.0107807i | ||||
\(606\) | −2.20125 | − | 1.91694i | −0.0894196 | − | 0.0778702i | ||||
\(607\) | −19.7502 | + | 19.7502i | −0.801636 | + | 0.801636i | −0.983351 | − | 0.181715i | \(-0.941835\pi\) |
0.181715 | + | 0.983351i | \(0.441835\pi\) | |||||||
\(608\) | 25.1228 | + | 22.7227i | 1.01886 | + | 0.921526i | ||||
\(609\) | −10.1277 | − | 10.1277i | −0.410394 | − | 0.410394i | ||||
\(610\) | −0.179553 | − | 2.60077i | −0.00726991 | − | 0.105302i | ||||
\(611\) | −19.0380 | − | 5.77511i | −0.770194 | − | 0.233636i | ||||
\(612\) | −5.25256 | − | 5.90598i | −0.212322 | − | 0.238735i | ||||
\(613\) | −24.3473 | − | 2.39800i | −0.983377 | − | 0.0968541i | −0.406470 | − | 0.913664i | \(-0.633240\pi\) |
−0.576907 | + | 0.816810i | \(0.695740\pi\) | |||||||
\(614\) | −29.8106 | − | 6.84160i | −1.20306 | − | 0.276104i | ||||
\(615\) | −8.08979 | + | 40.6701i | −0.326212 | + | 1.63998i | ||||
\(616\) | 17.6297 | − | 14.7790i | 0.710322 | − | 0.595461i | ||||
\(617\) | 32.0204 | − | 6.36925i | 1.28909 | − | 0.256417i | 0.497499 | − | 0.867464i | \(-0.334252\pi\) |
0.791594 | + | 0.611048i | \(0.209252\pi\) | |||||||
\(618\) | −7.62739 | + | 7.19381i | −0.306819 | + | 0.289378i | ||||
\(619\) | 2.50042 | + | 1.33650i | 0.100500 | + | 0.0537185i | 0.520881 | − | 0.853629i | \(-0.325603\pi\) |
−0.420381 | + | 0.907348i | \(0.638103\pi\) | |||||||
\(620\) | −13.6024 | + | 14.7273i | −0.546287 | + | 0.591461i | ||||
\(621\) | −1.09709 | + | 0.108054i | −0.0440248 | + | 0.00433607i | ||||
\(622\) | 33.9633 | + | 4.35120i | 1.36181 | + | 0.174467i | ||||
\(623\) | −22.9155 | + | 9.49193i | −0.918092 | + | 0.380286i | ||||
\(624\) | −2.21740 | − | 27.8800i | −0.0887672 | − | 1.11609i | ||||
\(625\) | −21.6802 | − | 8.98024i | −0.867209 | − | 0.359210i | ||||
\(626\) | −13.2429 | − | 7.58450i | −0.529294 | − | 0.303137i | ||||
\(627\) | −12.5583 | + | 15.3023i | −0.501528 | + | 0.611114i | ||||
\(628\) | −4.66006 | + | 3.38867i | −0.185956 | + | 0.135223i | ||||
\(629\) | −2.05108 | − | 6.76149i | −0.0817817 | − | 0.269598i | ||||
\(630\) | 12.2518 | + | 5.49993i | 0.488124 | + | 0.219123i | ||||
\(631\) | 14.7194 | − | 22.0292i | 0.585972 | − | 0.876969i | −0.413465 | − | 0.910520i | \(-0.635682\pi\) |
0.999437 | + | 0.0335513i | \(0.0106817\pi\) | |||||||
\(632\) | −22.1074 | − | 14.4402i | −0.879387 | − | 0.574402i | ||||
\(633\) | 0.907121 | − | 0.606119i | 0.0360548 | − | 0.0240911i | ||||
\(634\) | −10.4583 | + | 14.7023i | −0.415352 | + | 0.583903i | ||||
\(635\) | −33.3172 | + | 27.3428i | −1.32215 | + | 1.08506i | ||||
\(636\) | −12.2566 | + | 1.70046i | −0.486006 | + | 0.0674275i | ||||
\(637\) | 3.11992 | + | 5.83696i | 0.123616 | + | 0.231269i | ||||
\(638\) | −12.1219 | − | 24.3667i | −0.479910 | − | 0.964685i | ||||
\(639\) | −3.16438 | −0.125181 | ||||||||
\(640\) | 31.1347 | − | 30.6178i | 1.23071 | − | 1.21028i | ||||
\(641\) | 5.16639 | 0.204060 | 0.102030 | − | 0.994781i | \(-0.467466\pi\) | ||||
0.102030 | + | 0.994781i | \(0.467466\pi\) | |||||||
\(642\) | 8.38089 | + | 16.8467i | 0.330767 | + | 0.664888i | ||||
\(643\) | −22.5356 | − | 42.1612i | −0.888718 | − | 1.66267i | −0.738746 | − | 0.673984i | \(-0.764582\pi\) |
−0.149972 | − | 0.988690i | \(-0.547918\pi\) | |||||||
\(644\) | 0.745464 | + | 5.37317i | 0.0293754 | + | 0.211733i | ||||
\(645\) | 11.4375 | − | 9.38655i | 0.450353 | − | 0.369595i | ||||
\(646\) | 19.3990 | − | 27.2712i | 0.763244 | − | 1.07297i | ||||
\(647\) | 1.87949 | − | 1.25584i | 0.0738905 | − | 0.0493720i | −0.518076 | − | 0.855334i | \(-0.673352\pi\) |
0.591967 | + | 0.805962i | \(0.298352\pi\) | |||||||
\(648\) | 2.76817 | − | 0.580723i | 0.108744 | − | 0.0228130i | ||||
\(649\) | 26.8147 | − | 40.1310i | 1.05257 | − | 1.57528i | ||||
\(650\) | 89.2808 | + | 40.0788i | 3.50188 | + | 1.57202i | ||||
\(651\) | 1.85487 | + | 6.11469i | 0.0726981 | + | 0.239653i | ||||
\(652\) | 27.8798 | + | 38.3399i | 1.09186 | + | 1.50151i | ||||
\(653\) | 10.7906 | − | 13.1484i | 0.422269 | − | 0.514536i | −0.517809 | − | 0.855496i | \(-0.673252\pi\) |
0.940078 | + | 0.340960i | \(0.110752\pi\) | |||||||
\(654\) | −5.15075 | − | 2.94994i | −0.201410 | − | 0.115352i | ||||
\(655\) | 7.38484 | + | 3.05890i | 0.288550 | + | 0.119521i | ||||
\(656\) | 38.2745 | − | 19.5417i | 1.49437 | − | 0.762975i | ||||
\(657\) | 4.46491 | − | 1.84943i | 0.174193 | − | 0.0721531i | ||||
\(658\) | −9.82007 | − | 1.25809i | −0.382826 | − | 0.0490456i | ||||
\(659\) | 18.7899 | − | 1.85065i | 0.731952 | − | 0.0720910i | 0.274827 | − | 0.961494i | \(-0.411379\pi\) |
0.457125 | + | 0.889403i | \(0.348879\pi\) | |||||||
\(660\) | 18.7460 | + | 17.3142i | 0.729685 | + | 0.673955i | ||||
\(661\) | −18.2178 | − | 9.73761i | −0.708590 | − | 0.378749i | 0.0773905 | − | 0.997001i | \(-0.475341\pi\) |
−0.785980 | + | 0.618252i | \(0.787841\pi\) | |||||||
\(662\) | 14.5648 | − | 13.7369i | 0.566078 | − | 0.533899i | ||||
\(663\) | −27.1007 | + | 5.39067i | −1.05251 | + | 0.209356i | ||||
\(664\) | −20.3410 | − | 1.78925i | −0.789384 | − | 0.0694365i | ||||
\(665\) | −11.0939 | + | 55.7726i | −0.430202 | + | 2.16277i | ||||
\(666\) | 2.46445 | + | 0.565597i | 0.0954956 | + | 0.0219164i | ||||
\(667\) | 6.38657 | + | 0.629022i | 0.247289 | + | 0.0243558i | ||||
\(668\) | 4.16174 | − | 3.70129i | 0.161022 | − | 0.143207i | ||||
\(669\) | −22.9864 | − | 6.97285i | −0.888706 | − | 0.269586i | ||||
\(670\) | −1.70455 | − | 24.6899i | −0.0658527 | − | 0.953855i | ||||
\(671\) | −1.11642 | − | 1.11642i | −0.0430991 | − | 0.0430991i | ||||
\(672\) | −3.39574 | − | 13.4974i | −0.130994 | − | 0.520672i | ||||
\(673\) | −20.7520 | + | 20.7520i | −0.799932 | + | 0.799932i | −0.983084 | − | 0.183153i | \(-0.941370\pi\) |
0.183153 | + | 0.983084i | \(0.441370\pi\) | |||||||
\(674\) | −24.3104 | − | 21.1705i | −0.936401 | − | 0.815455i | ||||
\(675\) | −2.87297 | + | 9.47090i | −0.110580 | + | 0.364535i | ||||
\(676\) | −64.5935 | − | 31.2971i | −2.48437 | − | 1.20373i | ||||
\(677\) | −0.679573 | + | 6.89982i | −0.0261181 | + | 0.265182i | 0.973253 | + | 0.229734i | \(0.0737857\pi\) |
−0.999372 | + | 0.0354476i | \(0.988714\pi\) | |||||||
\(678\) | 12.8987 | + | 20.5827i | 0.495370 | + | 0.790473i | ||||
\(679\) | 27.6846 | + | 5.50681i | 1.06244 | + | 0.211332i | ||||
\(680\) | −33.6331 | − | 27.0195i | −1.28977 | − | 1.03615i | ||||
\(681\) | 1.79009 | + | 8.99939i | 0.0685964 | + | 0.344858i | ||||
\(682\) | −0.355041 | + | 12.1365i | −0.0135952 | + | 0.464730i | ||||
\(683\) | 13.4658 | − | 25.1928i | 0.515256 | − | 0.963976i | −0.480933 | − | 0.876757i | \(-0.659702\pi\) |
0.996189 | − | 0.0872189i | \(-0.0277980\pi\) | |||||||
\(684\) | 5.01853 | + | 10.8742i | 0.191888 | + | 0.415786i | ||||
\(685\) | 4.36755 | + | 44.3445i | 0.166876 | + | 1.69432i | ||||
\(686\) | 16.9085 | + | 21.8775i | 0.645569 | + | 0.835289i | ||||
\(687\) | 5.12847 | + | 12.3812i | 0.195663 | + | 0.472373i | ||||
\(688\) | −14.9805 | − | 3.27384i | −0.571126 | − | 0.124814i | ||||
\(689\) | −16.5547 | + | 39.9666i | −0.630684 | + | 1.52261i | ||||
\(690\) | −5.80686 | + | 1.57762i | −0.221063 | + | 0.0600589i | ||||
\(691\) | 14.0454 | + | 11.5268i | 0.534312 | + | 0.438499i | 0.862458 | − | 0.506128i | \(-0.168924\pi\) |
−0.328146 | + | 0.944627i | \(0.606424\pi\) | |||||||
\(692\) | 9.24467 | + | 5.65988i | 0.351430 | + | 0.215156i | ||||
\(693\) | 7.78323 | − | 2.36102i | 0.295660 | − | 0.0896876i | ||||
\(694\) | −3.39558 | − | 8.92749i | −0.128894 | − | 0.338883i | ||||
\(695\) | −7.62885 | − | 5.09744i | −0.289379 | − | 0.193357i | ||||
\(696\) | −16.4644 | + | 0.171857i | −0.624081 | + | 0.00651423i | ||||
\(697\) | −23.5883 | − | 35.3023i | −0.893469 | − | 1.33717i | ||||
\(698\) | 5.13446 | + | 30.4396i | 0.194342 | + | 1.15216i | ||||
\(699\) | −7.49104 | − | 9.12786i | −0.283337 | − | 0.345247i | ||||
\(700\) | 47.1280 | + | 12.2771i | 1.78127 | + | 0.464030i | ||||
\(701\) | 1.59344 | − | 0.851710i | 0.0601833 | − | 0.0321686i | −0.441031 | − | 0.897492i | \(-0.645387\pi\) |
0.501214 | + | 0.865323i | \(0.332887\pi\) | |||||||
\(702\) | 3.14586 | − | 9.37442i | 0.118733 | − | 0.353815i | ||||
\(703\) | 10.7065i | 0.403804i | ||||||||
\(704\) | 2.04224 | − | 26.3673i | 0.0769699 | − | 0.993755i | ||||
\(705\) | − | 10.9821i | − | 0.413609i | ||||||
\(706\) | 12.3665 | + | 4.14993i | 0.465419 | + | 0.156185i | ||||
\(707\) | −4.47856 | + | 2.39384i | −0.168434 | + | 0.0900297i | ||||
\(708\) | −14.7758 | − | 25.1861i | −0.555309 | − | 0.946551i | ||||
\(709\) | −4.30893 | − | 5.25044i | −0.161825 | − | 0.197184i | 0.685785 | − | 0.727804i | \(-0.259459\pi\) |
−0.847610 | + | 0.530620i | \(0.821959\pi\) | |||||||
\(710\) | −17.0318 | + | 2.87288i | −0.639193 | + | 0.107817i | ||||
\(711\) | −5.18670 | − | 7.76245i | −0.194516 | − | 0.291114i | ||||
\(712\) | −10.6363 | + | 26.4560i | −0.398612 | + | 0.991481i | ||||
\(713\) | −2.38054 | − | 1.59062i | −0.0891519 | − | 0.0595694i | ||||
\(714\) | −12.8523 | + | 4.88839i | −0.480986 | + | 0.182943i | ||||
\(715\) | 85.3712 | − | 25.8971i | 3.19270 | − | 0.968495i | ||||
\(716\) | −35.8916 | + | 8.63251i | −1.34133 | + | 0.322612i | ||||
\(717\) | −2.07935 | − | 1.70647i | −0.0776546 | − | 0.0637295i | ||||
\(718\) | 10.4508 | + | 38.4671i | 0.390020 | + | 1.43558i | ||||
\(719\) | 16.4978 | − | 39.8292i | 0.615264 | − | 1.48538i | −0.241882 | − | 0.970306i | \(-0.577765\pi\) |
0.857146 | − | 0.515073i | \(-0.172235\pi\) | |||||||
\(720\) | 14.3721 | − | 5.63883i | 0.535616 | − | 0.210147i | ||||
\(721\) | 6.98039 | + | 16.8521i | 0.259963 | + | 0.627607i | ||||
\(722\) | −18.8642 | + | 14.5795i | −0.702052 | + | 0.542594i | ||||
\(723\) | −0.0216301 | − | 0.219614i | −0.000804431 | − | 0.00816752i | ||||
\(724\) | 8.39362 | − | 22.7809i | 0.311946 | − | 0.846645i | ||||
\(725\) | 27.1592 | − | 50.8113i | 1.00867 | − | 1.88708i | ||||
\(726\) | −0.101489 | − | 0.00296897i | −0.00376662 | − | 0.000110189i | ||||
\(727\) | −3.63264 | − | 18.2625i | −0.134727 | − | 0.677318i | −0.987825 | − | 0.155568i | \(-0.950279\pi\) |
0.853098 | − | 0.521750i | \(-0.174721\pi\) | |||||||
\(728\) | −46.7069 | − | 13.6377i | −1.73107 | − | 0.505446i | ||||
\(729\) | 0.980785 | + | 0.195090i | 0.0363254 | + | 0.00722557i | ||||
\(730\) | 22.3527 | − | 14.0079i | 0.827312 | − | 0.518456i | ||||
\(731\) | −1.48493 | + | 15.0767i | −0.0549220 | + | 0.557632i | ||||
\(732\) | −0.902361 | + | 0.313330i | −0.0333522 | + | 0.0115810i | ||||
\(733\) | 13.0686 | − | 43.0814i | 0.482700 | − | 1.59125i | −0.290362 | − | 0.956917i | \(-0.593776\pi\) |
0.773062 | − | 0.634331i | \(-0.218724\pi\) | |||||||
\(734\) | −26.3814 | + | 30.2942i | −0.973756 | + | 1.11818i | ||||
\(735\) | −2.58339 | + | 2.58339i | −0.0952899 | + | 0.0952899i | ||||
\(736\) | 5.01274 | + | 3.70968i | 0.184772 | + | 0.136740i | ||||
\(737\) | −10.5986 | − | 10.5986i | −0.390403 | − | 0.390403i | ||||
\(738\) | 15.1577 | − | 1.04647i | 0.557963 | − | 0.0385209i | ||||
\(739\) | 0.529674 | + | 0.160675i | 0.0194844 | + | 0.00591052i | 0.300012 | − | 0.953935i | \(-0.403009\pi\) |
−0.280527 | + | 0.959846i | \(0.590509\pi\) | |||||||
\(740\) | 13.7781 | + | 0.806819i | 0.506493 | + | 0.0296593i | ||||
\(741\) | 41.6679 | + | 4.10393i | 1.53071 | + | 0.150762i | ||||
\(742\) | −4.81543 | + | 20.9821i | −0.176780 | + | 0.770277i | ||||
\(743\) | −3.74382 | + | 18.8214i | −0.137347 | + | 0.690492i | 0.849338 | + | 0.527850i | \(0.177002\pi\) |
−0.986685 | + | 0.162642i | \(0.947998\pi\) | |||||||
\(744\) | 6.51413 | + | 3.39494i | 0.238819 | + | 0.124464i | ||||
\(745\) | −61.0954 | + | 12.1526i | −2.23836 | + | 0.445238i | ||||
\(746\) | −26.1692 | − | 27.7465i | −0.958123 | − | 1.01587i | ||||
\(747\) | −6.36694 | − | 3.40320i | −0.232954 | − | 0.124517i | ||||
\(748\) | −26.1077 | + | 1.03659i | −0.954590 | + | 0.0379013i | ||||
\(749\) | 32.5779 | − | 3.20864i | 1.19037 | − | 0.117241i | ||||
\(750\) | −3.39675 | + | 26.5134i | −0.124032 | + | 0.968133i | ||||
\(751\) | 2.90097 | − | 1.20162i | 0.105858 | − | 0.0438478i | −0.329126 | − | 0.944286i | \(-0.606754\pi\) |
0.434984 | + | 0.900438i | \(0.356754\pi\) | |||||||
\(752\) | −8.93214 | + | 7.05352i | −0.325722 | + | 0.257215i | ||||
\(753\) | 12.3514 | + | 5.11613i | 0.450111 | + | 0.186442i | ||||
\(754\) | −28.6077 | + | 49.9505i | −1.04183 | + | 1.81909i | ||||
\(755\) | −15.5372 | + | 18.9321i | −0.565456 | + | 0.689011i | ||||
\(756\) | 0.767764 | − | 4.86048i | 0.0279233 | − | 0.176774i | ||||
\(757\) | 6.27384 | + | 20.6821i | 0.228027 | + | 0.751703i | 0.994053 | + | 0.108894i | \(0.0347310\pi\) |
−0.766027 | + | 0.642809i | \(0.777769\pi\) | |||||||
\(758\) | −18.3985 | + | 40.9851i | −0.668264 | + | 1.48865i | ||||
\(759\) | −2.02467 | + | 3.03013i | −0.0734907 | + | 0.109987i | ||||
\(760\) | 36.8841 | + | 53.9728i | 1.33793 | + | 1.95780i | ||||
\(761\) | −30.2127 | + | 20.1875i | −1.09521 | + | 0.731795i | −0.965668 | − | 0.259779i | \(-0.916350\pi\) |
−0.129540 | + | 0.991574i | \(0.541350\pi\) | |||||||
\(762\) | 12.8687 | + | 9.15401i | 0.466185 | + | 0.331615i | ||||
\(763\) | −7.98255 | + | 6.55111i | −0.288988 | + | 0.237166i | ||||
\(764\) | 18.1986 | + | 13.7642i | 0.658404 | + | 0.497970i | ||||
\(765\) | −7.19022 | − | 13.4520i | −0.259963 | − | 0.486357i | ||||
\(766\) | −1.47769 | + | 0.735119i | −0.0533911 | + | 0.0265609i | ||||
\(767\) | −102.085 | −3.68606 | ||||||||
\(768\) | −13.8171 | − | 8.06768i | −0.498582 | − | 0.291117i | ||||
\(769\) | 10.2358 | 0.369111 | 0.184555 | − | 0.982822i | \(-0.440916\pi\) | ||||
0.184555 | + | 0.982822i | \(0.440916\pi\) | |||||||
\(770\) | 39.7487 | − | 19.7741i | 1.43244 | − | 0.712609i | ||||
\(771\) | 6.41204 | + | 11.9961i | 0.230924 | + | 0.432028i | ||||
\(772\) | −15.8293 | − | 11.9722i | −0.569710 | − | 0.430889i | ||||
\(773\) | −20.0823 | + | 16.4811i | −0.722311 | + | 0.592785i | −0.922053 | − | 0.387063i | \(-0.873489\pi\) |
0.199742 | + | 0.979848i | \(0.435989\pi\) | |||||||
\(774\) | −4.41774 | − | 3.14250i | −0.158792 | − | 0.112955i | ||||
\(775\) | −21.3718 | + | 14.2802i | −0.767698 | + | 0.512960i | ||||
\(776\) | 26.7912 | − | 18.3086i | 0.961747 | − | 0.657242i | ||||
\(777\) | 2.44395 | − | 3.65762i | 0.0876761 | − | 0.131216i | ||||
\(778\) | 11.0911 | − | 24.7070i | 0.397636 | − | 0.885787i | ||||
\(779\) | 18.6755 | + | 61.5648i | 0.669118 | + | 2.20579i | ||||
\(780\) | 8.42130 | − | 53.3127i | 0.301531 | − | 1.90890i | ||||
\(781\) | −6.63623 | + | 8.08626i | −0.237463 | + | 0.289349i | ||||
\(782\) | 3.06198 | − | 5.34638i | 0.109496 | − | 0.191186i | ||||
\(783\) | −5.37823 | − | 2.22774i | −0.192202 | − | 0.0796128i | ||||
\(784\) | 3.76043 | + | 0.441923i | 0.134301 | + | 0.0157829i | ||||
\(785\) | −10.2731 | + | 4.25524i | −0.366661 | + | 0.151876i | ||||
\(786\) | 0.372181 | − | 2.90506i | 0.0132752 | − | 0.103620i | ||||
\(787\) | 10.2945 | − | 1.01392i | 0.366959 | − | 0.0361423i | 0.0871426 | − | 0.996196i | \(-0.472226\pi\) |
0.279816 | + | 0.960054i | \(0.409726\pi\) | |||||||
\(788\) | 6.52210 | − | 0.258955i | 0.232340 | − | 0.00922490i | ||||
\(789\) | 18.5035 | + | 9.89030i | 0.658740 | + | 0.352104i | ||||
\(790\) | −34.9641 | − | 37.0714i | −1.24397 | − | 1.31894i | ||||
\(791\) | 41.4471 | − | 8.24433i | 1.47369 | − | 0.293135i | ||||
\(792\) | 4.32133 | − | 8.29167i | 0.153552 | − | 0.294632i | ||||
\(793\) | −0.651489 | + | 3.27526i | −0.0231351 | + | 0.116308i | ||||
\(794\) | −10.2501 | + | 44.6625i | −0.363764 | + | 1.58501i | ||||
\(795\) | −23.7648 | − | 2.34063i | −0.842850 | − | 0.0830135i | ||||
\(796\) | 21.6935 | + | 1.27033i | 0.768905 | + | 0.0450256i | ||||
\(797\) | 1.02587 | + | 0.311194i | 0.0363382 | + | 0.0110231i | 0.308401 | − | 0.951256i | \(-0.400206\pi\) |
−0.272063 | + | 0.962279i | \(0.587706\pi\) | |||||||
\(798\) | 20.7864 | − | 1.43506i | 0.735830 | − | 0.0508006i | ||||
\(799\) | 7.95105 | + | 7.95105i | 0.281288 | + | 0.281288i | ||||
\(800\) | 47.9912 | − | 28.8323i | 1.69675 | − | 1.01938i | ||||
\(801\) | −7.12852 | + | 7.12852i | −0.251874 | + | 0.251874i | ||||
\(802\) | −29.5827 | + | 33.9703i | −1.04460 | + | 1.19953i | ||||
\(803\) | 4.63763 | − | 15.2882i | 0.163659 | − | 0.539510i | ||||
\(804\) | −8.56638 | + | 2.97453i | −0.302113 | + | 0.104904i | ||||
\(805\) | −1.02611 | + | 10.4182i | −0.0361655 | + | 0.367195i | ||||
\(806\) | 21.7607 | − | 13.6369i | 0.766489 | − | 0.480339i | ||||
\(807\) | −16.5838 | − | 3.29871i | −0.583776 | − | 0.116120i | ||||
\(808\) | −1.63624 | + | 5.60386i | −0.0575627 | + | 0.197143i | ||||
\(809\) | 2.22966 | + | 11.2093i | 0.0783906 | + | 0.394096i | 0.999982 | + | 0.00593574i | \(0.00188942\pi\) |
−0.921592 | + | 0.388161i | \(0.873111\pi\) | |||||||
\(810\) | 5.45607 | + | 0.159612i | 0.191707 | + | 0.00560819i | ||||
\(811\) | −0.326243 | + | 0.610357i | −0.0114559 | + | 0.0214325i | −0.887584 | − | 0.460646i | \(-0.847618\pi\) |
0.876128 | + | 0.482078i | \(0.160118\pi\) | |||||||
\(812\) | −9.90354 | + | 26.8789i | −0.347546 | + | 0.943266i | ||||
\(813\) | −0.669390 | − | 6.79643i | −0.0234765 | − | 0.238361i | ||||
\(814\) | 6.61370 | − | 5.11153i | 0.231810 | − | 0.179159i | ||||
\(815\) | 35.0093 | + | 84.5200i | 1.22632 | + | 2.96061i | ||||
\(816\) | −6.32289 | + | 14.4880i | −0.221345 | + | 0.507180i | ||||
\(817\) | 8.78483 | − | 21.2084i | 0.307342 | − | 0.741990i | ||||
\(818\) | −13.2444 | − | 48.7496i | −0.463079 | − | 1.70449i | ||||
\(819\) | −13.2980 | − | 10.9134i | −0.464671 | − | 0.381346i | ||||
\(820\) | 80.6343 | − | 19.3939i | 2.81587 | − | 0.677263i | ||||
\(821\) | 10.8369 | − | 3.28733i | 0.378209 | − | 0.114729i | −0.0954555 | − | 0.995434i | \(-0.530431\pi\) |
0.473665 | + | 0.880705i | \(0.342931\pi\) | |||||||
\(822\) | 15.2602 | − | 5.80424i | 0.532262 | − | 0.202446i | ||||
\(823\) | −42.3139 | − | 28.2732i | −1.47497 | − | 0.985543i | −0.994067 | − | 0.108768i | \(-0.965309\pi\) |
−0.480902 | − | 0.876774i | \(-0.659691\pi\) | |||||||
\(824\) | 19.4558 | + | 7.82196i | 0.677776 | + | 0.272491i | ||||
\(825\) | 18.1769 | + | 27.2036i | 0.632838 | + | 0.947109i | ||||
\(826\) | −50.0936 | + | 8.44963i | −1.74298 | + | 0.294000i | ||||
\(827\) | −2.13121 | − | 2.59689i | −0.0741096 | − | 0.0903028i | 0.734636 | − | 0.678462i | \(-0.237353\pi\) |
−0.808745 | + | 0.588159i | \(0.799853\pi\) | |||||||
\(828\) | 1.11566 | + | 1.90170i | 0.0387719 | + | 0.0660886i | ||||
\(829\) | −27.6079 | + | 14.7567i | −0.958862 | + | 0.512522i | −0.875089 | − | 0.483963i | \(-0.839197\pi\) |
−0.0837729 | + | 0.996485i | \(0.526697\pi\) | |||||||
\(830\) | −37.3589 | − | 12.5369i | −1.29675 | − | 0.435161i | ||||
\(831\) | 8.77305i | 0.304334i | ||||||||
\(832\) | −48.7700 | + | 27.3921i | −1.69080 | + | 0.949649i | ||||
\(833\) | − | 3.74077i | − | 0.129610i | ||||||
\(834\) | −1.06955 | + | 3.18717i | −0.0370354 | + | 0.110363i | ||||
\(835\) | 9.47913 | − | 5.06670i | 0.328039 | − | 0.175340i | ||||
\(836\) | 38.3127 | + | 9.98065i | 1.32507 | + | 0.345188i | ||||
\(837\) | 1.64758 | + | 2.00759i | 0.0569488 | + | 0.0693923i | ||||
\(838\) | −4.08206 | − | 24.2005i | −0.141012 | − | 0.835992i | ||||
\(839\) | −8.87562 | − | 13.2833i | −0.306420 | − | 0.458591i | 0.646018 | − | 0.763322i | \(-0.276433\pi\) |
−0.952438 | + | 0.304732i | \(0.901433\pi\) | |||||||
\(840\) | −0.280346 | − | 26.8579i | −0.00967285 | − | 0.926686i | ||||
\(841\) | 4.06436 | + | 2.71572i | 0.140150 | + | 0.0936454i | ||||
\(842\) | 2.39438 | + | 6.29519i | 0.0825158 | + | 0.216947i | ||||
\(843\) | −9.94541 | + | 3.01691i | −0.342538 | + | 0.103908i | ||||
\(844\) | −1.86091 | − | 1.13931i | −0.0640550 | − | 0.0392166i | ||||
\(845\) | −107.075 | − | 87.8738i | −3.68348 | − | 3.02295i | ||||
\(846\) | −3.88316 | + | 1.05498i | −0.133506 | + | 0.0362711i | ||||
\(847\) | −0.0675976 | + | 0.163195i | −0.00232268 | + | 0.00560745i | ||||
\(848\) | 13.3598 | + | 20.8321i | 0.458778 | + | 0.715379i | ||||
\(849\) | −3.75593 | − | 9.06761i | −0.128903 | − | 0.311200i | ||||
\(850\) | −33.8249 | − | 43.7653i | −1.16018 | − | 1.50114i | ||||
\(851\) | 0.193194 | + | 1.96153i | 0.00662261 | + | 0.0672405i | ||||
\(852\) | 2.65197 | + | 5.74632i | 0.0908550 | + | 0.196866i | ||||
\(853\) | 9.73030 | − | 18.2041i | 0.333159 | − | 0.623297i | −0.658442 | − | 0.752632i | \(-0.728784\pi\) |
0.991601 | + | 0.129335i | \(0.0412841\pi\) | |||||||
\(854\) | −0.0485943 | + | 1.66112i | −0.00166286 | + | 0.0568422i | ||||
\(855\) | 4.50902 | + | 22.6684i | 0.154205 | + | 0.775242i | ||||
\(856\) | 23.5689 | − | 29.3379i | 0.805568 | − | 1.00275i | ||||
\(857\) | −38.0243 | − | 7.56351i | −1.29889 | − | 0.258364i | −0.503251 | − | 0.864140i | \(-0.667863\pi\) |
−0.795635 | + | 0.605776i | \(0.792863\pi\) | |||||||
\(858\) | −17.3581 | − | 27.6987i | −0.592595 | − | 0.945617i | ||||
\(859\) | 5.06953 | − | 51.4718i | 0.172970 | − | 1.75620i | −0.381849 | − | 0.924225i | \(-0.624713\pi\) |
0.554820 | − | 0.831971i | \(-0.312787\pi\) | |||||||
\(860\) | −26.6309 | − | 12.9033i | −0.908106 | − | 0.439999i | ||||
\(861\) | 7.67319 | − | 25.2951i | 0.261502 | − | 0.862055i | ||||
\(862\) | 21.1377 | + | 18.4076i | 0.719953 | + | 0.626964i | ||||
\(863\) | 28.7375 | − | 28.7375i | 0.978236 | − | 0.978236i | −0.0215319 | − | 0.999768i | \(-0.506854\pi\) |
0.999768 | + | 0.0215319i | \(0.00685434\pi\) | |||||||
\(864\) | −3.37448 | − | 4.54014i | −0.114802 | − | 0.154459i | ||||
\(865\) | 14.7918 | + | 14.7918i | 0.502936 | + | 0.502936i | ||||
\(866\) | −0.394229 | − | 5.71029i | −0.0133965 | − | 0.194043i | ||||
\(867\) | −1.32299 | − | 0.401324i | −0.0449311 | − | 0.0136297i | ||||
\(868\) | 9.54939 | − | 8.49287i | 0.324127 | − | 0.288267i | ||||
\(869\) | −30.7136 | − | 3.02502i | −1.04189 | − | 0.102617i | ||||
\(870\) | −30.9701 | − | 7.10770i | −1.04999 | − | 0.240974i | ||||
\(871\) | −6.18478 | + | 31.0930i | −0.209563 | + | 1.05355i | ||||
\(872\) | −1.04022 | + | 11.8257i | −0.0352264 | + | 0.400469i | ||||
\(873\) | 11.2522 | − | 2.23820i | 0.380829 | − | 0.0757517i | ||||
\(874\) | −6.79161 | + | 6.40554i | −0.229730 | + | 0.216671i | ||||
\(875\) | 41.0125 | + | 21.9216i | 1.38648 | + | 0.741086i | ||||
\(876\) | −7.10036 | − | 6.55807i | −0.239899 | − | 0.221577i | ||||
\(877\) | 23.4015 | − | 2.30485i | 0.790212 | − | 0.0778291i | 0.305145 | − | 0.952306i | \(-0.401295\pi\) |
0.485067 | + | 0.874477i | \(0.338795\pi\) | |||||||
\(878\) | −56.3016 | − | 7.21305i | −1.90009 | − | 0.243429i | ||||
\(879\) | 12.7265 | − | 5.27149i | 0.429254 | − | 0.177803i | ||||
\(880\) | 15.7311 | − | 48.5521i | 0.530297 | − | 1.63669i | ||||
\(881\) | −11.6029 | − | 4.80610i | −0.390913 | − | 0.161922i | 0.178565 | − | 0.983928i | \(-0.442855\pi\) |
−0.569478 | + | 0.822007i | \(0.692855\pi\) | |||||||
\(882\) | 1.16164 | + | 0.665293i | 0.0391143 | + | 0.0224016i | ||||
\(883\) | −32.3215 | + | 39.3838i | −1.08770 | + | 1.32537i | −0.145866 | + | 0.989304i | \(0.546597\pi\) |
−0.941838 | + | 0.336067i | \(0.890903\pi\) | |||||||
\(884\) | 32.5015 | + | 44.6955i | 1.09314 | + | 1.50327i | ||||
\(885\) | −16.3581 | − | 53.9255i | −0.549872 | − | 1.81269i | ||||
\(886\) | 3.67329 | + | 1.64897i | 0.123407 | + | 0.0553982i | ||||
\(887\) | 11.3620 | − | 17.0044i | 0.381497 | − | 0.570951i | −0.590177 | − | 0.807274i | \(-0.700942\pi\) |
0.971675 | + | 0.236323i | \(0.0759422\pi\) | |||||||
\(888\) | −1.03830 | − | 4.94931i | −0.0348429 | − | 0.166088i | ||||
\(889\) | 22.8444 | − | 15.2642i | 0.766178 | − | 0.511944i | ||||
\(890\) | −31.8965 | + | 44.8401i | −1.06917 | + | 1.50305i | ||||
\(891\) | 2.55541 | − | 2.09717i | 0.0856093 | − | 0.0702577i | ||||
\(892\) | 6.60195 | + | 47.5857i | 0.221050 | + | 1.59329i | ||||
\(893\) | −8.03188 | − | 15.0266i | −0.268776 | − | 0.502845i | ||||
\(894\) | 10.1661 | + | 20.4353i | 0.340006 | + | 0.683459i | ||||
\(895\) | −71.2402 | −2.38130 | ||||||||
\(896\) | −21.6645 | + | 17.4782i | −0.723760 | + | 0.583906i | ||||
\(897\) | 7.70800 | 0.257363 | ||||||||
\(898\) | −17.4554 | − | 35.0877i | −0.582493 | − | 1.17089i | ||||
\(899\) | −7.12688 | − | 13.3335i | −0.237695 | − | 0.444696i | ||||
\(900\) | 19.6063 | − | 2.72015i | 0.653544 | − | 0.0906716i | ||||
\(901\) | 18.9004 | − | 15.5111i | 0.629663 | − | 0.516751i | ||||
\(902\) | 29.1141 | − | 40.9287i | 0.969394 | − | 1.36278i | ||||
\(903\) | −7.84231 | + | 5.24007i | −0.260976 | + | 0.174379i | ||||
\(904\) | 26.5669 | − | 40.6729i | 0.883603 | − | 1.35276i | ||||
\(905\) | 26.0299 | − | 38.9565i | 0.865263 | − | 1.29496i | ||||
\(906\) | 8.18679 | + | 3.67511i | 0.271988 | + | 0.122097i | ||||
\(907\) | −2.66744 | − | 8.79338i | −0.0885709 | − | 0.291979i | 0.901453 | − | 0.432876i | \(-0.142501\pi\) |
−0.990024 | + | 0.140897i | \(0.955001\pi\) | |||||||
\(908\) | 14.8421 | − | 10.7928i | 0.492554 | − | 0.358172i | ||||
\(909\) | −1.30938 | + | 1.59549i | −0.0434295 | + | 0.0529190i | ||||
\(910\) | −81.4830 | − | 46.6670i | −2.70114 | − | 1.54700i | ||||
\(911\) | 7.61469 | + | 3.15411i | 0.252286 | + | 0.104500i | 0.505243 | − | 0.862977i | \(-0.331403\pi\) |
−0.252957 | + | 0.967478i | \(0.581403\pi\) | |||||||
\(912\) | 15.5410 | − | 18.2267i | 0.514615 | − | 0.603547i | ||||
\(913\) | −22.0491 | + | 9.13304i | −0.729719 | + | 0.302259i | ||||
\(914\) | −20.4594 | − | 2.62115i | −0.676737 | − | 0.0866999i | ||||
\(915\) | −1.83453 | + | 0.180685i | −0.0606476 | + | 0.00597326i | ||||
\(916\) | 18.1855 | − | 19.6893i | 0.600866 | − | 0.650553i | ||||
\(917\) | −4.49372 | − | 2.40194i | −0.148396 | − | 0.0793191i | ||||
\(918\) | −4.06577 | + | 3.83465i | −0.134190 | + | 0.126562i | ||||
\(919\) | 12.1771 | − | 2.42217i | 0.401685 | − | 0.0799001i | 0.00988643 | − | 0.999951i | \(-0.496853\pi\) |
0.391799 | + | 0.920051i | \(0.371853\pi\) | |||||||
\(920\) | 7.73142 | + | 9.22275i | 0.254897 | + | 0.304065i | ||||
\(921\) | −4.21928 | + | 21.2118i | −0.139030 | + | 0.698951i | ||||
\(922\) | −0.740293 | − | 0.169899i | −0.0243803 | − | 0.00559531i | ||||
\(923\) | 22.0188 | + | 2.16866i | 0.724757 | + | 0.0713824i | ||||
\(924\) | −10.8104 | − | 12.1552i | −0.355635 | − | 0.399876i | ||||
\(925\) | 16.9334 | + | 5.13668i | 0.556765 | + | 0.168893i | ||||
\(926\) | 1.57409 | + | 22.8001i | 0.0517277 | + | 0.749259i | ||||
\(927\) | 5.24233 | + | 5.24233i | 0.172181 | + | 0.172181i | ||||
\(928\) | 14.1104 | + | 29.7543i | 0.463196 | + | 0.976733i | ||||
\(929\) | 15.6586 | − | 15.6586i | 0.513741 | − | 0.513741i | −0.401930 | − | 0.915671i | \(-0.631660\pi\) |
0.915671 | + | 0.401930i | \(0.131660\pi\) | |||||||
\(930\) | 10.6905 | + | 9.30976i | 0.350557 | + | 0.305279i | ||||
\(931\) | −1.64542 | + | 5.42421i | −0.0539263 | + | 0.177771i | ||||
\(932\) | −10.2976 | + | 21.2531i | −0.337310 | + | 0.696167i | ||||
\(933\) | 2.37319 | − | 24.0954i | 0.0776947 | − | 0.788848i | ||||
\(934\) | −2.60649 | − | 4.15923i | −0.0852869 | − | 0.136094i | ||||
\(935\) | −49.4543 | − | 9.83707i | −1.61733 | − | 0.321707i | ||||
\(936\) | −19.6598 | + | 2.14374i | −0.642602 | + | 0.0700704i | ||||
\(937\) | −1.46447 | − | 7.36240i | −0.0478422 | − | 0.240519i | 0.949463 | − | 0.313878i | \(-0.101628\pi\) |
−0.997306 | + | 0.0733587i | \(0.976628\pi\) | |||||||
\(938\) | −0.461320 | + | 15.7695i | −0.0150626 | + | 0.514891i | ||||
\(939\) | −5.08693 | + | 9.51698i | −0.166006 | + | 0.310575i | ||||
\(940\) | −19.9428 | + | 9.20375i | −0.650462 | + | 0.300193i | ||||
\(941\) | 3.23200 | + | 32.8151i | 0.105360 | + | 1.06974i | 0.891910 | + | 0.452213i | \(0.149365\pi\) |
−0.786550 | + | 0.617527i | \(0.788135\pi\) | |||||||
\(942\) | 2.49148 | + | 3.22368i | 0.0811770 | + | 0.105033i | ||||
\(943\) | 4.53243 | + | 10.9423i | 0.147596 | + | 0.356329i | ||||
\(944\) | −33.3533 | + | 47.9397i | −1.08556 | + | 1.56030i | ||||
\(945\) | 3.63405 | − | 8.77336i | 0.118216 | − | 0.285398i | ||||
\(946\) | −17.2951 | + | 4.69876i | −0.562312 | + | 0.152770i | ||||
\(947\) | −29.1082 | − | 23.8885i | −0.945889 | − | 0.776271i | 0.0288582 | − | 0.999584i | \(-0.490813\pi\) |
−0.974747 | + | 0.223313i | \(0.928313\pi\) | |||||||
\(948\) | −9.74932 | + | 15.9242i | −0.316643 | + | 0.517194i | ||||
\(949\) | −32.3359 | + | 9.80897i | −1.04967 | + | 0.318413i | ||||
\(950\) | 29.7963 | + | 78.3390i | 0.966719 | + | 2.54165i | ||||
\(951\) | 10.6079 | + | 7.08797i | 0.343985 | + | 0.229843i | ||||
\(952\) | 19.6482 | + | 19.2422i | 0.636801 | + | 0.623644i | ||||
\(953\) | −24.1655 | − | 36.1662i | −0.782797 | − | 1.17154i | −0.981497 | − | 0.191478i | \(-0.938672\pi\) |
0.198700 | − | 0.980060i | \(-0.436328\pi\) | |||||||
\(954\) | 1.45532 | + | 8.62786i | 0.0471177 | + | 0.279337i | ||||
\(955\) | 27.9350 | + | 34.0389i | 0.903956 | + | 1.10147i | ||||
\(956\) | −1.35622 | + | 5.20611i | −0.0438632 | + | 0.168378i | ||||
\(957\) | −16.9718 | + | 9.07162i | −0.548621 | + | 0.293244i | ||||
\(958\) | 1.45516 | − | 4.33629i | 0.0470142 | − | 0.140099i | ||||
\(959\) | − | 28.4044i | − | 0.917227i | ||||||
\(960\) | −22.2846 | − | 21.3731i | −0.719232 | − | 0.689813i | ||||
\(961\) | − | 24.2551i | − | 0.782422i | ||||||
\(962\) | −16.7609 | − | 5.62459i | −0.540392 | − | 0.181344i | ||||
\(963\) | 11.7341 | − | 6.27198i | 0.378125 | − | 0.202112i | ||||
\(964\) | −0.380678 | + | 0.223331i | −0.0122608 | + | 0.00719300i | ||||
\(965\) | −24.2981 | − | 29.6074i | −0.782184 | − | 0.953094i | ||||
\(966\) | 3.78237 | − | 0.637997i | 0.121696 | − | 0.0205272i | ||||
\(967\) | −8.59168 | − | 12.8584i | −0.276290 | − | 0.413497i | 0.667210 | − | 0.744869i | \(-0.267488\pi\) |
−0.943500 | + | 0.331373i | \(0.892488\pi\) | |||||||
\(968\) | 0.0796637 | + | 0.186787i | 0.00256049 | + | 0.00600355i | ||||
\(969\) | −19.6765 | − | 13.1474i | −0.632101 | − | 0.422356i | ||||
\(970\) | 58.5315 | − | 22.2625i | 1.87933 | − | 0.714805i | ||||
\(971\) | −36.0408 | + | 10.9328i | −1.15660 | + | 0.350852i | −0.809583 | − | 0.587006i | \(-0.800307\pi\) |
−0.347020 | + | 0.937858i | \(0.612807\pi\) | |||||||
\(972\) | −0.467695 | − | 1.94455i | −0.0150013 | − | 0.0623714i | ||||
\(973\) | 4.52115 | + | 3.71041i | 0.144941 | + | 0.118950i | ||||
\(974\) | −5.20294 | − | 19.1509i | −0.166713 | − | 0.613633i | ||||
\(975\) | 26.4818 | − | 63.9327i | 0.848097 | − | 2.04749i | ||||
\(976\) | 1.32523 | + | 1.37604i | 0.0424196 | + | 0.0440460i | ||||
\(977\) | 15.1634 | + | 36.6078i | 0.485121 | + | 1.17119i | 0.957147 | + | 0.289602i | \(0.0935229\pi\) |
−0.472026 | + | 0.881585i | \(0.656477\pi\) | |||||||
\(978\) | 26.5224 | − | 20.4983i | 0.848091 | − | 0.655464i | ||||
\(979\) | 3.26656 | + | 33.1659i | 0.104400 | + | 1.05999i | ||||
\(980\) | 6.85636 | + | 2.52622i | 0.219018 | + | 0.0806972i | ||||
\(981\) | −1.97853 | + | 3.70156i | −0.0631695 | + | 0.118182i | ||||
\(982\) | 25.2944 | + | 0.739962i | 0.807176 | + | 0.0236131i | ||||
\(983\) | 2.08996 | + | 10.5069i | 0.0666593 | + | 0.335119i | 0.999696 | − | 0.0246626i | \(-0.00785115\pi\) |
−0.933036 | + | 0.359782i | \(0.882851\pi\) | |||||||
\(984\) | −14.6036 | − | 26.6485i | −0.465544 | − | 0.849523i | ||||
\(985\) | 12.3545 | + | 2.45746i | 0.393646 | + | 0.0783010i | ||||
\(986\) | 27.5684 | − | 17.2765i | 0.877958 | − | 0.550195i | ||||
\(987\) | −0.686178 | + | 6.96688i | −0.0218413 | + | 0.221758i | ||||
\(988\) | −27.4681 | − | 79.1058i | −0.873878 | − | 2.51669i | ||||
\(989\) | 1.22677 | − | 4.04410i | 0.0390089 | − | 0.128595i | ||||
\(990\) | 11.8502 | − | 13.6077i | 0.376623 | − | 0.432482i | ||||
\(991\) | 30.0178 | − | 30.0178i | 0.953547 | − | 0.953547i | −0.0454205 | − | 0.998968i | \(-0.514463\pi\) |
0.998968 | + | 0.0454205i | \(0.0144628\pi\) | |||||||
\(992\) | 0.705704 | − | 14.6745i | 0.0224061 | − | 0.465915i | ||||
\(993\) | −10.0104 | − | 10.0104i | −0.317672 | − | 0.317672i | ||||
\(994\) | 10.9843 | − | 0.758337i | 0.348400 | − | 0.0240530i | ||||
\(995\) | 40.1308 | + | 12.1735i | 1.27223 | + | 0.385927i | ||||
\(996\) | −0.844064 | + | 14.4141i | −0.0267452 | + | 0.456728i | ||||
\(997\) | −22.4162 | − | 2.20781i | −0.709929 | − | 0.0699219i | −0.263394 | − | 0.964688i | \(-0.584842\pi\) |
−0.446535 | + | 0.894766i | \(0.647342\pi\) | |||||||
\(998\) | −4.47304 | + | 19.4902i | −0.141592 | + | 0.616952i | ||||
\(999\) | 0.348809 | − | 1.75358i | 0.0110358 | − | 0.0554809i |
(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 | 384.2.v.a.37.5 | ✓ | 512 | |
128.45 | even | 32 | inner | 384.2.v.a.301.5 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.37.5 | ✓ | 512 | 1.1 | even | 1 | trivial | |
384.2.v.a.301.5 | yes | 512 | 128.45 | even | 32 | inner |