Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [64,2,Mod(5,64)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(64, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("64.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 64 = 2^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 64.i (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.511042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Character | \(\chi\) | \(=\) | 64.5 |
Dual form | 64.2.i.a.13.4 |
$q$-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 \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0973444 | + | 1.41086i | 0.0688329 | + | 0.997628i | ||||
\(3\) | 0.306211 | + | 0.204603i | 0.176791 | + | 0.118128i | 0.640817 | − | 0.767694i | \(-0.278596\pi\) |
−0.464026 | + | 0.885821i | \(0.653596\pi\) | |||||||
\(4\) | −1.98105 | + | 0.274678i | −0.990524 | + | 0.137339i | ||||
\(5\) | 1.42470 | + | 0.283390i | 0.637143 | + | 0.126736i | 0.503084 | − | 0.864238i | \(-0.332199\pi\) |
0.134059 | + | 0.990973i | \(0.457199\pi\) | |||||||
\(6\) | −0.258859 | + | 0.451937i | −0.105679 | + | 0.184503i | ||||
\(7\) | −0.666723 | + | 1.60961i | −0.251998 | + | 0.608376i | −0.998365 | − | 0.0571578i | \(-0.981796\pi\) |
0.746367 | + | 0.665534i | \(0.231796\pi\) | |||||||
\(8\) | −0.580376 | − | 2.76824i | −0.205194 | − | 0.978721i | ||||
\(9\) | −1.09615 | − | 2.64634i | −0.365383 | − | 0.882112i | ||||
\(10\) | −0.261137 | + | 2.03763i | −0.0825787 | + | 0.644356i | ||||
\(11\) | −1.65860 | − | 2.48226i | −0.500086 | − | 0.748431i | 0.492456 | − | 0.870337i | \(-0.336099\pi\) |
−0.992542 | + | 0.121906i | \(0.961099\pi\) | |||||||
\(12\) | −0.662818 | − | 0.321220i | −0.191339 | − | 0.0927282i | ||||
\(13\) | 5.03569 | − | 1.00166i | 1.39665 | − | 0.277811i | 0.561337 | − | 0.827587i | \(-0.310287\pi\) |
0.835312 | + | 0.549776i | \(0.185287\pi\) | |||||||
\(14\) | −2.33584 | − | 0.783966i | −0.624279 | − | 0.209524i | ||||
\(15\) | 0.378274 | + | 0.378274i | 0.0976700 | + | 0.0976700i | ||||
\(16\) | 3.84910 | − | 1.08830i | 0.962276 | − | 0.272076i | ||||
\(17\) | −1.55248 | + | 1.55248i | −0.376532 | + | 0.376532i | −0.869849 | − | 0.493317i | \(-0.835784\pi\) |
0.493317 | + | 0.869849i | \(0.335784\pi\) | |||||||
\(18\) | 3.62690 | − | 1.80412i | 0.854869 | − | 0.425234i | ||||
\(19\) | −0.0359002 | − | 0.180483i | −0.00823608 | − | 0.0414056i | 0.976449 | − | 0.215750i | \(-0.0692195\pi\) |
−0.984685 | + | 0.174344i | \(0.944220\pi\) | |||||||
\(20\) | −2.90023 | − | 0.170075i | −0.648511 | − | 0.0380300i | ||||
\(21\) | −0.533490 | + | 0.356467i | −0.116417 | + | 0.0777874i | ||||
\(22\) | 3.34067 | − | 2.58168i | 0.712233 | − | 0.550416i | ||||
\(23\) | −6.50946 | + | 2.69631i | −1.35732 | + | 0.562219i | −0.938320 | − | 0.345769i | \(-0.887618\pi\) |
−0.418997 | + | 0.907988i | \(0.637618\pi\) | |||||||
\(24\) | 0.388674 | − | 0.966412i | 0.0793378 | − | 0.197268i | ||||
\(25\) | −2.66995 | − | 1.10593i | −0.533990 | − | 0.221186i | ||||
\(26\) | 1.90340 | + | 7.00714i | 0.373287 | + | 1.37421i | ||||
\(27\) | 0.421339 | − | 2.11821i | 0.0810866 | − | 0.407650i | ||||
\(28\) | 0.878685 | − | 3.37185i | 0.166056 | − | 0.637221i | ||||
\(29\) | 0.0389072 | − | 0.0582287i | 0.00722489 | − | 0.0108128i | −0.827840 | − | 0.560965i | \(-0.810430\pi\) |
0.835064 | + | 0.550152i | \(0.185430\pi\) | |||||||
\(30\) | −0.496869 | + | 0.570515i | −0.0907155 | + | 0.104161i | ||||
\(31\) | 6.25272i | 1.12302i | 0.827469 | + | 0.561511i | \(0.189780\pi\) | ||||
−0.827469 | + | 0.561511i | \(0.810220\pi\) | |||||||
\(32\) | 1.91013 | + | 5.32460i | 0.337666 | + | 0.941266i | ||||
\(33\) | − | 1.09945i | − | 0.191390i | ||||||
\(34\) | −2.34146 | − | 2.03921i | −0.401557 | − | 0.349721i | ||||
\(35\) | −1.40602 | + | 2.10426i | −0.237662 | + | 0.355686i | ||||
\(36\) | 2.89841 | + | 4.94143i | 0.483069 | + | 0.823572i | ||||
\(37\) | −1.63291 | + | 8.20918i | −0.268448 | + | 1.34958i | 0.577532 | + | 0.816368i | \(0.304016\pi\) |
−0.845981 | + | 0.533213i | \(0.820984\pi\) | |||||||
\(38\) | 0.251141 | − | 0.0682192i | 0.0407405 | − | 0.0110666i | ||||
\(39\) | 1.74693 | + | 0.723600i | 0.279732 | + | 0.115869i | ||||
\(40\) | −0.0423689 | − | 4.10837i | −0.00669911 | − | 0.649591i | ||||
\(41\) | −6.98521 | + | 2.89337i | −1.09091 | + | 0.451868i | −0.854323 | − | 0.519743i | \(-0.826028\pi\) |
−0.236584 | + | 0.971611i | \(0.576028\pi\) | |||||||
\(42\) | −0.554857 | − | 0.717979i | −0.0856162 | − | 0.110787i | ||||
\(43\) | 9.23959 | − | 6.17369i | 1.40902 | − | 0.941480i | 0.409449 | − | 0.912333i | \(-0.365721\pi\) |
0.999575 | − | 0.0291463i | \(-0.00927887\pi\) | |||||||
\(44\) | 3.96758 | + | 4.46190i | 0.598136 | + | 0.672657i | ||||
\(45\) | −0.811733 | − | 4.08086i | −0.121006 | − | 0.608338i | ||||
\(46\) | −4.43777 | − | 8.92146i | −0.654313 | − | 1.31540i | ||||
\(47\) | 7.84283 | − | 7.84283i | 1.14399 | − | 1.14399i | 0.156281 | − | 0.987713i | \(-0.450049\pi\) |
0.987713 | − | 0.156281i | \(-0.0499507\pi\) | |||||||
\(48\) | 1.40131 | + | 0.454290i | 0.202261 | + | 0.0655711i | ||||
\(49\) | 2.80342 | + | 2.80342i | 0.400488 | + | 0.400488i | ||||
\(50\) | 1.30041 | − | 3.87458i | 0.183905 | − | 0.547948i | ||||
\(51\) | −0.793030 | + | 0.157743i | −0.111046 | + | 0.0220885i | ||||
\(52\) | −9.70081 | + | 3.36753i | −1.34526 | + | 0.466993i | ||||
\(53\) | −1.21975 | − | 1.82549i | −0.167546 | − | 0.250750i | 0.738190 | − | 0.674593i | \(-0.235681\pi\) |
−0.905736 | + | 0.423843i | \(0.860681\pi\) | |||||||
\(54\) | 3.02951 | + | 0.388253i | 0.412265 | + | 0.0528346i | ||||
\(55\) | −1.65955 | − | 4.00650i | −0.223773 | − | 0.540236i | ||||
\(56\) | 4.84275 | + | 0.911470i | 0.647139 | + | 0.121800i | ||||
\(57\) | 0.0259343 | − | 0.0626110i | 0.00343509 | − | 0.00829304i | ||||
\(58\) | 0.0859400 | + | 0.0492244i | 0.0112845 | + | 0.00646347i | ||||
\(59\) | −8.31975 | − | 1.65490i | −1.08314 | − | 0.215450i | −0.378918 | − | 0.925430i | \(-0.623704\pi\) |
−0.704221 | + | 0.709981i | \(0.748704\pi\) | |||||||
\(60\) | −0.853284 | − | 0.645476i | −0.110158 | − | 0.0833306i | ||||
\(61\) | −3.29205 | − | 2.19968i | −0.421504 | − | 0.281640i | 0.326675 | − | 0.945137i | \(-0.394072\pi\) |
−0.748179 | + | 0.663497i | \(0.769072\pi\) | |||||||
\(62\) | −8.82172 | + | 0.608668i | −1.12036 | + | 0.0773009i | ||||
\(63\) | 4.99040 | 0.628731 | ||||||||
\(64\) | −7.32633 | + | 3.21324i | −0.915791 | + | 0.401656i | ||||
\(65\) | 7.45818 | 0.925074 | ||||||||
\(66\) | 1.55117 | − | 0.107025i | 0.190936 | − | 0.0131739i | ||||
\(67\) | 13.1855 | + | 8.81029i | 1.61087 | + | 1.07635i | 0.943372 | + | 0.331736i | \(0.107634\pi\) |
0.667497 | + | 0.744612i | \(0.267366\pi\) | |||||||
\(68\) | 2.64911 | − | 3.50197i | 0.321252 | − | 0.424677i | ||||
\(69\) | −2.54494 | − | 0.506220i | −0.306375 | − | 0.0609417i | ||||
\(70\) | −3.10569 | − | 1.77886i | −0.371201 | − | 0.212615i | ||||
\(71\) | 1.13245 | − | 2.73397i | 0.134397 | − | 0.324462i | −0.842326 | − | 0.538968i | \(-0.818814\pi\) |
0.976723 | + | 0.214506i | \(0.0688142\pi\) | |||||||
\(72\) | −6.68952 | + | 4.57027i | −0.788367 | + | 0.538612i | ||||
\(73\) | −3.74820 | − | 9.04896i | −0.438694 | − | 1.05910i | −0.976400 | − | 0.215969i | \(-0.930709\pi\) |
0.537706 | − | 0.843132i | \(-0.319291\pi\) | |||||||
\(74\) | −11.7410 | − | 1.50469i | −1.36486 | − | 0.174916i | ||||
\(75\) | −0.591290 | − | 0.884929i | −0.0682763 | − | 0.102183i | ||||
\(76\) | 0.120695 | + | 0.347684i | 0.0138446 | + | 0.0398821i | ||||
\(77\) | 5.10131 | − | 1.01471i | 0.581348 | − | 0.115637i | ||||
\(78\) | −0.850845 | + | 2.53510i | −0.0963392 | + | 0.287044i | ||||
\(79\) | −1.58284 | − | 1.58284i | −0.178083 | − | 0.178083i | 0.612436 | − | 0.790520i | \(-0.290190\pi\) |
−0.790520 | + | 0.612436i | \(0.790190\pi\) | |||||||
\(80\) | 5.79221 | − | 0.459704i | 0.647589 | − | 0.0513964i | ||||
\(81\) | −5.51384 | + | 5.51384i | −0.612649 | + | 0.612649i | ||||
\(82\) | −4.76211 | − | 9.57349i | −0.525887 | − | 1.05722i | ||||
\(83\) | −1.12345 | − | 5.64796i | −0.123314 | − | 0.619944i | −0.992172 | − | 0.124881i | \(-0.960145\pi\) |
0.868857 | − | 0.495063i | \(-0.164855\pi\) | |||||||
\(84\) | 0.958956 | − | 0.852716i | 0.104631 | − | 0.0930389i | ||||
\(85\) | −2.65177 | + | 1.77186i | −0.287625 | + | 0.192185i | ||||
\(86\) | 9.60964 | + | 12.4348i | 1.03623 | + | 1.34088i | ||||
\(87\) | 0.0238276 | − | 0.00986972i | 0.00255459 | − | 0.00105814i | ||||
\(88\) | −5.90890 | + | 6.03204i | −0.629891 | + | 0.643018i | ||||
\(89\) | 14.5341 | + | 6.02023i | 1.54061 | + | 0.638143i | 0.981588 | − | 0.191009i | \(-0.0611759\pi\) |
0.559024 | + | 0.829151i | \(0.311176\pi\) | |||||||
\(90\) | 5.67850 | − | 1.54249i | 0.598566 | − | 0.162593i | ||||
\(91\) | −1.74513 | + | 8.77334i | −0.182939 | + | 0.919696i | ||||
\(92\) | 12.1549 | − | 7.12952i | 1.26724 | − | 0.743304i | ||||
\(93\) | −1.27933 | + | 1.91465i | −0.132660 | + | 0.198540i | ||||
\(94\) | 11.8286 | + | 10.3017i | 1.22003 | + | 1.06254i | ||||
\(95\) | − | 0.267307i | − | 0.0274251i | ||||||
\(96\) | −0.504530 | + | 2.02127i | −0.0514934 | + | 0.206295i | ||||
\(97\) | − | 5.25588i | − | 0.533654i | −0.963744 | − | 0.266827i | \(-0.914025\pi\) | ||
0.963744 | − | 0.266827i | \(-0.0859753\pi\) | |||||||
\(98\) | −3.68233 | + | 4.22812i | −0.371971 | + | 0.427105i | ||||
\(99\) | −4.75084 | + | 7.11013i | −0.477477 | + | 0.714595i | ||||
\(100\) | 5.59308 | + | 1.45752i | 0.559308 | + | 0.145752i | ||||
\(101\) | −0.994080 | + | 4.99758i | −0.0989146 | + | 0.497278i | 0.899288 | + | 0.437356i | \(0.144085\pi\) |
−0.998203 | + | 0.0599215i | \(0.980915\pi\) | |||||||
\(102\) | −0.299751 | − | 1.10350i | −0.0296797 | − | 0.109263i | ||||
\(103\) | 0.990660 | + | 0.410345i | 0.0976127 | + | 0.0404325i | 0.430955 | − | 0.902373i | \(-0.358177\pi\) |
−0.333343 | + | 0.942806i | \(0.608177\pi\) | |||||||
\(104\) | −5.69544 | − | 13.3587i | −0.558483 | − | 1.30993i | ||||
\(105\) | −0.861080 | + | 0.356671i | −0.0840328 | + | 0.0348075i | ||||
\(106\) | 2.45677 | − | 1.89860i | 0.238623 | − | 0.184409i | ||||
\(107\) | −3.35832 | + | 2.24396i | −0.324661 | + | 0.216932i | −0.707210 | − | 0.707004i | \(-0.750046\pi\) |
0.382549 | + | 0.923935i | \(0.375046\pi\) | |||||||
\(108\) | −0.252865 | + | 4.31201i | −0.0243319 | + | 0.414924i | ||||
\(109\) | 0.692578 | + | 3.48183i | 0.0663370 | + | 0.333498i | 0.999675 | − | 0.0255008i | \(-0.00811805\pi\) |
−0.933338 | + | 0.358999i | \(0.883118\pi\) | |||||||
\(110\) | 5.49106 | − | 2.73140i | 0.523552 | − | 0.260428i | ||||
\(111\) | −2.17964 | + | 2.17964i | −0.206882 | + | 0.206882i | ||||
\(112\) | −0.814542 | + | 6.92116i | −0.0769670 | + | 0.653988i | ||||
\(113\) | 5.12191 | + | 5.12191i | 0.481829 | + | 0.481829i | 0.905715 | − | 0.423886i | \(-0.139334\pi\) |
−0.423886 | + | 0.905715i | \(0.639334\pi\) | |||||||
\(114\) | 0.0908599 | + | 0.0304949i | 0.00850981 | + | 0.00285611i | ||||
\(115\) | −10.0381 | + | 1.99670i | −0.936058 | + | 0.186194i | ||||
\(116\) | −0.0610829 | + | 0.126041i | −0.00567140 | + | 0.0117026i | ||||
\(117\) | −8.17059 | − | 12.2282i | −0.755371 | − | 1.13049i | ||||
\(118\) | 1.52495 | − | 11.8991i | 0.140383 | − | 1.09540i | ||||
\(119\) | −1.46382 | − | 3.53397i | −0.134188 | − | 0.323958i | ||||
\(120\) | 0.827614 | − | 1.26670i | 0.0755504 | − | 0.115633i | ||||
\(121\) | 0.798822 | − | 1.92853i | 0.0726202 | − | 0.175321i | ||||
\(122\) | 2.78297 | − | 4.85874i | 0.251958 | − | 0.439890i | ||||
\(123\) | −2.73094 | − | 0.543217i | −0.246240 | − | 0.0489803i | ||||
\(124\) | −1.71749 | − | 12.3869i | −0.154235 | − | 1.11238i | ||||
\(125\) | −9.52945 | − | 6.36737i | −0.852340 | − | 0.569515i | ||||
\(126\) | 0.485787 | + | 7.04075i | 0.0432774 | + | 0.627240i | ||||
\(127\) | −2.94406 | −0.261243 | −0.130622 | − | 0.991432i | \(-0.541697\pi\) | ||||
−0.130622 | + | 0.991432i | \(0.541697\pi\) | |||||||
\(128\) | −5.24661 | − | 10.0236i | −0.463739 | − | 0.885972i | ||||
\(129\) | 4.09242 | 0.360317 | ||||||||
\(130\) | 0.726012 | + | 10.5224i | 0.0636755 | + | 0.922880i | ||||
\(131\) | −6.41752 | − | 4.28805i | −0.560701 | − | 0.374648i | 0.242687 | − | 0.970105i | \(-0.421971\pi\) |
−0.803388 | + | 0.595456i | \(0.796971\pi\) | |||||||
\(132\) | 0.301995 | + | 2.17806i | 0.0262853 | + | 0.189576i | ||||
\(133\) | 0.314443 | + | 0.0625465i | 0.0272656 | + | 0.00542347i | ||||
\(134\) | −11.1465 | + | 19.4606i | −0.962915 | + | 1.68114i | ||||
\(135\) | 1.20056 | − | 2.89840i | 0.103328 | − | 0.249455i | ||||
\(136\) | 5.19867 | + | 3.39662i | 0.445782 | + | 0.291258i | ||||
\(137\) | 1.69028 | + | 4.08071i | 0.144411 | + | 0.348638i | 0.979490 | − | 0.201491i | \(-0.0645786\pi\) |
−0.835080 | + | 0.550129i | \(0.814579\pi\) | |||||||
\(138\) | 0.466470 | − | 3.63983i | 0.0397085 | − | 0.309843i | ||||
\(139\) | 4.34787 | + | 6.50705i | 0.368782 | + | 0.551921i | 0.968730 | − | 0.248118i | \(-0.0798121\pi\) |
−0.599948 | + | 0.800039i | \(0.704812\pi\) | |||||||
\(140\) | 2.20741 | − | 4.55485i | 0.186560 | − | 0.384955i | ||||
\(141\) | 4.00623 | − | 0.796888i | 0.337385 | − | 0.0671101i | ||||
\(142\) | 3.96748 | + | 1.33159i | 0.332944 | + | 0.111744i | ||||
\(143\) | −10.8386 | − | 10.8386i | −0.906366 | − | 0.906366i | ||||
\(144\) | −7.09920 | − | 8.99308i | −0.591600 | − | 0.749423i | ||||
\(145\) | 0.0719323 | − | 0.0719323i | 0.00597365 | − | 0.00597365i | ||||
\(146\) | 12.4019 | − | 6.16905i | 1.02639 | − | 0.510554i | ||||
\(147\) | 0.284847 | + | 1.43202i | 0.0234938 | + | 0.118111i | ||||
\(148\) | 0.979984 | − | 16.7113i | 0.0805542 | − | 1.37366i | ||||
\(149\) | 10.7964 | − | 7.21395i | 0.884479 | − | 0.590990i | −0.0282295 | − | 0.999601i | \(-0.508987\pi\) |
0.912708 | + | 0.408612i | \(0.133987\pi\) | |||||||
\(150\) | 1.19095 | − | 0.920370i | 0.0972407 | − | 0.0751479i | ||||
\(151\) | −9.79563 | + | 4.05748i | −0.797157 | + | 0.330193i | −0.743817 | − | 0.668383i | \(-0.766987\pi\) |
−0.0533397 | + | 0.998576i | \(0.516987\pi\) | |||||||
\(152\) | −0.478784 | + | 0.204128i | −0.0388345 | + | 0.0165570i | ||||
\(153\) | 5.81014 | + | 2.40664i | 0.469722 | + | 0.194565i | ||||
\(154\) | 1.92820 | + | 7.09845i | 0.155379 | + | 0.572010i | ||||
\(155\) | −1.77196 | + | 8.90823i | −0.142327 | + | 0.715526i | ||||
\(156\) | −3.65950 | − | 0.953644i | −0.292995 | − | 0.0763526i | ||||
\(157\) | −4.31959 | + | 6.46472i | −0.344741 | + | 0.515941i | −0.962809 | − | 0.270184i | \(-0.912916\pi\) |
0.618068 | + | 0.786124i | \(0.287916\pi\) | |||||||
\(158\) | 2.07908 | − | 2.38724i | 0.165403 | − | 0.189919i | ||||
\(159\) | − | 0.808550i | − | 0.0641222i | ||||||
\(160\) | 1.21242 | + | 8.12725i | 0.0958499 | + | 0.642515i | ||||
\(161\) | − | 12.2754i | − | 0.967437i | ||||||
\(162\) | −8.31599 | − | 7.24251i | −0.653366 | − | 0.569025i | ||||
\(163\) | 0.437112 | − | 0.654184i | 0.0342372 | − | 0.0512396i | −0.813956 | − | 0.580926i | \(-0.802690\pi\) |
0.848193 | + | 0.529687i | \(0.177690\pi\) | |||||||
\(164\) | 13.0433 | − | 7.65059i | 1.01851 | − | 0.597410i | ||||
\(165\) | 0.311573 | − | 1.56638i | 0.0242559 | − | 0.121943i | ||||
\(166\) | 7.85911 | − | 2.13482i | 0.609985 | − | 0.165695i | ||||
\(167\) | 17.5845 | + | 7.28375i | 1.36073 | + | 0.563633i | 0.939259 | − | 0.343208i | \(-0.111514\pi\) |
0.421472 | + | 0.906841i | \(0.361514\pi\) | |||||||
\(168\) | 1.29641 | + | 1.26994i | 0.100020 | + | 0.0979784i | ||||
\(169\) | 12.3444 | − | 5.11322i | 0.949570 | − | 0.393325i | ||||
\(170\) | −2.75798 | − | 3.56879i | −0.211527 | − | 0.273714i | ||||
\(171\) | −0.438266 | + | 0.292840i | −0.0335150 | + | 0.0223940i | ||||
\(172\) | −16.6083 | + | 14.7683i | −1.26637 | + | 1.12607i | ||||
\(173\) | 0.285668 | + | 1.43615i | 0.0217189 | + | 0.109188i | 0.990124 | − | 0.140194i | \(-0.0447725\pi\) |
−0.968405 | + | 0.249382i | \(0.919773\pi\) | |||||||
\(174\) | 0.0162443 | + | 0.0326566i | 0.00123147 | + | 0.00247569i | ||||
\(175\) | 3.56024 | − | 3.56024i | 0.269129 | − | 0.269129i | ||||
\(176\) | −9.08556 | − | 7.74944i | −0.684850 | − | 0.584136i | ||||
\(177\) | −2.20900 | − | 2.20900i | −0.166038 | − | 0.166038i | ||||
\(178\) | −7.07888 | + | 21.0916i | −0.530584 | + | 1.58088i | ||||
\(179\) | 9.41568 | − | 1.87290i | 0.703761 | − | 0.139987i | 0.169778 | − | 0.985482i | \(-0.445695\pi\) |
0.533983 | + | 0.845496i | \(0.320695\pi\) | |||||||
\(180\) | 2.72901 | + | 7.86141i | 0.203408 | + | 0.585955i | ||||
\(181\) | 1.23999 | + | 1.85578i | 0.0921677 | + | 0.137939i | 0.874688 | − | 0.484686i | \(-0.161066\pi\) |
−0.782520 | + | 0.622625i | \(0.786066\pi\) | |||||||
\(182\) | −12.5478 | − | 1.60809i | −0.930107 | − | 0.119200i | ||||
\(183\) | −0.557999 | − | 1.34713i | −0.0412485 | − | 0.0995826i | ||||
\(184\) | 11.2420 | + | 16.4549i | 0.828769 | + | 1.21307i | ||||
\(185\) | −4.65279 | + | 11.2328i | −0.342080 | + | 0.825854i | ||||
\(186\) | −2.82584 | − | 1.61857i | −0.207201 | − | 0.118680i | ||||
\(187\) | 6.42861 | + | 1.27873i | 0.470107 | + | 0.0935100i | ||||
\(188\) | −13.3828 | + | 17.6913i | −0.976038 | + | 1.29027i | ||||
\(189\) | 3.12858 | + | 2.09045i | 0.227571 | + | 0.152058i | ||||
\(190\) | 0.377132 | − | 0.0260208i | 0.0273600 | − | 0.00188775i | ||||
\(191\) | −13.2544 | −0.959054 | −0.479527 | − | 0.877527i | \(-0.659192\pi\) | ||||
−0.479527 | + | 0.877527i | \(0.659192\pi\) | |||||||
\(192\) | −2.90084 | − | 0.515062i | −0.209350 | − | 0.0371714i | ||||
\(193\) | −9.34813 | −0.672893 | −0.336447 | − | 0.941703i | \(-0.609225\pi\) | ||||
−0.336447 | + | 0.941703i | \(0.609225\pi\) | |||||||
\(194\) | 7.41531 | − | 0.511631i | 0.532388 | − | 0.0367329i | ||||
\(195\) | 2.28378 | + | 1.52597i | 0.163545 | + | 0.109277i | ||||
\(196\) | −6.32374 | − | 4.78366i | −0.451696 | − | 0.341690i | ||||
\(197\) | 16.0043 | + | 3.18345i | 1.14026 | + | 0.226812i | 0.728873 | − | 0.684649i | \(-0.240045\pi\) |
0.411387 | + | 0.911461i | \(0.365045\pi\) | |||||||
\(198\) | −10.4939 | − | 6.01063i | −0.745766 | − | 0.427157i | ||||
\(199\) | 2.57784 | − | 6.22346i | 0.182738 | − | 0.441170i | −0.805791 | − | 0.592201i | \(-0.798259\pi\) |
0.988529 | + | 0.151031i | \(0.0482593\pi\) | |||||||
\(200\) | −1.51190 | + | 8.03292i | −0.106908 | + | 0.568014i | ||||
\(201\) | 2.23494 | + | 5.39561i | 0.157640 | + | 0.380577i | ||||
\(202\) | −7.14765 | − | 0.916021i | −0.502907 | − | 0.0644510i | ||||
\(203\) | 0.0677854 | + | 0.101448i | 0.00475760 | + | 0.00712025i | ||||
\(204\) | 1.52770 | − | 0.530325i | 0.106960 | − | 0.0371302i | ||||
\(205\) | −10.7717 | + | 2.14263i | −0.752331 | + | 0.149648i | ||||
\(206\) | −0.482504 | + | 1.43763i | −0.0336176 | + | 0.100164i | ||||
\(207\) | 14.2707 | + | 14.2707i | 0.991880 | + | 0.991880i | ||||
\(208\) | 18.2928 | − | 9.33585i | 1.26838 | − | 0.647325i | ||||
\(209\) | −0.388462 | + | 0.388462i | −0.0268705 | + | 0.0268705i | ||||
\(210\) | −0.587034 | − | 1.18014i | −0.0405092 | − | 0.0814376i | ||||
\(211\) | −4.14756 | − | 20.8512i | −0.285530 | − | 1.43546i | −0.811201 | − | 0.584768i | \(-0.801186\pi\) |
0.525671 | − | 0.850688i | \(-0.323814\pi\) | |||||||
\(212\) | 2.91781 | + | 3.28134i | 0.200396 | + | 0.225364i | ||||
\(213\) | 0.906147 | − | 0.605468i | 0.0620881 | − | 0.0414860i | ||||
\(214\) | −3.49282 | − | 4.51968i | −0.238765 | − | 0.308959i | ||||
\(215\) | 14.9132 | − | 6.17723i | 1.01707 | − | 0.421284i | ||||
\(216\) | −6.10826 | + | 0.0629934i | −0.415614 | + | 0.00428616i | ||||
\(217\) | −10.0645 | − | 4.16884i | −0.683220 | − | 0.282999i | ||||
\(218\) | −4.84495 | + | 1.31607i | −0.328141 | + | 0.0891353i | ||||
\(219\) | 0.703709 | − | 3.53778i | 0.0475522 | − | 0.239061i | ||||
\(220\) | 4.38814 | + | 7.48123i | 0.295848 | + | 0.504384i | ||||
\(221\) | −6.26276 | + | 9.37288i | −0.421279 | + | 0.630488i | ||||
\(222\) | −3.28734 | − | 2.86299i | −0.220632 | − | 0.192151i | ||||
\(223\) | 18.1448i | 1.21507i | 0.794294 | + | 0.607533i | \(0.207841\pi\) | ||||
−0.794294 | + | 0.607533i | \(0.792159\pi\) | |||||||
\(224\) | −9.84408 | − | 0.475468i | −0.657735 | − | 0.0317686i | ||||
\(225\) | 8.27785i | 0.551856i | ||||||||
\(226\) | −6.72771 | + | 7.72489i | −0.447521 | + | 0.513852i | ||||
\(227\) | 13.5289 | − | 20.2475i | 0.897946 | − | 1.34387i | −0.0407657 | − | 0.999169i | \(-0.512980\pi\) |
0.938712 | − | 0.344703i | \(-0.112020\pi\) | |||||||
\(228\) | −0.0341793 | + | 0.131159i | −0.00226358 | + | 0.00868622i | ||||
\(229\) | 3.24498 | − | 16.3136i | 0.214434 | − | 1.07803i | −0.712173 | − | 0.702004i | \(-0.752289\pi\) |
0.926607 | − | 0.376031i | \(-0.122711\pi\) | |||||||
\(230\) | −3.79422 | − | 13.9680i | −0.250183 | − | 0.921022i | ||||
\(231\) | 1.76969 | + | 0.733029i | 0.116437 | + | 0.0482298i | ||||
\(232\) | −0.183772 | − | 0.0739100i | −0.0120652 | − | 0.00485243i | ||||
\(233\) | −7.94074 | + | 3.28916i | −0.520215 | + | 0.215480i | −0.627311 | − | 0.778769i | \(-0.715845\pi\) |
0.107096 | + | 0.994249i | \(0.465845\pi\) | |||||||
\(234\) | 16.4568 | − | 12.7179i | 1.07582 | − | 0.831395i | ||||
\(235\) | 13.3962 | − | 8.95106i | 0.873873 | − | 0.583903i | ||||
\(236\) | 16.9364 | + | 0.993183i | 1.10246 | + | 0.0646507i | ||||
\(237\) | −0.160828 | − | 0.808537i | −0.0104469 | − | 0.0525201i | ||||
\(238\) | 4.84344 | − | 2.40925i | 0.313954 | − | 0.156169i | ||||
\(239\) | −10.9591 | + | 10.9591i | −0.708886 | + | 0.708886i | −0.966301 | − | 0.257415i | \(-0.917129\pi\) |
0.257415 | + | 0.966301i | \(0.417129\pi\) | |||||||
\(240\) | 1.86769 | + | 1.04434i | 0.120559 | + | 0.0674119i | ||||
\(241\) | −20.9147 | − | 20.9147i | −1.34723 | − | 1.34723i | −0.888651 | − | 0.458584i | \(-0.848357\pi\) |
−0.458584 | − | 0.888651i | \(-0.651643\pi\) | |||||||
\(242\) | 2.79864 | + | 0.939294i | 0.179903 | + | 0.0603801i | ||||
\(243\) | −9.17118 | + | 1.82426i | −0.588332 | + | 0.117026i | ||||
\(244\) | 7.12591 | + | 3.45341i | 0.456190 | + | 0.221082i | ||||
\(245\) | 3.19955 | + | 4.78847i | 0.204412 | + | 0.305924i | ||||
\(246\) | 0.500562 | − | 3.90585i | 0.0319147 | − | 0.249028i | ||||
\(247\) | −0.361565 | − | 0.872895i | −0.0230058 | − | 0.0555410i | ||||
\(248\) | 17.3091 | − | 3.62893i | 1.09913 | − | 0.230438i | ||||
\(249\) | 0.811579 | − | 1.95933i | 0.0514318 | − | 0.124167i | ||||
\(250\) | 8.05583 | − | 14.0645i | 0.509495 | − | 0.889520i | ||||
\(251\) | 5.57057 | + | 1.10806i | 0.351611 | + | 0.0699398i | 0.367736 | − | 0.929930i | \(-0.380133\pi\) |
−0.0161250 | + | 0.999870i | \(0.505133\pi\) | |||||||
\(252\) | −9.88622 | + | 1.37076i | −0.622774 | + | 0.0863495i | ||||
\(253\) | 17.4895 | + | 11.6861i | 1.09956 | + | 0.734700i | ||||
\(254\) | −0.286588 | − | 4.15365i | −0.0179821 | − | 0.260623i | ||||
\(255\) | −1.17453 | −0.0735518 | ||||||||
\(256\) | 13.6312 | − | 8.37798i | 0.851950 | − | 0.523624i | ||||
\(257\) | −18.3131 | −1.14234 | −0.571171 | − | 0.820831i | \(-0.693511\pi\) | ||||
−0.571171 | + | 0.820831i | \(0.693511\pi\) | |||||||
\(258\) | 0.398374 | + | 5.77383i | 0.0248017 | + | 0.359463i | ||||
\(259\) | −12.1249 | − | 8.10160i | −0.753405 | − | 0.503409i | ||||
\(260\) | −14.7750 | + | 2.04860i | −0.916308 | + | 0.127049i | ||||
\(261\) | −0.196741 | − | 0.0391342i | −0.0121780 | − | 0.00242235i | ||||
\(262\) | 5.42512 | − | 9.47163i | 0.335165 | − | 0.585159i | ||||
\(263\) | −5.81316 | + | 14.0342i | −0.358455 | + | 0.865387i | 0.637063 | + | 0.770812i | \(0.280149\pi\) |
−0.995518 | + | 0.0945749i | \(0.969851\pi\) | |||||||
\(264\) | −3.04354 | + | 0.638095i | −0.187317 | + | 0.0392720i | ||||
\(265\) | −1.22045 | − | 2.94643i | −0.0749718 | − | 0.180998i | ||||
\(266\) | −0.0576352 | + | 0.449723i | −0.00353384 | + | 0.0275743i | ||||
\(267\) | 3.21874 | + | 4.81719i | 0.196984 | + | 0.294807i | ||||
\(268\) | −28.5412 | − | 13.8318i | −1.74343 | − | 0.844914i | ||||
\(269\) | −13.7633 | + | 2.73769i | −0.839162 | + | 0.166920i | −0.595918 | − | 0.803045i | \(-0.703212\pi\) |
−0.243244 | + | 0.969965i | \(0.578212\pi\) | |||||||
\(270\) | 4.20611 | + | 1.41168i | 0.255976 | + | 0.0859118i | ||||
\(271\) | −17.1462 | − | 17.1462i | −1.04156 | − | 1.04156i | −0.999098 | − | 0.0424570i | \(-0.986481\pi\) |
−0.0424570 | − | 0.999098i | \(-0.513519\pi\) | |||||||
\(272\) | −4.28609 | + | 7.66523i | −0.259883 | + | 0.464773i | ||||
\(273\) | −2.32943 | + | 2.32943i | −0.140984 | + | 0.140984i | ||||
\(274\) | −5.59276 | + | 2.78199i | −0.337871 | + | 0.168066i | ||||
\(275\) | 1.68316 | + | 8.46181i | 0.101498 | + | 0.510267i | ||||
\(276\) | 5.18070 | + | 0.303806i | 0.311841 | + | 0.0182870i | ||||
\(277\) | −5.37310 | + | 3.59019i | −0.322838 | + | 0.215714i | −0.706419 | − | 0.707794i | \(-0.749691\pi\) |
0.383581 | + | 0.923507i | \(0.374691\pi\) | |||||||
\(278\) | −8.75729 | + | 6.76766i | −0.525228 | + | 0.405897i | ||||
\(279\) | 16.5468 | − | 6.85391i | 0.990631 | − | 0.410333i | ||||
\(280\) | 6.64114 | + | 2.67095i | 0.396884 | + | 0.159620i | ||||
\(281\) | 2.20599 | + | 0.913752i | 0.131598 | + | 0.0545099i | 0.447511 | − | 0.894279i | \(-0.352311\pi\) |
−0.315912 | + | 0.948788i | \(0.602311\pi\) | |||||||
\(282\) | 1.51428 | + | 5.57465i | 0.0901741 | + | 0.331966i | ||||
\(283\) | 1.14821 | − | 5.77245i | 0.0682541 | − | 0.343137i | −0.931535 | − | 0.363651i | \(-0.881530\pi\) |
0.999790 | + | 0.0205138i | \(0.00653021\pi\) | |||||||
\(284\) | −1.49247 | + | 5.72718i | −0.0885618 | + | 0.339846i | ||||
\(285\) | 0.0546919 | − | 0.0818521i | 0.00323967 | − | 0.00484850i | ||||
\(286\) | 14.2366 | − | 16.3468i | 0.841829 | − | 0.966604i | ||||
\(287\) | − | 13.1726i | − | 0.777551i | ||||||
\(288\) | 11.9969 | − | 10.8914i | 0.706924 | − | 0.641782i | ||||
\(289\) | 12.1796i | 0.716447i | ||||||||
\(290\) | 0.108489 | + | 0.0944842i | 0.00637067 | + | 0.00554830i | ||||
\(291\) | 1.07537 | − | 1.60941i | 0.0630394 | − | 0.0943452i | ||||
\(292\) | 9.91093 | + | 16.8969i | 0.579993 | + | 0.988815i | ||||
\(293\) | −0.402515 | + | 2.02358i | −0.0235152 | + | 0.118219i | −0.990760 | − | 0.135626i | \(-0.956695\pi\) |
0.967245 | + | 0.253845i | \(0.0816953\pi\) | |||||||
\(294\) | −1.99266 | + | 0.541279i | −0.116214 | + | 0.0315680i | ||||
\(295\) | −11.3841 | − | 4.71546i | −0.662809 | − | 0.274545i | ||||
\(296\) | 23.6727 | − | 0.244132i | 1.37595 | − | 0.0141899i | ||||
\(297\) | −5.95679 | + | 2.46738i | −0.345648 | + | 0.143172i | ||||
\(298\) | 11.2288 | + | 14.5300i | 0.650469 | + | 0.841702i | ||||
\(299\) | −30.0788 | + | 20.0980i | −1.73950 | + | 1.16230i | ||||
\(300\) | 1.41445 | + | 1.59067i | 0.0816630 | + | 0.0918375i | ||||
\(301\) | 3.77701 | + | 18.9883i | 0.217703 | + | 1.09447i | ||||
\(302\) | −6.67808 | − | 13.4253i | −0.384281 | − | 0.772538i | ||||
\(303\) | −1.32692 | + | 1.32692i | −0.0762295 | + | 0.0762295i | ||||
\(304\) | −0.334604 | − | 0.655626i | −0.0191908 | − | 0.0376027i | ||||
\(305\) | −4.06680 | − | 4.06680i | −0.232864 | − | 0.232864i | ||||
\(306\) | −2.82984 | + | 8.43156i | −0.161771 | + | 0.482000i | ||||
\(307\) | 19.1912 | − | 3.81736i | 1.09530 | − | 0.217868i | 0.385804 | − | 0.922581i | \(-0.373924\pi\) |
0.709493 | + | 0.704712i | \(0.248924\pi\) | |||||||
\(308\) | −9.82722 | + | 3.41142i | −0.559958 | + | 0.194383i | ||||
\(309\) | 0.219393 | + | 0.328344i | 0.0124808 | + | 0.0186789i | ||||
\(310\) | −12.7407 | − | 1.63282i | −0.723626 | − | 0.0927377i | ||||
\(311\) | 11.9287 | + | 28.7984i | 0.676414 | + | 1.63301i | 0.770497 | + | 0.637444i | \(0.220008\pi\) |
−0.0940829 | + | 0.995564i | \(0.529992\pi\) | |||||||
\(312\) | 0.989226 | − | 5.25587i | 0.0560039 | − | 0.297555i | ||||
\(313\) | 3.76527 | − | 9.09016i | 0.212825 | − | 0.513806i | −0.781030 | − | 0.624494i | \(-0.785305\pi\) |
0.993855 | + | 0.110688i | \(0.0353053\pi\) | |||||||
\(314\) | −9.54129 | − | 5.46502i | −0.538446 | − | 0.308409i | ||||
\(315\) | 7.10980 | + | 1.41423i | 0.400592 | + | 0.0796827i | ||||
\(316\) | 3.57045 | + | 2.70091i | 0.200854 | + | 0.151938i | ||||
\(317\) | −6.34804 | − | 4.24162i | −0.356541 | − | 0.238233i | 0.364380 | − | 0.931250i | \(-0.381281\pi\) |
−0.720921 | + | 0.693017i | \(0.756281\pi\) | |||||||
\(318\) | 1.14075 | − | 0.0787078i | 0.0639701 | − | 0.00441372i | ||||
\(319\) | −0.209070 | −0.0117057 | ||||||||
\(320\) | −11.3484 | + | 2.50169i | −0.634394 | + | 0.139849i | ||||
\(321\) | −1.48748 | −0.0830228 | ||||||||
\(322\) | 17.3189 | − | 1.19494i | 0.965143 | − | 0.0665915i | ||||
\(323\) | 0.335931 | + | 0.224462i | 0.0186917 | + | 0.0124894i | ||||
\(324\) | 9.40865 | − | 12.4377i | 0.522703 | − | 0.690984i | ||||
\(325\) | −14.5528 | − | 2.89473i | −0.807245 | − | 0.160571i | ||||
\(326\) | 0.965512 | + | 0.553022i | 0.0534747 | + | 0.0306290i | ||||
\(327\) | −0.500319 | + | 1.20788i | −0.0276677 | + | 0.0667957i | ||||
\(328\) | 12.0636 | + | 17.6575i | 0.666100 | + | 0.974972i | ||||
\(329\) | 7.39492 | + | 17.8529i | 0.407695 | + | 0.984263i | ||||
\(330\) | 2.24027 | + | 0.287107i | 0.123323 | + | 0.0158047i | ||||
\(331\) | −3.00110 | − | 4.49147i | −0.164956 | − | 0.246873i | 0.739778 | − | 0.672851i | \(-0.234930\pi\) |
−0.904734 | + | 0.425977i | \(0.859930\pi\) | |||||||
\(332\) | 3.77698 | + | 10.8803i | 0.207289 | + | 0.597133i | ||||
\(333\) | 23.5142 | − | 4.67726i | 1.28857 | − | 0.256312i | ||||
\(334\) | −8.56459 | + | 25.5183i | −0.468634 | + | 1.39630i | ||||
\(335\) | 16.2886 | + | 16.2886i | 0.889943 | + | 0.889943i | ||||
\(336\) | −1.66551 | + | 1.95268i | −0.0908613 | + | 0.106527i | ||||
\(337\) | 9.39328 | − | 9.39328i | 0.511684 | − | 0.511684i | −0.403358 | − | 0.915042i | \(-0.632157\pi\) |
0.915042 | + | 0.403358i | \(0.132157\pi\) | |||||||
\(338\) | 8.41570 | + | 16.9185i | 0.457754 | + | 0.920244i | ||||
\(339\) | 0.520424 | + | 2.61635i | 0.0282655 | + | 0.142100i | ||||
\(340\) | 4.76659 | − | 4.23852i | 0.258505 | − | 0.229866i | ||||
\(341\) | 15.5209 | − | 10.3707i | 0.840505 | − | 0.561607i | ||||
\(342\) | −0.455818 | − | 0.589825i | −0.0246478 | − | 0.0318941i | ||||
\(343\) | −17.6488 | + | 7.31037i | −0.952946 | + | 0.394723i | ||||
\(344\) | −22.4527 | − | 21.9943i | −1.21057 | − | 1.18586i | ||||
\(345\) | −3.48231 | − | 1.44242i | −0.187481 | − | 0.0776572i | ||||
\(346\) | −1.99839 | + | 0.542838i | −0.107434 | + | 0.0291831i | ||||
\(347\) | 2.30495 | − | 11.5878i | 0.123736 | − | 0.622064i | −0.868293 | − | 0.496052i | \(-0.834782\pi\) |
0.992029 | − | 0.126011i | \(-0.0402176\pi\) | |||||||
\(348\) | −0.0444926 | + | 0.0260973i | −0.00238506 | + | 0.00139896i | ||||
\(349\) | 14.7665 | − | 22.0997i | 0.790435 | − | 1.18297i | −0.189152 | − | 0.981948i | \(-0.560574\pi\) |
0.979587 | − | 0.201021i | \(-0.0644261\pi\) | |||||||
\(350\) | 5.36956 | + | 4.67642i | 0.287015 | + | 0.249965i | ||||
\(351\) | − | 11.0887i | − | 0.591871i | ||||||
\(352\) | 10.0489 | − | 13.5728i | 0.535610 | − | 0.723433i | ||||
\(353\) | − | 10.7979i | − | 0.574714i | −0.957824 | − | 0.287357i | \(-0.907223\pi\) | ||
0.957824 | − | 0.287357i | \(-0.0927766\pi\) | |||||||
\(354\) | 2.90155 | − | 3.33162i | 0.154216 | − | 0.177073i | ||||
\(355\) | 2.38817 | − | 3.57415i | 0.126751 | − | 0.189696i | ||||
\(356\) | −30.4464 | − | 7.93415i | −1.61366 | − | 0.420509i | ||||
\(357\) | 0.274826 | − | 1.38164i | 0.0145453 | − | 0.0731242i | ||||
\(358\) | 3.55895 | + | 13.1019i | 0.188097 | + | 0.692456i | ||||
\(359\) | −13.1862 | − | 5.46192i | −0.695943 | − | 0.288269i | 0.00653056 | − | 0.999979i | \(-0.497921\pi\) |
−0.702474 | + | 0.711710i | \(0.747921\pi\) | |||||||
\(360\) | −10.8257 | + | 4.61551i | −0.570564 | + | 0.243259i | ||||
\(361\) | 17.5224 | − | 7.25803i | 0.922233 | − | 0.382001i | ||||
\(362\) | −2.49753 | + | 1.93010i | −0.131267 | + | 0.101444i | ||||
\(363\) | 0.639191 | − | 0.427094i | 0.0335488 | − | 0.0224166i | ||||
\(364\) | 1.04733 | − | 17.8598i | 0.0548951 | − | 0.936106i | ||||
\(365\) | −2.77567 | − | 13.9542i | −0.145285 | − | 0.730397i | ||||
\(366\) | 1.84629 | − | 0.918394i | 0.0965072 | − | 0.0480052i | ||||
\(367\) | −17.9142 | + | 17.9142i | −0.935116 | + | 0.935116i | −0.998020 | − | 0.0629039i | \(-0.979964\pi\) |
0.0629039 | + | 0.998020i | \(0.479964\pi\) | |||||||
\(368\) | −22.1212 | + | 17.4626i | −1.15315 | + | 0.910302i | ||||
\(369\) | 15.3136 | + | 15.3136i | 0.797196 | + | 0.797196i | ||||
\(370\) | −16.3009 | − | 5.47098i | −0.847442 | − | 0.284423i | ||||
\(371\) | 3.75157 | − | 0.746234i | 0.194772 | − | 0.0387425i | ||||
\(372\) | 2.00850 | − | 4.14442i | 0.104136 | − | 0.214878i | ||||
\(373\) | 16.1231 | + | 24.1299i | 0.834820 | + | 1.24940i | 0.966130 | + | 0.258056i | \(0.0830818\pi\) |
−0.131310 | + | 0.991341i | \(0.541918\pi\) | |||||||
\(374\) | −1.17832 | + | 9.19434i | −0.0609294 | + | 0.475428i | ||||
\(375\) | −1.61523 | − | 3.89952i | −0.0834102 | − | 0.201370i | ||||
\(376\) | −26.2626 | − | 17.1591i | −1.35439 | − | 0.884911i | ||||
\(377\) | 0.137599 | − | 0.332194i | 0.00708672 | − | 0.0171088i | ||||
\(378\) | −2.64479 | + | 4.61749i | −0.136033 | + | 0.237498i | ||||
\(379\) | −5.13105 | − | 1.02063i | −0.263564 | − | 0.0524262i | 0.0615391 | − | 0.998105i | \(-0.480399\pi\) |
−0.325103 | + | 0.945678i | \(0.605399\pi\) | |||||||
\(380\) | 0.0734234 | + | 0.529547i | 0.00376654 | + | 0.0271652i | ||||
\(381\) | −0.901502 | − | 0.602365i | −0.0461854 | − | 0.0308601i | ||||
\(382\) | −1.29024 | − | 18.7001i | −0.0660144 | − | 0.956779i | ||||
\(383\) | 8.64365 | 0.441670 | 0.220835 | − | 0.975311i | \(-0.429122\pi\) | ||||
0.220835 | + | 0.975311i | \(0.429122\pi\) | |||||||
\(384\) | 0.444299 | − | 4.14282i | 0.0226730 | − | 0.211412i | ||||
\(385\) | 7.55537 | 0.385057 | ||||||||
\(386\) | −0.909988 | − | 13.1889i | −0.0463172 | − | 0.671297i | ||||
\(387\) | −26.4656 | − | 17.6838i | −1.34532 | − | 0.898916i | ||||
\(388\) | 1.44368 | + | 10.4122i | 0.0732916 | + | 0.528597i | ||||
\(389\) | −3.11633 | − | 0.619876i | −0.158004 | − | 0.0314290i | 0.115454 | − | 0.993313i | \(-0.463168\pi\) |
−0.273458 | + | 0.961884i | \(0.588168\pi\) | |||||||
\(390\) | −1.93062 | + | 3.37063i | −0.0977606 | + | 0.170679i | ||||
\(391\) | 5.91985 | − | 14.2918i | 0.299380 | − | 0.722767i | ||||
\(392\) | 6.13350 | − | 9.38757i | 0.309788 | − | 0.474144i | ||||
\(393\) | −1.08776 | − | 2.62609i | −0.0548704 | − | 0.132469i | ||||
\(394\) | −2.93348 | + | 22.8897i | −0.147786 | + | 1.15317i | ||||
\(395\) | −1.80650 | − | 2.70362i | −0.0908950 | − | 0.136034i | ||||
\(396\) | 7.45864 | − | 15.3905i | 0.374811 | − | 0.773400i | ||||
\(397\) | −19.5057 | + | 3.87993i | −0.978963 | + | 0.194728i | −0.658539 | − | 0.752546i | \(-0.728825\pi\) |
−0.320424 | + | 0.947274i | \(0.603825\pi\) | |||||||
\(398\) | 9.03137 | + | 3.03115i | 0.452702 | + | 0.151938i | ||||
\(399\) | 0.0834885 | + | 0.0834885i | 0.00417965 | + | 0.00417965i | ||||
\(400\) | −11.4805 | − | 1.35112i | −0.574025 | − | 0.0675562i | ||||
\(401\) | 12.9963 | − | 12.9963i | 0.649006 | − | 0.649006i | −0.303747 | − | 0.952753i | \(-0.598238\pi\) |
0.952753 | + | 0.303747i | \(0.0982376\pi\) | |||||||
\(402\) | −7.39489 | + | 3.67841i | −0.368824 | + | 0.183463i | ||||
\(403\) | 6.26311 | + | 31.4868i | 0.311988 | + | 1.56847i | ||||
\(404\) | 0.596594 | − | 10.1735i | 0.0296816 | − | 0.506150i | ||||
\(405\) | −9.41811 | + | 6.29298i | −0.467989 | + | 0.312701i | ||||
\(406\) | −0.136530 | + | 0.105511i | −0.00677589 | + | 0.00523642i | ||||
\(407\) | 23.0857 | − | 9.56241i | 1.14432 | − | 0.473991i | ||||
\(408\) | 0.896928 | + | 2.10375i | 0.0444045 | + | 0.104151i | ||||
\(409\) | −10.3447 | − | 4.28490i | −0.511510 | − | 0.211874i | 0.111973 | − | 0.993711i | \(-0.464283\pi\) |
−0.623483 | + | 0.781837i | \(0.714283\pi\) | |||||||
\(410\) | −4.07152 | − | 14.9888i | −0.201078 | − | 0.740246i | ||||
\(411\) | −0.317344 | + | 1.59539i | −0.0156534 | + | 0.0786950i | ||||
\(412\) | −2.07526 | − | 0.540800i | −0.102241 | − | 0.0266433i | ||||
\(413\) | 8.21072 | − | 12.2882i | 0.404023 | − | 0.604663i | ||||
\(414\) | −18.7447 | + | 21.5231i | −0.921253 | + | 1.05780i | ||||
\(415\) | − | 8.36499i | − | 0.410621i | ||||||
\(416\) | 14.9523 | + | 24.8997i | 0.733095 | + | 1.22081i | ||||
\(417\) | 2.88212i | 0.141138i | ||||||||
\(418\) | −0.585880 | − | 0.510250i | −0.0286563 | − | 0.0249572i | ||||
\(419\) | −16.9150 | + | 25.3152i | −0.826354 | + | 1.23673i | 0.142672 | + | 0.989770i | \(0.454430\pi\) |
−0.969027 | + | 0.246957i | \(0.920570\pi\) | |||||||
\(420\) | 1.60787 | − | 0.943102i | 0.0784560 | − | 0.0460187i | ||||
\(421\) | 4.45310 | − | 22.3872i | 0.217031 | − | 1.09109i | −0.706544 | − | 0.707669i | \(-0.749747\pi\) |
0.923575 | − | 0.383418i | \(-0.125253\pi\) | |||||||
\(422\) | 29.0144 | − | 7.88137i | 1.41240 | − | 0.383659i | ||||
\(423\) | −29.3516 | − | 12.1579i | −1.42713 | − | 0.591135i | ||||
\(424\) | −4.34548 | + | 4.43604i | −0.211035 | + | 0.215433i | ||||
\(425\) | 5.86199 | − | 2.42811i | 0.284348 | − | 0.117781i | ||||
\(426\) | 0.942438 | + | 1.21951i | 0.0456613 | + | 0.0590853i | ||||
\(427\) | 5.73551 | − | 3.83235i | 0.277561 | − | 0.185460i | ||||
\(428\) | 6.03663 | − | 5.36785i | 0.291792 | − | 0.259465i | ||||
\(429\) | −1.10128 | − | 5.53649i | −0.0531701 | − | 0.267304i | ||||
\(430\) | 10.1669 | + | 20.4390i | 0.490292 | + | 0.985658i | ||||
\(431\) | 9.97751 | − | 9.97751i | 0.480600 | − | 0.480600i | −0.424723 | − | 0.905323i | \(-0.639629\pi\) |
0.905323 | + | 0.424723i | \(0.139629\pi\) | |||||||
\(432\) | −0.683479 | − | 8.61176i | −0.0328839 | − | 0.414334i | ||||
\(433\) | 9.49988 | + | 9.49988i | 0.456535 | + | 0.456535i | 0.897516 | − | 0.440981i | \(-0.145369\pi\) |
−0.440981 | + | 0.897516i | \(0.645369\pi\) | |||||||
\(434\) | 4.90192 | − | 14.6054i | 0.235300 | − | 0.701079i | ||||
\(435\) | 0.0367440 | − | 0.00730885i | 0.00176174 | − | 0.000350432i | ||||
\(436\) | −2.32841 | − | 6.70743i | −0.111511 | − | 0.321228i | ||||
\(437\) | 0.720328 | + | 1.07805i | 0.0344580 | + | 0.0515700i | ||||
\(438\) | 5.05982 | + | 0.648451i | 0.241767 | + | 0.0309842i | ||||
\(439\) | −3.51252 | − | 8.47998i | −0.167643 | − | 0.404727i | 0.817623 | − | 0.575754i | \(-0.195291\pi\) |
−0.985266 | + | 0.171027i | \(0.945291\pi\) | |||||||
\(440\) | −10.1278 | + | 6.91930i | −0.482824 | + | 0.329865i | ||||
\(441\) | 4.34582 | − | 10.4917i | 0.206944 | − | 0.499606i | ||||
\(442\) | −13.8335 | − | 7.92347i | −0.657990 | − | 0.376881i | ||||
\(443\) | 4.35418 | + | 0.866101i | 0.206874 | + | 0.0411497i | 0.297439 | − | 0.954741i | \(-0.403867\pi\) |
−0.0905656 | + | 0.995890i | \(0.528867\pi\) | |||||||
\(444\) | 3.71927 | − | 4.91667i | 0.176509 | − | 0.233335i | ||||
\(445\) | 19.0006 | + | 12.6958i | 0.900715 | + | 0.601839i | ||||
\(446\) | −25.5998 | + | 1.76630i | −1.21218 | + | 0.0836365i | ||||
\(447\) | 4.78198 | 0.226180 | ||||||||
\(448\) | −0.287447 | − | 13.9349i | −0.0135806 | − | 0.658362i | ||||
\(449\) | 12.3670 | 0.583636 | 0.291818 | − | 0.956474i | \(-0.405740\pi\) | ||||
0.291818 | + | 0.956474i | \(0.405740\pi\) | |||||||
\(450\) | −11.6789 | + | 0.805802i | −0.550548 | + | 0.0379859i | ||||
\(451\) | 18.7677 | + | 12.5402i | 0.883738 | + | 0.590495i | ||||
\(452\) | −11.5536 | − | 8.73988i | −0.543437 | − | 0.411089i | ||||
\(453\) | −3.82970 | − | 0.761775i | −0.179935 | − | 0.0357913i | ||||
\(454\) | 29.8833 | + | 17.1164i | 1.40249 | + | 0.803314i | ||||
\(455\) | −4.97254 | + | 12.0048i | −0.233116 | + | 0.562793i | ||||
\(456\) | −0.188374 | − | 0.0354546i | −0.00882143 | − | 0.00166031i | ||||
\(457\) | 5.19687 | + | 12.5463i | 0.243099 | + | 0.586893i | 0.997588 | − | 0.0694200i | \(-0.0221149\pi\) |
−0.754488 | + | 0.656314i | \(0.772115\pi\) | |||||||
\(458\) | 23.3321 | + | 2.99017i | 1.09024 | + | 0.139722i | ||||
\(459\) | 2.63437 | + | 3.94261i | 0.122962 | + | 0.184025i | ||||
\(460\) | 19.3375 | − | 6.71282i | 0.901616 | − | 0.312987i | ||||
\(461\) | −31.3777 | + | 6.24141i | −1.46140 | + | 0.290691i | −0.860836 | − | 0.508882i | \(-0.830059\pi\) |
−0.600568 | + | 0.799573i | \(0.705059\pi\) | |||||||
\(462\) | −0.861932 | + | 2.56814i | −0.0401007 | + | 0.119481i | ||||
\(463\) | 20.2752 | + | 20.2752i | 0.942266 | + | 0.942266i | 0.998422 | − | 0.0561556i | \(-0.0178843\pi\) |
−0.0561556 | + | 0.998422i | \(0.517884\pi\) | |||||||
\(464\) | 0.0863874 | − | 0.266471i | 0.00401043 | − | 0.0123706i | ||||
\(465\) | −2.36525 | + | 2.36525i | −0.109686 | + | 0.109686i | ||||
\(466\) | −5.41353 | − | 10.8831i | −0.250777 | − | 0.504149i | ||||
\(467\) | 1.24791 | + | 6.27365i | 0.0577463 | + | 0.290310i | 0.998858 | − | 0.0477869i | \(-0.0152168\pi\) |
−0.941111 | + | 0.338097i | \(0.890217\pi\) | |||||||
\(468\) | 19.5451 | + | 21.9803i | 0.903475 | + | 1.01604i | ||||
\(469\) | −22.9723 | + | 15.3496i | −1.06076 | + | 0.708777i | ||||
\(470\) | 13.9327 | + | 18.0288i | 0.642669 | + | 0.831608i | ||||
\(471\) | −2.64541 | + | 1.09576i | −0.121894 | + | 0.0504901i | ||||
\(472\) | 0.247420 | + | 23.9915i | 0.0113884 | + | 1.10430i | ||||
\(473\) | −30.6495 | − | 12.6954i | −1.40926 | − | 0.583737i | ||||
\(474\) | 1.12508 | − | 0.305612i | 0.0516764 | − | 0.0140372i | ||||
\(475\) | −0.103749 | + | 0.521583i | −0.00476035 | + | 0.0239319i | ||||
\(476\) | 3.87060 | + | 6.59888i | 0.177409 | + | 0.302459i | ||||
\(477\) | −3.49383 | + | 5.22888i | −0.159971 | + | 0.239414i | ||||
\(478\) | −16.5286 | − | 14.3950i | −0.755999 | − | 0.658410i | ||||
\(479\) | − | 38.2671i | − | 1.74847i | −0.485503 | − | 0.874235i | \(-0.661364\pi\) | ||
0.485503 | − | 0.874235i | \(-0.338636\pi\) | |||||||
\(480\) | −1.29161 | + | 2.73671i | −0.0589536 | + | 0.124913i | ||||
\(481\) | 42.9745i | 1.95947i | ||||||||
\(482\) | 27.4718 | − | 31.5436i | 1.25131 | − | 1.43677i | ||||
\(483\) | 2.51159 | − | 3.75886i | 0.114281 | − | 0.171034i | ||||
\(484\) | −1.05278 | + | 4.03992i | −0.0478536 | + | 0.183633i | ||||
\(485\) | 1.48946 | − | 7.48803i | 0.0676330 | − | 0.340014i | ||||
\(486\) | −3.46654 | − | 12.7617i | −0.157245 | − | 0.578881i | ||||
\(487\) | −0.702848 | − | 0.291129i | −0.0318491 | − | 0.0131923i | 0.366702 | − | 0.930338i | \(-0.380487\pi\) |
−0.398551 | + | 0.917146i | \(0.630487\pi\) | |||||||
\(488\) | −4.17861 | + | 10.3898i | −0.189157 | + | 0.470325i | ||||
\(489\) | 0.267696 | − | 0.110884i | 0.0121057 | − | 0.00501433i | ||||
\(490\) | −6.44440 | + | 4.98025i | −0.291128 | + | 0.224985i | ||||
\(491\) | −16.0938 | + | 10.7535i | −0.726303 | + | 0.485300i | −0.862931 | − | 0.505322i | \(-0.831374\pi\) |
0.136628 | + | 0.990622i | \(0.456374\pi\) | |||||||
\(492\) | 5.55933 | + | 0.326010i | 0.250634 | + | 0.0146977i | ||||
\(493\) | 0.0299963 | + | 0.150802i | 0.00135097 | + | 0.00679177i | ||||
\(494\) | 1.19634 | − | 0.595089i | 0.0538257 | − | 0.0267743i | ||||
\(495\) | −8.78343 | + | 8.78343i | −0.394786 | + | 0.394786i | ||||
\(496\) | 6.80486 | + | 24.0674i | 0.305547 | + | 1.08066i | ||||
\(497\) | 3.64560 | + | 3.64560i | 0.163528 | + | 0.163528i | ||||
\(498\) | 2.84334 | + | 0.954295i | 0.127413 | + | 0.0427630i | ||||
\(499\) | −27.5562 | + | 5.48127i | −1.23359 | + | 0.245376i | −0.768477 | − | 0.639878i | \(-0.778985\pi\) |
−0.465109 | + | 0.885253i | \(0.653985\pi\) | |||||||
\(500\) | 20.6273 | + | 9.99654i | 0.922480 | + | 0.447059i | ||||
\(501\) | 3.89429 | + | 5.82822i | 0.173984 | + | 0.260386i | ||||
\(502\) | −1.02105 | + | 7.96715i | −0.0455715 | + | 0.355591i | ||||
\(503\) | 0.279297 | + | 0.674282i | 0.0124532 | + | 0.0300647i | 0.929984 | − | 0.367600i | \(-0.119821\pi\) |
−0.917531 | + | 0.397665i | \(0.869821\pi\) | |||||||
\(504\) | −2.89631 | − | 13.8146i | −0.129012 | − | 0.615353i | ||||
\(505\) | −2.83252 | + | 6.83831i | −0.126046 | + | 0.304301i | ||||
\(506\) | −14.7850 | + | 25.8128i | −0.657272 | + | 1.14752i | ||||
\(507\) | 4.82617 | + | 0.959986i | 0.214338 | + | 0.0426345i | ||||
\(508\) | 5.83232 | − | 0.808670i | 0.258767 | − | 0.0358789i | ||||
\(509\) | −14.6162 | − | 9.76623i | −0.647851 | − | 0.432880i | 0.187750 | − | 0.982217i | \(-0.439881\pi\) |
−0.835601 | + | 0.549336i | \(0.814881\pi\) | |||||||
\(510\) | −0.114334 | − | 1.65709i | −0.00506278 | − | 0.0733774i | ||||
\(511\) | 17.0643 | 0.754882 | ||||||||
\(512\) | 13.1471 | + | 18.4162i | 0.581024 | + | 0.813887i | ||||
\(513\) | −0.397427 | −0.0175468 | ||||||||
\(514\) | −1.78268 | − | 25.8373i | −0.0786307 | − | 1.13963i | ||||
\(515\) | 1.29510 | + | 0.865359i | 0.0570690 | + | 0.0381323i | ||||
\(516\) | −8.10728 | + | 1.12410i | −0.356903 | + | 0.0494857i | ||||
\(517\) | −32.4761 | − | 6.45989i | −1.42830 | − | 0.284106i | ||||
\(518\) | 10.2499 | − | 17.8952i | 0.450356 | − | 0.786269i | ||||
\(519\) | −0.206366 | + | 0.498212i | −0.00905848 | + | 0.0218691i | ||||
\(520\) | −4.32855 | − | 20.6461i | −0.189820 | − | 0.905389i | ||||
\(521\) | 0.465084 | + | 1.12281i | 0.0203757 | + | 0.0491913i | 0.933740 | − | 0.357952i | \(-0.116525\pi\) |
−0.913364 | + | 0.407143i | \(0.866525\pi\) | |||||||
\(522\) | 0.0360612 | − | 0.281383i | 0.00157836 | − | 0.0123158i | ||||
\(523\) | −16.7116 | − | 25.0106i | −0.730746 | − | 1.09364i | −0.991736 | − | 0.128297i | \(-0.959049\pi\) |
0.260990 | − | 0.965341i | \(-0.415951\pi\) | |||||||
\(524\) | 13.8912 | + | 6.73207i | 0.606842 | + | 0.294092i | ||||
\(525\) | 1.81862 | − | 0.361746i | 0.0793710 | − | 0.0157879i | ||||
\(526\) | −20.3662 | − | 6.83540i | −0.888008 | − | 0.298038i | ||||
\(527\) | −9.70724 | − | 9.70724i | −0.422854 | − | 0.422854i | ||||
\(528\) | −1.19653 | − | 4.23190i | −0.0520725 | − | 0.184170i | ||||
\(529\) | 18.8396 | − | 18.8396i | 0.819111 | − | 0.819111i | ||||
\(530\) | 4.03820 | − | 2.00871i | 0.175408 | − | 0.0872526i | ||||
\(531\) | 4.74025 | + | 23.8308i | 0.205709 | + | 1.03417i | ||||
\(532\) | −0.640106 | − | 0.0375371i | −0.0277521 | − | 0.00162744i | ||||
\(533\) | −32.2772 | + | 21.5669i | −1.39808 | + | 0.934167i | ||||
\(534\) | −6.48305 | + | 5.01012i | −0.280549 | + | 0.216809i | ||||
\(535\) | −5.42050 | + | 2.24524i | −0.234349 | + | 0.0970704i | ||||
\(536\) | 16.7364 | − | 41.6140i | 0.722904 | − | 1.79745i | ||||
\(537\) | 3.26638 | + | 1.35298i | 0.140955 | + | 0.0583854i | ||||
\(538\) | −5.20227 | − | 19.1516i | −0.224286 | − | 0.825682i | ||||
\(539\) | 2.30908 | − | 11.6086i | 0.0994593 | − | 0.500016i | ||||
\(540\) | −1.58223 | + | 6.07165i | −0.0680885 | + | 0.261282i | ||||
\(541\) | 12.6138 | − | 18.8780i | 0.542312 | − | 0.811627i | −0.454556 | − | 0.890718i | \(-0.650202\pi\) |
0.996867 | + | 0.0790916i | \(0.0252019\pi\) | |||||||
\(542\) | 22.5217 | − | 25.8599i | 0.967392 | − | 1.11078i | ||||
\(543\) | 0.821964i | 0.0352739i | ||||||||
\(544\) | −11.2318 | − | 5.30091i | −0.481559 | − | 0.227275i | ||||
\(545\) | 5.15681i | 0.220893i | ||||||||
\(546\) | −3.51326 | − | 3.05974i | −0.150354 | − | 0.130945i | ||||
\(547\) | −17.7222 | + | 26.5232i | −0.757748 | + | 1.13405i | 0.229258 | + | 0.973366i | \(0.426370\pi\) |
−0.987006 | + | 0.160684i | \(0.948630\pi\) | |||||||
\(548\) | −4.46942 | − | 7.61979i | −0.190924 | − | 0.325501i | ||||
\(549\) | −2.21251 | + | 11.1230i | −0.0944276 | + | 0.474720i | ||||
\(550\) | −11.7746 | + | 3.19841i | −0.502070 | + | 0.136381i | ||||
\(551\) | −0.0119061 | − | 0.00493165i | −0.000507215 | − | 0.000210095i | ||||
\(552\) | 0.0756838 | + | 7.33881i | 0.00322132 | + | 0.312360i | ||||
\(553\) | 3.60307 | − | 1.49244i | 0.153218 | − | 0.0634651i | ||||
\(554\) | −5.58830 | − | 7.23121i | −0.237424 | − | 0.307224i | ||||
\(555\) | −3.72301 | + | 2.48764i | −0.158033 | + | 0.105594i | ||||
\(556\) | −10.4007 | − | 11.6965i | −0.441088 | − | 0.496043i | ||||
\(557\) | −5.25641 | − | 26.4258i | −0.222721 | − | 1.11970i | −0.916662 | − | 0.399664i | \(-0.869127\pi\) |
0.693940 | − | 0.720032i | \(-0.255873\pi\) | |||||||
\(558\) | 11.2806 | + | 22.6780i | 0.477548 | + | 0.960037i | ||||
\(559\) | 40.3437 | − | 40.3437i | 1.70636 | − | 1.70636i | ||||
\(560\) | −3.12186 | + | 9.62971i | −0.131923 | + | 0.406930i | ||||
\(561\) | 1.70688 | + | 1.70688i | 0.0720644 | + | 0.0720644i | ||||
\(562\) | −1.07443 | + | 3.20129i | −0.0453223 | + | 0.135038i | ||||
\(563\) | 37.9592 | − | 7.55055i | 1.59979 | − | 0.318218i | 0.687002 | − | 0.726655i | \(-0.258926\pi\) |
0.912786 | + | 0.408437i | \(0.133926\pi\) | |||||||
\(564\) | −7.71764 | + | 2.67910i | −0.324971 | + | 0.112810i | ||||
\(565\) | 5.84567 | + | 8.74866i | 0.245929 | + | 0.368059i | ||||
\(566\) | 8.25589 | + | 1.05805i | 0.347021 | + | 0.0444732i | ||||
\(567\) | −5.19894 | − | 12.5514i | −0.218335 | − | 0.527107i | ||||
\(568\) | −8.22553 | − | 1.54816i | −0.345136 | − | 0.0649592i | ||||
\(569\) | −2.03813 | + | 4.92049i | −0.0854431 | + | 0.206278i | −0.960826 | − | 0.277152i | \(-0.910609\pi\) |
0.875383 | + | 0.483430i | \(0.160609\pi\) | |||||||
\(570\) | 0.120806 | + | 0.0691947i | 0.00506000 | + | 0.00289825i | ||||
\(571\) | 14.3880 | + | 2.86195i | 0.602118 | + | 0.119769i | 0.486731 | − | 0.873552i | \(-0.338189\pi\) |
0.115387 | + | 0.993321i | \(0.463189\pi\) | |||||||
\(572\) | 24.4488 | + | 18.4946i | 1.02226 | + | 0.773298i | ||||
\(573\) | −4.05864 | − | 2.71189i | −0.169552 | − | 0.113291i | ||||
\(574\) | 18.5846 | − | 1.28227i | 0.775707 | − | 0.0535211i | ||||
\(575\) | 20.3619 | 0.849149 | ||||||||
\(576\) | 16.5341 | + | 15.8657i | 0.688919 | + | 0.661072i | ||||
\(577\) | −10.2313 | −0.425936 | −0.212968 | − | 0.977059i | \(-0.568313\pi\) | ||||
−0.212968 | + | 0.977059i | \(0.568313\pi\) | |||||||
\(578\) | −17.1837 | + | 1.18562i | −0.714748 | + | 0.0493151i | ||||
\(579\) | −2.86250 | − | 1.91266i | −0.118961 | − | 0.0794874i | ||||
\(580\) | −0.122743 | + | 0.162260i | −0.00509663 | + | 0.00673747i | ||||
\(581\) | 9.84005 | + | 1.95731i | 0.408234 | + | 0.0812028i | ||||
\(582\) | 2.37533 | + | 1.36053i | 0.0984606 | + | 0.0563959i | ||||
\(583\) | −2.50827 | + | 6.05550i | −0.103882 | + | 0.250793i | ||||
\(584\) | −22.8743 | + | 15.6277i | −0.946547 | + | 0.646680i | ||||
\(585\) | −8.17527 | − | 19.7369i | −0.338006 | − | 0.816018i | ||||
\(586\) | −2.89417 | − | 0.370908i | −0.119557 | − | 0.0153221i | ||||
\(587\) | 15.0588 | + | 22.5371i | 0.621543 | + | 0.930206i | 0.999990 | + | 0.00458217i | \(0.00145855\pi\) |
−0.378446 | + | 0.925623i | \(0.623541\pi\) | |||||||
\(588\) | −0.957642 | − | 2.75867i | −0.0394925 | − | 0.113766i | ||||
\(589\) | 1.12851 | − | 0.224474i | 0.0464994 | − | 0.00924930i | ||||
\(590\) | 5.54467 | − | 16.5204i | 0.228270 | − | 0.680135i | ||||
\(591\) | 4.24934 | + | 4.24934i | 0.174795 | + | 0.174795i | ||||
\(592\) | 2.64884 | + | 33.3751i | 0.108867 | + | 1.37171i | ||||
\(593\) | 9.24907 | − | 9.24907i | 0.379814 | − | 0.379814i | −0.491221 | − | 0.871035i | \(-0.663449\pi\) |
0.871035 | + | 0.491221i | \(0.163449\pi\) | |||||||
\(594\) | −4.06099 | − | 8.16401i | −0.166625 | − | 0.334973i | ||||
\(595\) | −1.08400 | − | 5.44966i | −0.0444399 | − | 0.223414i | ||||
\(596\) | −19.4068 | + | 17.2567i | −0.794932 | + | 0.706863i | ||||
\(597\) | 2.06270 | − | 1.37826i | 0.0844209 | − | 0.0564082i | ||||
\(598\) | −31.2835 | − | 40.4806i | −1.27928 | − | 1.65537i | ||||
\(599\) | 5.52517 | − | 2.28860i | 0.225752 | − | 0.0935097i | −0.266940 | − | 0.963713i | \(-0.586013\pi\) |
0.492693 | + | 0.870203i | \(0.336013\pi\) | |||||||
\(600\) | −2.10653 | + | 2.15043i | −0.0859985 | + | 0.0877908i | ||||
\(601\) | −16.7410 | − | 6.93436i | −0.682880 | − | 0.282858i | 0.0141501 | − | 0.999900i | \(-0.495496\pi\) |
−0.697030 | + | 0.717042i | \(0.745496\pi\) | |||||||
\(602\) | −26.4221 | + | 7.17723i | −1.07689 | + | 0.292522i | ||||
\(603\) | 8.86169 | − | 44.5507i | 0.360876 | − | 1.81425i | ||||
\(604\) | 18.2911 | − | 10.7287i | 0.744254 | − | 0.436545i | ||||
\(605\) | 1.68460 | − | 2.52119i | 0.0684888 | − | 0.102501i | ||||
\(606\) | −2.00126 | − | 1.74293i | −0.0812958 | − | 0.0708016i | ||||
\(607\) | 7.72029i | 0.313357i | 0.987650 | + | 0.156679i | \(0.0500787\pi\) | ||||
−0.987650 | + | 0.156679i | \(0.949921\pi\) | |||||||
\(608\) | 0.892425 | − | 0.535900i | 0.0361926 | − | 0.0217336i | ||||
\(609\) | 0.0449336i | 0.00182080i | ||||||||
\(610\) | 5.34180 | − | 6.13356i | 0.216283 | − | 0.248341i | ||||
\(611\) | 31.6382 | − | 47.3499i | 1.27994 | − | 1.91557i | ||||
\(612\) | −12.1712 | − | 3.17175i | −0.491992 | − | 0.128210i | ||||
\(613\) | −5.99511 | + | 30.1394i | −0.242140 | + | 1.21732i | 0.648003 | + | 0.761638i | \(0.275605\pi\) |
−0.890143 | + | 0.455682i | \(0.849395\pi\) | |||||||
\(614\) | 7.25391 | + | 26.7044i | 0.292744 | + | 1.07770i | ||||
\(615\) | −3.73681 | − | 1.54784i | −0.150683 | − | 0.0624149i | ||||
\(616\) | −5.76965 | − | 13.5327i | −0.232466 | − | 0.545250i | ||||
\(617\) | −17.6517 | + | 7.31159i | −0.710632 | + | 0.294353i | −0.708566 | − | 0.705644i | \(-0.750658\pi\) |
−0.00206586 | + | 0.999998i | \(0.500658\pi\) | |||||||
\(618\) | −0.441891 | + | 0.341495i | −0.0177755 | + | 0.0137369i | ||||
\(619\) | −9.76932 | + | 6.52765i | −0.392662 | + | 0.262368i | −0.736191 | − | 0.676774i | \(-0.763378\pi\) |
0.343529 | + | 0.939142i | \(0.388378\pi\) | |||||||
\(620\) | 1.06343 | − | 18.1343i | 0.0427085 | − | 0.728293i | ||||
\(621\) | 2.96866 | + | 14.9245i | 0.119128 | + | 0.598899i | ||||
\(622\) | −39.4693 | + | 19.6331i | −1.58258 | + | 0.787214i | ||||
\(623\) | −19.3805 | + | 19.3805i | −0.776462 | + | 0.776462i | ||||
\(624\) | 7.51159 | + | 0.884029i | 0.300704 | + | 0.0353895i | ||||
\(625\) | −1.55466 | − | 1.55466i | −0.0621862 | − | 0.0621862i | ||||
\(626\) | 13.1915 | + | 4.42739i | 0.527237 | + | 0.176954i | ||||
\(627\) | −0.198432 | + | 0.0394705i | −0.00792460 | + | 0.00157630i | ||||
\(628\) | 6.78159 | − | 13.9934i | 0.270615 | − | 0.558398i | ||||
\(629\) | −10.2095 | − | 15.2797i | −0.407081 | − | 0.609240i | ||||
\(630\) | −1.30318 | + | 10.1686i | −0.0519198 | + | 0.405127i | ||||
\(631\) | 4.61559 | + | 11.1430i | 0.183744 | + | 0.443596i | 0.988732 | − | 0.149694i | \(-0.0478287\pi\) |
−0.804989 | + | 0.593290i | \(0.797829\pi\) | |||||||
\(632\) | −3.46304 | + | 5.30032i | −0.137752 | + | 0.210836i | ||||
\(633\) | 2.99620 | − | 7.23347i | 0.119088 | − | 0.287504i | ||||
\(634\) | 5.36639 | − | 9.36909i | 0.213127 | − | 0.372094i | ||||
\(635\) | −4.19439 | − | 0.834315i | −0.166449 | − | 0.0331088i | ||||
\(636\) | 0.222091 | + | 1.60178i | 0.00880650 | + | 0.0635146i | ||||
\(637\) | 16.9252 | + | 11.3091i | 0.670601 | + | 0.448081i | ||||
\(638\) | −0.0203518 | − | 0.294969i | −0.000805737 | − | 0.0116779i | ||||
\(639\) | −8.47633 | −0.335318 | ||||||||
\(640\) | −4.63424 | − | 15.7674i | −0.183184 | − | 0.623263i | ||||
\(641\) | 6.70997 | 0.265028 | 0.132514 | − | 0.991181i | \(-0.457695\pi\) | ||||
0.132514 | + | 0.991181i | \(0.457695\pi\) | |||||||
\(642\) | −0.144797 | − | 2.09862i | −0.00571470 | − | 0.0828259i | ||||
\(643\) | 0.990370 | + | 0.661744i | 0.0390564 | + | 0.0260966i | 0.574945 | − | 0.818192i | \(-0.305023\pi\) |
−0.535889 | + | 0.844289i | \(0.680023\pi\) | |||||||
\(644\) | 3.37179 | + | 24.3182i | 0.132867 | + | 0.958270i | ||||
\(645\) | 5.83045 | + | 1.15975i | 0.229574 | + | 0.0456651i | ||||
\(646\) | −0.283983 | + | 0.495801i | −0.0111732 | + | 0.0195070i | ||||
\(647\) | −3.48816 | + | 8.42116i | −0.137134 | + | 0.331070i | −0.977496 | − | 0.210956i | \(-0.932342\pi\) |
0.840362 | + | 0.542026i | \(0.182342\pi\) | |||||||
\(648\) | 18.4637 | + | 12.0635i | 0.725324 | + | 0.473901i | ||||
\(649\) | 9.69120 | + | 23.3966i | 0.380413 | + | 0.918398i | ||||
\(650\) | 2.66743 | − | 20.8138i | 0.104625 | − | 0.816383i | ||||
\(651\) | −2.22889 | − | 3.33577i | −0.0873570 | − | 0.130739i | ||||
\(652\) | −0.686249 | + | 1.41603i | −0.0268756 | + | 0.0554562i | ||||
\(653\) | 32.8825 | − | 6.54074i | 1.28679 | − | 0.255959i | 0.496150 | − | 0.868237i | \(-0.334747\pi\) |
0.790643 | + | 0.612278i | \(0.209747\pi\) | |||||||
\(654\) | −1.75285 | − | 0.588299i | −0.0685417 | − | 0.0230043i | ||||
\(655\) | −7.92782 | − | 7.92782i | −0.309765 | − | 0.309765i | ||||
\(656\) | −23.7379 | + | 18.7389i | −0.926810 | + | 0.731631i | ||||
\(657\) | −19.8380 | + | 19.8380i | −0.773954 | + | 0.773954i | ||||
\(658\) | −24.4681 | + | 12.1711i | −0.953865 | + | 0.474478i | ||||
\(659\) | 5.99601 | + | 30.1440i | 0.233571 | + | 1.17424i | 0.902424 | + | 0.430848i | \(0.141786\pi\) |
−0.668853 | + | 0.743395i | \(0.733214\pi\) | |||||||
\(660\) | −0.186989 | + | 3.18866i | −0.00727855 | + | 0.124118i | ||||
\(661\) | 37.6753 | − | 25.1739i | 1.46540 | − | 0.979149i | 0.470069 | − | 0.882629i | \(-0.344229\pi\) |
0.995331 | − | 0.0965199i | \(-0.0307712\pi\) | |||||||
\(662\) | 6.04469 | − | 4.67135i | 0.234934 | − | 0.181557i | ||||
\(663\) | −3.83545 | + | 1.58869i | −0.148956 | + | 0.0616997i | ||||
\(664\) | −14.9829 | + | 6.38792i | −0.581449 | + | 0.247899i | ||||
\(665\) | 0.430260 | + | 0.178220i | 0.0166848 | + | 0.00691106i | ||||
\(666\) | 8.88792 | + | 32.7199i | 0.344400 | + | 1.26787i | ||||
\(667\) | −0.0962624 | + | 0.483944i | −0.00372729 | + | 0.0187384i | ||||
\(668\) | −36.8365 | − | 9.59937i | −1.42525 | − | 0.371411i | ||||
\(669\) | −3.71249 | + | 5.55614i | −0.143533 | + | 0.214813i | ||||
\(670\) | −21.3954 | + | 24.5666i | −0.826575 | + | 0.949089i | ||||
\(671\) | 11.8201i | 0.456310i | ||||||||
\(672\) | −2.91708 | − | 2.15973i | −0.112529 | − | 0.0833132i | ||||
\(673\) | 32.2882i | 1.24462i | 0.782771 | + | 0.622310i | \(0.213806\pi\) | ||||
−0.782771 | + | 0.622310i | \(0.786194\pi\) | |||||||
\(674\) | 14.1670 | + | 12.3382i | 0.545692 | + | 0.475250i | ||||
\(675\) | −3.46755 | + | 5.18955i | −0.133466 | + | 0.199746i | ||||
\(676\) | −23.0504 | + | 13.5203i | −0.886553 | + | 0.520011i | ||||
\(677\) | 1.07518 | − | 5.40530i | 0.0413225 | − | 0.207742i | −0.954608 | − | 0.297864i | \(-0.903726\pi\) |
0.995931 | + | 0.0901220i | \(0.0287257\pi\) | |||||||
\(678\) | −3.64064 | + | 0.988931i | −0.139818 | + | 0.0379797i | ||||
\(679\) | 8.45994 | + | 3.50422i | 0.324663 | + | 0.134480i | ||||
\(680\) | 6.44395 | + | 6.31240i | 0.247114 | + | 0.242069i | ||||
\(681\) | 8.28540 | − | 3.43193i | 0.317497 | − | 0.131512i | ||||
\(682\) | 16.1425 | + | 20.8883i | 0.618130 | + | 0.799854i | ||||
\(683\) | 16.8416 | − | 11.2532i | 0.644427 | − | 0.430592i | −0.189945 | − | 0.981795i | \(-0.560831\pi\) |
0.834371 | + | 0.551203i | \(0.185831\pi\) | |||||||
\(684\) | 0.787789 | − | 0.700512i | 0.0301219 | − | 0.0267847i | ||||
\(685\) | 1.25171 | + | 6.29277i | 0.0478254 | + | 0.240435i | ||||
\(686\) | −12.0319 | − | 24.1884i | −0.459381 | − | 0.923516i | ||||
\(687\) | 4.33147 | − | 4.33147i | 0.165256 | − | 0.165256i | ||||
\(688\) | 28.8453 | − | 33.8187i | 1.09972 | − | 1.28932i | ||||
\(689\) | −7.97082 | − | 7.97082i | −0.303664 | − | 0.303664i | ||||
\(690\) | 1.69607 | − | 5.05346i | 0.0645682 | − | 0.192382i | ||||
\(691\) | −17.9592 | + | 3.57231i | −0.683201 | + | 0.135897i | −0.524476 | − | 0.851425i | \(-0.675739\pi\) |
−0.158726 | + | 0.987323i | \(0.550739\pi\) | |||||||
\(692\) | −0.960400 | − | 2.76661i | −0.0365089 | − | 0.105171i | ||||
\(693\) | −8.27706 | − | 12.3875i | −0.314419 | − | 0.470562i | ||||
\(694\) | 16.5731 | + | 2.12396i | 0.629106 | + | 0.0806243i | ||||
\(695\) | 4.35036 | + | 10.5027i | 0.165019 | + | 0.398390i | ||||
\(696\) | −0.0411507 | − | 0.0602324i | −0.00155981 | − | 0.00228310i | ||||
\(697\) | 6.35251 | − | 15.3363i | 0.240618 | − | 0.580904i | ||||
\(698\) | 32.6170 | + | 18.6822i | 1.23457 | + | 0.707133i | ||||
\(699\) | −3.10451 | − | 0.617526i | −0.117423 | − | 0.0233570i | ||||
\(700\) | −6.07508 | + | 8.03092i | −0.229616 | + | 0.303540i | ||||
\(701\) | 11.9298 | + | 7.97124i | 0.450583 | + | 0.301070i | 0.760079 | − | 0.649831i | \(-0.225160\pi\) |
−0.309496 | + | 0.950901i | \(0.600160\pi\) | |||||||
\(702\) | 15.6446 | − | 1.07942i | 0.590467 | − | 0.0407402i | ||||
\(703\) | 1.54024 | 0.0580911 | ||||||||
\(704\) | 20.1275 | + | 12.8564i | 0.758585 | + | 0.484544i | ||||
\(705\) | 5.93348 | 0.223468 | ||||||||
\(706\) | 15.2343 | − | 1.05111i | 0.573351 | − | 0.0395592i | ||||
\(707\) | −7.38139 | − | 4.93208i | −0.277606 | − | 0.185490i | ||||
\(708\) | 4.98289 | + | 3.76937i | 0.187269 | + | 0.141661i | ||||
\(709\) | 8.17031 | + | 1.62518i | 0.306843 | + | 0.0610348i | 0.346110 | − | 0.938194i | \(-0.387502\pi\) |
−0.0392674 | + | 0.999229i | \(0.512502\pi\) | |||||||
\(710\) | 5.27510 | + | 3.02145i | 0.197971 | + | 0.113393i | ||||
\(711\) | −2.45370 | + | 5.92375i | −0.0920208 | + | 0.222158i | ||||
\(712\) | 8.23018 | − | 43.7279i | 0.308439 | − | 1.63877i | ||||
\(713\) | −16.8593 | − | 40.7019i | −0.631385 | − | 1.52430i | ||||
\(714\) | 1.97605 | + | 0.253245i | 0.0739520 | + | 0.00947746i | ||||
\(715\) | −12.3701 | − | 18.5132i | −0.462616 | − | 0.692354i | ||||
\(716\) | −18.1385 | + | 6.29658i | −0.677866 | + | 0.235314i | ||||
\(717\) | −5.59807 | + | 1.11353i | −0.209064 | + | 0.0415854i | ||||
\(718\) | 6.42240 | − | 19.1356i | 0.239682 | − | 0.714135i | ||||
\(719\) | 14.9481 | + | 14.9481i | 0.557471 | + | 0.557471i | 0.928587 | − | 0.371116i | \(-0.121025\pi\) |
−0.371116 | + | 0.928587i | \(0.621025\pi\) | |||||||
\(720\) | −7.56565 | − | 14.8242i | −0.281955 | − | 0.552467i | ||||
\(721\) | −1.32099 | + | 1.32099i | −0.0491963 | + | 0.0491963i | ||||
\(722\) | 11.9458 | + | 24.0152i | 0.444575 | + | 0.893751i | ||||
\(723\) | −2.12509 | − | 10.6835i | −0.0790328 | − | 0.397325i | ||||
\(724\) | −2.96622 | − | 3.33578i | −0.110239 | − | 0.123973i | ||||
\(725\) | −0.168277 | + | 0.112439i | −0.00624966 | + | 0.00417589i | ||||
\(726\) | 0.664791 | + | 0.860233i | 0.0246727 | + | 0.0319263i | ||||
\(727\) | −12.1904 | + | 5.04943i | −0.452117 | + | 0.187273i | −0.597110 | − | 0.802160i | \(-0.703684\pi\) |
0.144992 | + | 0.989433i | \(0.453684\pi\) | |||||||
\(728\) | 25.2996 | − | 0.260910i | 0.937664 | − | 0.00966996i | ||||
\(729\) | 18.4310 | + | 7.63436i | 0.682629 | + | 0.282754i | ||||
\(730\) | 19.4172 | − | 5.27444i | 0.718664 | − | 0.195216i | ||||
\(731\) | −4.75974 | + | 23.9288i | −0.176045 | + | 0.885040i | ||||
\(732\) | 1.47545 | + | 2.51546i | 0.0545342 | + | 0.0929740i | ||||
\(733\) | 8.53401 | − | 12.7721i | 0.315211 | − | 0.471746i | −0.639706 | − | 0.768620i | \(-0.720944\pi\) |
0.954917 | + | 0.296873i | \(0.0959439\pi\) | |||||||
\(734\) | −27.0183 | − | 23.5306i | −0.997264 | − | 0.868531i | ||||
\(735\) | 2.12092i | 0.0782313i | ||||||||
\(736\) | −26.7907 | − | 29.5100i | −0.987518 | − | 1.08775i | ||||
\(737\) | − | 47.3427i | − | 1.74389i | ||||||
\(738\) | −20.1147 | + | 23.0961i | −0.740432 | + | 0.850179i | ||||
\(739\) | 8.82990 | − | 13.2149i | 0.324813 | − | 0.486117i | −0.632744 | − | 0.774361i | \(-0.718071\pi\) |
0.957557 | + | 0.288244i | \(0.0930714\pi\) | |||||||
\(740\) | 6.13199 | − | 23.5308i | 0.225416 | − | 0.865010i | ||||
\(741\) | 0.0678823 | − | 0.341267i | 0.00249372 | − | 0.0125368i | ||||
\(742\) | 1.41802 | + | 5.22030i | 0.0520573 | + | 0.191643i | ||||
\(743\) | −19.6016 | − | 8.11923i | −0.719112 | − | 0.297866i | −0.00704260 | − | 0.999975i | \(-0.502242\pi\) |
−0.712069 | + | 0.702109i | \(0.752242\pi\) | |||||||
\(744\) | 6.04271 | + | 2.43027i | 0.221537 | + | 0.0890982i | ||||
\(745\) | 17.4260 | − | 7.21808i | 0.638439 | − | 0.264450i | ||||
\(746\) | −32.4744 | + | 25.0963i | −1.18897 | + | 0.918840i | ||||
\(747\) | −13.7149 | + | 9.16402i | −0.501803 | + | 0.335294i | ||||
\(748\) | −13.0866 | − | 0.767425i | −0.478494 | − | 0.0280599i | ||||
\(749\) | −1.37283 | − | 6.90170i | −0.0501622 | − | 0.252183i | ||||
\(750\) | 5.34443 | − | 2.65846i | 0.195151 | − | 0.0970733i | ||||
\(751\) | −35.0649 | + | 35.0649i | −1.27954 | + | 1.27954i | −0.338608 | + | 0.940928i | \(0.609956\pi\) |
−0.940928 | + | 0.338608i | \(0.890044\pi\) | |||||||
\(752\) | 21.6525 | − | 38.7232i | 0.789585 | − | 1.41209i | ||||
\(753\) | 1.47906 | + | 1.47906i | 0.0538998 | + | 0.0538998i | ||||
\(754\) | 0.482073 | + | 0.161796i | 0.0175561 | + | 0.00589226i | ||||
\(755\) | −15.1056 | + | 3.00470i | −0.549750 | + | 0.109352i | ||||
\(756\) | −6.77208 | − | 3.28193i | −0.246298 | − | 0.119363i | ||||
\(757\) | 4.47197 | + | 6.69277i | 0.162536 | + | 0.243253i | 0.903794 | − | 0.427968i | \(-0.140770\pi\) |
−0.741258 | + | 0.671221i | \(0.765770\pi\) | |||||||
\(758\) | 0.940485 | − | 7.33854i | 0.0341600 | − | 0.266548i | ||||
\(759\) | 2.96446 | + | 7.15683i | 0.107603 | + | 0.259776i | ||||
\(760\) | −0.739969 | + | 0.155138i | −0.0268415 | + | 0.00562746i | ||||
\(761\) | −14.8692 | + | 35.8975i | −0.539009 | + | 1.30128i | 0.386406 | + | 0.922329i | \(0.373716\pi\) |
−0.925415 | + | 0.378955i | \(0.876284\pi\) | |||||||
\(762\) | 0.762096 | − | 1.33053i | 0.0276078 | − | 0.0482000i | ||||
\(763\) | −6.06615 | − | 1.20663i | −0.219609 | − | 0.0436830i | ||||
\(764\) | 26.2576 | − | 3.64070i | 0.949966 | − | 0.131716i | ||||
\(765\) | 7.59566 | + | 5.07526i | 0.274622 | + | 0.183496i | ||||
\(766\) | 0.841411 | + | 12.1950i | 0.0304014 | + | 0.440623i | ||||
\(767\) | −43.5533 | −1.57262 | ||||||||
\(768\) | 5.88818 | + | 0.223564i | 0.212471 | + | 0.00806716i | ||||
\(769\) | −8.75459 | −0.315699 | −0.157849 | − | 0.987463i | \(-0.550456\pi\) | ||||
−0.157849 | + | 0.987463i | \(0.550456\pi\) | |||||||
\(770\) | 0.735473 | + | 10.6596i | 0.0265046 | + | 0.384144i | ||||
\(771\) | −5.60768 | − | 3.74693i | −0.201956 | − | 0.134942i | ||||
\(772\) | 18.5191 | − | 2.56773i | 0.666517 | − | 0.0924146i | ||||
\(773\) | 22.8691 | + | 4.54895i | 0.822544 | + | 0.163614i | 0.588382 | − | 0.808583i | \(-0.299765\pi\) |
0.234162 | + | 0.972197i | \(0.424765\pi\) | |||||||
\(774\) | 22.3730 | − | 39.0607i | 0.804182 | − | 1.40401i | ||||
\(775\) | 6.91507 | − | 16.6945i | 0.248397 | − | 0.599683i | ||||
\(776\) | −14.5496 | + | 3.05039i | −0.522299 | + | 0.109503i | ||||
\(777\) | −2.05516 | − | 4.96159i | −0.0737284 | − | 0.177996i | ||||
\(778\) | 0.571201 | − | 4.45704i | 0.0204786 | − | 0.159793i | ||||
\(779\) | 0.772974 | + | 1.15684i | 0.0276947 | + | 0.0414480i | ||||
\(780\) | −4.94342 | − | 2.39572i | −0.177003 | − | 0.0857804i | ||||
\(781\) | −8.66470 | + | 1.72352i | −0.310048 | + | 0.0616723i | ||||
\(782\) | 20.7400 | + | 6.96085i | 0.741660 | + | 0.248920i | ||||
\(783\) | −0.106948 | − | 0.106948i | −0.00382200 | − | 0.00382200i | ||||
\(784\) | 13.8416 | + | 7.73967i | 0.494343 | + | 0.276417i | ||||
\(785\) | −7.98613 | + | 7.98613i | −0.285037 | + | 0.285037i | ||||
\(786\) | 3.59916 | − | 1.79032i | 0.128378 | − | 0.0638584i | ||||
\(787\) | −7.15249 | − | 35.9580i | −0.254959 | − | 1.28176i | −0.869915 | − | 0.493202i | \(-0.835826\pi\) |
0.614956 | − | 0.788561i | \(-0.289174\pi\) | |||||||
\(788\) | −32.5797 | − | 1.91054i | −1.16060 | − | 0.0680601i | ||||
\(789\) | −4.65150 | + | 3.10803i | −0.165598 | + | 0.110649i | ||||
\(790\) | 3.63858 | − | 2.81190i | 0.129455 | − | 0.100043i | ||||
\(791\) | −11.6592 | + | 4.82940i | −0.414553 | + | 0.171714i | ||||
\(792\) | 22.4398 | + | 9.02491i | 0.797365 | + | 0.320686i | ||||
\(793\) | −18.7811 | − | 7.77937i | −0.666935 | − | 0.276254i | ||||
\(794\) | −7.37280 | − | 27.1421i | −0.261651 | − | 0.963238i | ||||
\(795\) | 0.229135 | − | 1.15194i | 0.00812657 | − | 0.0408550i | ||||
\(796\) | −3.39738 | + | 13.0371i | −0.120417 | + | 0.462086i | ||||
\(797\) | −22.6473 | + | 33.8941i | −0.802209 | + | 1.20059i | 0.174210 | + | 0.984708i | \(0.444263\pi\) |
−0.976419 | + | 0.215882i | \(0.930737\pi\) | |||||||
\(798\) | −0.109663 | + | 0.125918i | −0.00388204 | + | 0.00445744i | ||||
\(799\) | 24.3517i | 0.861501i | ||||||||
\(800\) | 0.788685 | − | 16.3289i | 0.0278842 | − | 0.577314i | ||||
\(801\) | − | 45.0612i | − | 1.59216i | ||||||
\(802\) | 19.6011 | + | 17.0709i | 0.692140 | + | 0.602794i | ||||
\(803\) | −16.2452 | + | 24.3126i | −0.573279 | + | 0.857973i | ||||
\(804\) | −5.90957 | − | 10.0751i | −0.208415 | − | 0.355321i | ||||
\(805\) | 3.47872 | − | 17.4887i | 0.122609 | − | 0.616396i | ||||
\(806\) | −43.8137 | + | 11.9014i | −1.54327 | + | 0.419210i | ||||
\(807\) | −4.77460 | − | 1.97771i | −0.168074 | − | 0.0696185i | ||||
\(808\) | 14.4114 | − | 0.148623i | 0.506993 | − | 0.00522852i | ||||
\(809\) | −20.5884 | + | 8.52801i | −0.723851 | + | 0.299829i | −0.714022 | − | 0.700123i | \(-0.753128\pi\) |
−0.00982829 | + | 0.999952i | \(0.503128\pi\) | |||||||
\(810\) | −9.79530 | − | 12.6750i | −0.344172 | − | 0.445355i | ||||
\(811\) | 28.5660 | − | 19.0872i | 1.00309 | − | 0.670241i | 0.0584267 | − | 0.998292i | \(-0.481392\pi\) |
0.944660 | + | 0.328050i | \(0.106392\pi\) | |||||||
\(812\) | −0.162152 | − | 0.182354i | −0.00569041 | − | 0.00639938i | ||||
\(813\) | −1.74217 | − | 8.75850i | −0.0611007 | − | 0.307174i | ||||
\(814\) | 15.7385 | + | 31.6398i | 0.551633 | + | 1.10898i | ||||
\(815\) | 0.808140 | − | 0.808140i | 0.0283079 | − | 0.0283079i | ||||
\(816\) | −2.88078 | + | 1.47023i | −0.100847 | + | 0.0514682i | ||||
\(817\) | −1.44595 | − | 1.44595i | −0.0505873 | − | 0.0505873i | ||||
\(818\) | 5.03839 | − | 15.0120i | 0.176163 | − | 0.524881i | ||||
\(819\) | 25.1301 | − | 4.99869i | 0.878117 | − | 0.174668i | ||||
\(820\) | 20.7508 | − | 7.20342i | 0.724650 | − | 0.251554i | ||||
\(821\) | 18.1775 | + | 27.2045i | 0.634398 | + | 0.949444i | 0.999827 | + | 0.0186046i | \(0.00592238\pi\) |
−0.365429 | + | 0.930839i | \(0.619078\pi\) | |||||||
\(822\) | −2.28177 | − | 0.292425i | −0.0795858 | − | 0.0101995i | ||||
\(823\) | −13.8958 | − | 33.5474i | −0.484377 | − | 1.16939i | −0.957511 | − | 0.288398i | \(-0.906877\pi\) |
0.473134 | − | 0.880991i | \(-0.343123\pi\) | |||||||
\(824\) | 0.560978 | − | 2.98054i | 0.0195426 | − | 0.103832i | ||||
\(825\) | −1.21591 | + | 2.93548i | −0.0423327 | + | 0.102200i | ||||
\(826\) | 18.1362 | + | 10.3880i | 0.631039 | + | 0.361444i | ||||
\(827\) | −31.3707 | − | 6.24001i | −1.09087 | − | 0.216987i | −0.383292 | − | 0.923627i | \(-0.625210\pi\) |
−0.707573 | + | 0.706641i | \(0.750210\pi\) | |||||||
\(828\) | −32.1907 | − | 24.3510i | −1.11870 | − | 0.846257i | ||||
\(829\) | −28.9138 | − | 19.3196i | −1.00422 | − | 0.670997i | −0.0592783 | − | 0.998241i | \(-0.518880\pi\) |
−0.944940 | + | 0.327244i | \(0.893880\pi\) | |||||||
\(830\) | 11.8018 | − | 0.814285i | 0.409647 | − | 0.0282642i | ||||
\(831\) | −2.37987 | −0.0825567 | ||||||||
\(832\) | −33.6745 | + | 23.5194i | −1.16745 | + | 0.815389i | ||||
\(833\) | −8.70450 | −0.301593 | ||||||||
\(834\) | −4.06626 | + | 0.280558i | −0.140803 | + | 0.00971493i | ||||
\(835\) | 22.9885 | + | 15.3604i | 0.795548 | + | 0.531568i | ||||
\(836\) | 0.662859 | − | 0.876264i | 0.0229255 | − | 0.0303062i | ||||
\(837\) | 13.2446 | + | 2.63451i | 0.457800 | + | 0.0910621i | ||||
\(838\) | −37.3627 | − | 21.4005i | −1.29067 | − | 0.739267i | ||||
\(839\) | −4.77355 | + | 11.5244i | −0.164801 | + | 0.397865i | −0.984609 | − | 0.174774i | \(-0.944080\pi\) |
0.819807 | + | 0.572639i | \(0.194080\pi\) | |||||||
\(840\) | 1.48710 | + | 2.17667i | 0.0513099 | + | 0.0751024i | ||||
\(841\) | 11.0959 | + | 26.7880i | 0.382619 | + | 0.923723i | ||||
\(842\) | 32.0187 | + | 4.10342i | 1.10344 | + | 0.141413i | ||||
\(843\) | 0.488541 | + | 0.731154i | 0.0168263 | + | 0.0251823i | ||||
\(844\) | 13.9439 | + | 40.1680i | 0.479969 | + | 1.38264i | ||||
\(845\) | 19.0361 | − | 3.78651i | 0.654860 | − | 0.130260i | ||||
\(846\) | 14.2958 | − | 42.5945i | 0.491500 | − | 1.46443i | ||||
\(847\) | 2.57159 | + | 2.57159i | 0.0883608 | + | 0.0883608i | ||||
\(848\) | −6.68164 | − | 5.69904i | −0.229449 | − | 0.195706i | ||||
\(849\) | 1.53266 | − | 1.53266i | 0.0526007 | − | 0.0526007i | ||||
\(850\) | 3.99636 | + | 8.03407i | 0.137074 | + | 0.275566i | ||||
\(851\) | −11.5051 | − | 57.8402i | −0.394391 | − | 1.98274i | ||||
\(852\) | −1.62881 | + | 1.44836i | −0.0558022 | + | 0.0496200i | ||||
\(853\) | 15.0593 | − | 10.0623i | 0.515620 | − | 0.344526i | −0.270379 | − | 0.962754i | \(-0.587149\pi\) |
0.785999 | + | 0.618228i | \(0.212149\pi\) | |||||||
\(854\) | 5.96522 | + | 7.71894i | 0.204126 | + | 0.264137i | ||||
\(855\) | −0.707383 | + | 0.293008i | −0.0241920 | + | 0.0100206i | ||||
\(856\) | 8.16091 | + | 7.99431i | 0.278934 | + | 0.273240i | ||||
\(857\) | 45.1567 | + | 18.7045i | 1.54252 | + | 0.638933i | 0.981945 | − | 0.189169i | \(-0.0605793\pi\) |
0.560577 | + | 0.828102i | \(0.310579\pi\) | |||||||
\(858\) | 7.70401 | − | 2.09269i | 0.263010 | − | 0.0714433i | ||||
\(859\) | −10.5662 | + | 53.1197i | −0.360513 | + | 1.81242i | 0.194872 | + | 0.980829i | \(0.437571\pi\) |
−0.555385 | + | 0.831593i | \(0.687429\pi\) | |||||||
\(860\) | −27.8469 | + | 16.3337i | −0.949572 | + | 0.556975i | ||||
\(861\) | 2.69515 | − | 4.03358i | 0.0918505 | − | 0.137464i | ||||
\(862\) | 15.0481 | + | 13.1056i | 0.512541 | + | 0.446379i | ||||
\(863\) | 9.30109i | 0.316613i | 0.987390 | + | 0.158306i | \(0.0506034\pi\) | ||||
−0.987390 | + | 0.158306i | \(0.949397\pi\) | |||||||
\(864\) | 12.0835 | − | 1.80260i | 0.411087 | − | 0.0613257i | ||||
\(865\) | 2.12703i | 0.0723211i | ||||||||
\(866\) | −12.4782 | + | 14.3278i | −0.424028 | + | 0.486877i | ||||
\(867\) | −2.49199 | + | 3.72952i | −0.0846324 | + | 0.126661i | ||||
\(868\) | 21.0833 | + | 5.49418i | 0.715613 | + | 0.186485i | ||||
\(869\) | −1.30373 | + | 6.55432i | −0.0442262 | + | 0.222340i | ||||
\(870\) | 0.0138886 | + | 0.0511292i | 0.000470867 | + | 0.00173344i | ||||
\(871\) | 75.2232 | + | 31.1585i | 2.54884 | + | 1.05576i | ||||
\(872\) | 9.23658 | − | 3.93799i | 0.312790 | − | 0.133357i | ||||
\(873\) | −13.9088 | + | 5.76123i | −0.470743 | + | 0.194988i | ||||
\(874\) | −1.45085 | + | 1.12122i | −0.0490758 | + | 0.0379259i | ||||
\(875\) | 16.6025 | − | 11.0934i | 0.561267 | − | 0.375027i | ||||
\(876\) | −0.422329 | + | 7.20181i | −0.0142692 | + | 0.243327i | ||||
\(877\) | 4.03688 | + | 20.2948i | 0.136316 | + | 0.685306i | 0.987140 | + | 0.159856i | \(0.0511030\pi\) |
−0.850824 | + | 0.525450i | \(0.823897\pi\) | |||||||
\(878\) | 11.6221 | − | 5.78115i | 0.392228 | − | 0.195104i | ||||
\(879\) | −0.537286 | + | 0.537286i | −0.0181222 | + | 0.0181222i | ||||
\(880\) | −10.7480 | − | 13.6153i | −0.362317 | − | 0.458973i | ||||
\(881\) | −21.4492 | − | 21.4492i | −0.722643 | − | 0.722643i | 0.246500 | − | 0.969143i | \(-0.420719\pi\) |
−0.969143 | + | 0.246500i | \(0.920719\pi\) | |||||||
\(882\) | 15.2254 | + | 5.11003i | 0.512666 | + | 0.172064i | ||||
\(883\) | −34.4043 | + | 6.84345i | −1.15780 | + | 0.230300i | −0.736381 | − | 0.676567i | \(-0.763467\pi\) |
−0.421417 | + | 0.906867i | \(0.638467\pi\) | |||||||
\(884\) | 9.83229 | − | 20.2884i | 0.330696 | − | 0.682372i | ||||
\(885\) | −2.52114 | − | 3.77315i | −0.0847472 | − | 0.126833i | ||||
\(886\) | −0.798091 | + | 6.22745i | −0.0268124 | + | 0.209215i | ||||
\(887\) | 8.28163 | + | 19.9936i | 0.278070 | + | 0.671320i | 0.999782 | − | 0.0208730i | \(-0.00664455\pi\) |
−0.721712 | + | 0.692193i | \(0.756645\pi\) | |||||||
\(888\) | 7.29878 | + | 4.76876i | 0.244931 | + | 0.160029i | ||||
\(889\) | 1.96287 | − | 4.73879i | 0.0658326 | − | 0.158934i | ||||
\(890\) | −16.0624 | + | 28.0431i | −0.538412 | + | 0.940005i | ||||
\(891\) | 22.8320 | + | 4.54158i | 0.764902 | + | 0.152148i | ||||
\(892\) | −4.98399 | − | 35.9458i | −0.166876 | − | 1.20355i | ||||
\(893\) | −1.69705 | − | 1.13394i | −0.0567898 | − | 0.0379457i | ||||
\(894\) | 0.465499 | + | 6.74671i | 0.0155686 | + | 0.225644i | ||||
\(895\) | 13.9452 | 0.466138 | ||||||||
\(896\) | 19.6322 | − | 1.76203i | 0.655865 | − | 0.0588653i | ||||
\(897\) | −13.3226 | −0.444828 | ||||||||
\(898\) | 1.20386 | + | 17.4481i | 0.0401733 | + | 0.582252i | ||||
\(899\) | 0.364088 | + | 0.243276i | 0.0121430 | + | 0.00811371i | ||||
\(900\) | −2.27375 | − | 16.3988i | −0.0757915 | − | 0.546627i | ||||
\(901\) | 4.72769 | + | 0.940395i | 0.157502 | + | 0.0313291i | ||||
\(902\) | −15.8655 | + | 27.6994i | −0.528264 | + | 0.922288i | ||||
\(903\) | −2.72851 | + | 6.58721i | −0.0907992 | + | 0.219209i | ||||
\(904\) | 11.2061 | − | 17.1513i | 0.372708 | − | 0.570445i | ||||
\(905\) | 1.24070 | + | 2.99531i | 0.0412423 | + | 0.0995676i | ||||
\(906\) | 0.701957 | − | 5.47732i | 0.0233210 | − | 0.181972i | ||||
\(907\) | 18.4680 | + | 27.6393i | 0.613220 | + | 0.917748i | 0.999990 | − | 0.00442801i | \(-0.00140948\pi\) |
−0.386771 | + | 0.922176i | \(0.626409\pi\) | |||||||
\(908\) | −21.2399 | + | 43.8273i | −0.704871 | + | 1.45446i | ||||
\(909\) | 14.3149 | − | 2.84742i | 0.474796 | − | 0.0944428i | ||||
\(910\) | −17.4211 | − | 5.84696i | −0.577504 | − | 0.193825i | ||||
\(911\) | −38.1083 | − | 38.1083i | −1.26258 | − | 1.26258i | −0.949836 | − | 0.312748i | \(-0.898751\pi\) |
−0.312748 | − | 0.949836i | \(-0.601249\pi\) | |||||||
\(912\) | 0.0316842 | − | 0.269221i | 0.00104917 | − | 0.00891479i | ||||
\(913\) | −12.1564 | + | 12.1564i | −0.402317 | + | 0.402317i | ||||
\(914\) | −17.1952 | + | 8.55337i | −0.568768 | + | 0.282920i | ||||
\(915\) | −0.413216 | − | 2.07738i | −0.0136605 | − | 0.0686760i | ||||
\(916\) | −1.94746 | + | 33.2094i | −0.0643460 | + | 1.09727i | ||||
\(917\) | 11.1808 | − | 7.47077i | 0.369223 | − | 0.246707i | ||||
\(918\) | −5.30602 | + | 4.10051i | −0.175125 | + | 0.135337i | ||||
\(919\) | 4.18590 | − | 1.73385i | 0.138080 | − | 0.0571946i | −0.312573 | − | 0.949894i | \(-0.601191\pi\) |
0.450653 | + | 0.892699i | \(0.351191\pi\) | |||||||
\(920\) | 11.3532 | + | 26.6291i | 0.374305 | + | 0.877934i | ||||
\(921\) | 6.65758 | + | 2.75766i | 0.219375 | + | 0.0908680i | ||||
\(922\) | −11.8602 | − | 43.6619i | −0.390595 | − | 1.43793i | ||||
\(923\) | 2.96414 | − | 14.9017i | 0.0975659 | − | 0.490497i | ||||
\(924\) | −3.70719 | − | 0.966071i | −0.121957 | − | 0.0317814i | ||||
\(925\) | 13.4386 | − | 20.1122i | 0.441857 | − | 0.661286i | ||||
\(926\) | −26.6317 | + | 30.5791i | −0.875173 | + | 1.00489i | ||||
\(927\) | − | 3.07142i | − | 0.100879i | ||||||
\(928\) | 0.384363 | + | 0.0959410i | 0.0126173 | + | 0.00314942i | ||||
\(929\) | − | 6.50934i | − | 0.213564i | −0.994282 | − | 0.106782i | \(-0.965945\pi\) | ||
0.994282 | − | 0.106782i | \(-0.0340548\pi\) | |||||||
\(930\) | −3.56727 | − | 3.10679i | −0.116975 | − | 0.101876i | ||||
\(931\) | 0.405325 | − | 0.606611i | 0.0132840 | − | 0.0198809i | ||||
\(932\) | 14.8275 | − | 8.69713i | 0.485691 | − | 0.284884i | ||||
\(933\) | −2.23956 | + | 11.2590i | −0.0733199 | + | 0.368604i | ||||
\(934\) | −8.72977 | + | 2.37133i | −0.285647 | + | 0.0775922i | ||||
\(935\) | 8.79643 | + | 3.64360i | 0.287674 | + | 0.119159i | ||||
\(936\) | −29.1085 | + | 29.7151i | −0.951440 | + | 0.971269i | ||||
\(937\) | −19.5113 | + | 8.08185i | −0.637407 | + | 0.264023i | −0.677897 | − | 0.735157i | \(-0.737108\pi\) |
0.0404894 | + | 0.999180i | \(0.487108\pi\) | |||||||
\(938\) | −23.8923 | − | 30.9164i | −0.780111 | − | 1.00946i | ||||
\(939\) | 3.01284 | − | 2.01312i | 0.0983204 | − | 0.0656956i | ||||
\(940\) | −24.0799 | + | 21.4121i | −0.785399 | + | 0.698387i | ||||
\(941\) | 10.7030 | + | 53.8075i | 0.348907 | + | 1.75408i | 0.613480 | + | 0.789710i | \(0.289769\pi\) |
−0.264573 | + | 0.964366i | \(0.585231\pi\) | |||||||
\(942\) | −1.80348 | − | 3.62563i | −0.0587607 | − | 0.118129i | ||||
\(943\) | 37.6685 | − | 37.6685i | 1.22666 | − | 1.22666i | ||||
\(944\) | −33.8246 | + | 2.68452i | −1.10090 | + | 0.0873735i | ||||
\(945\) | 3.86487 | + | 3.86487i | 0.125724 | + | 0.125724i | ||||
\(946\) | 14.9279 | − | 44.4779i | 0.485348 | − | 1.44610i | ||||
\(947\) | 42.5123 | − | 8.45622i | 1.38146 | − | 0.274790i | 0.552230 | − | 0.833692i | \(-0.313777\pi\) |
0.829234 | + | 0.558901i | \(0.188777\pi\) | |||||||
\(948\) | 0.540695 | + | 1.55757i | 0.0175610 | + | 0.0505876i | ||||
\(949\) | −27.9388 | − | 41.8133i | −0.906931 | − | 1.35732i | ||||
\(950\) | −0.745980 | − | 0.0956025i | −0.0242028 | − | 0.00310176i | ||||
\(951\) | −1.07599 | − | 2.59766i | −0.0348913 | − | 0.0842349i | ||||
\(952\) | −8.93332 | + | 6.10324i | −0.289530 | + | 0.197807i | ||||
\(953\) | 11.3628 | − | 27.4322i | 0.368077 | − | 0.888616i | −0.625989 | − | 0.779832i | \(-0.715304\pi\) |
0.994065 | − | 0.108784i | \(-0.0346956\pi\) | |||||||
\(954\) | −7.71732 | − | 4.42030i | −0.249858 | − | 0.143112i | ||||
\(955\) | −18.8835 | − | 3.75616i | −0.611055 | − | 0.121546i | ||||
\(956\) | 18.7003 | − | 24.7208i | 0.604811 | − | 0.799527i | ||||
\(957\) | −0.0640196 | − | 0.0427765i | −0.00206946 | − | 0.00138277i | ||||
\(958\) | 53.9895 | − | 3.72509i | 1.74432 | − | 0.120352i | ||||
\(959\) | −7.69531 | −0.248494 | ||||||||
\(960\) | −3.98685 | − | 1.55587i | −0.128675 | − | 0.0502156i | ||||
\(961\) | −8.09657 | −0.261180 | ||||||||
\(962\) | −60.6310 | + | 4.18333i | −1.95482 | + | 0.134876i | ||||
\(963\) | 9.61949 | + | 6.42754i | 0.309984 | + | 0.207124i | ||||
\(964\) | 47.1779 | + | 35.6882i | 1.51950 | + | 1.14944i | ||||
\(965\) | −13.3182 | − | 2.64916i | −0.428729 | − | 0.0852795i | ||||
\(966\) | 5.54771 | + | 3.17760i | 0.178495 | + | 0.102237i | ||||
\(967\) | 12.7234 | − | 30.7169i | 0.409155 | − | 0.987788i | −0.576205 | − | 0.817305i | \(-0.695467\pi\) |
0.985361 | − | 0.170483i | \(-0.0545329\pi\) | |||||||
\(968\) | −5.80225 | − | 1.09206i | −0.186491 | − | 0.0351002i | ||||
\(969\) | 0.0569399 | + | 0.137465i | 0.00182917 | + | 0.00441602i | ||||
\(970\) | 10.7096 | + | 1.37250i | 0.343863 | + | 0.0440684i | ||||
\(971\) | 1.52250 | + | 2.27858i | 0.0488594 | + | 0.0731232i | 0.855095 | − | 0.518471i | \(-0.173499\pi\) |
−0.806236 | + | 0.591594i | \(0.798499\pi\) | |||||||
\(972\) | 17.6675 | − | 6.13308i | 0.566684 | − | 0.196719i | ||||
\(973\) | −13.3727 | + | 2.65999i | −0.428708 | + | 0.0852753i | ||||
\(974\) | 0.342324 | − | 1.01996i | 0.0109688 | − | 0.0326816i | ||||
\(975\) | −3.86395 | − | 3.86395i | −0.123746 | − | 0.123746i | ||||
\(976\) | −15.0653 | − | 4.88404i | −0.482230 | − | 0.156334i | ||||
\(977\) | −24.7249 | + | 24.7249i | −0.791018 | + | 0.791018i | −0.981660 | − | 0.190642i | \(-0.938943\pi\) |
0.190642 | + | 0.981660i | \(0.438943\pi\) | |||||||
\(978\) | 0.182500 | + | 0.366888i | 0.00583570 | + | 0.0117318i | ||||
\(979\) | −9.16243 | − | 46.0626i | −0.292832 | − | 1.47217i | ||||
\(980\) | −7.65376 | − | 8.60734i | −0.244490 | − | 0.274951i | ||||
\(981\) | 8.45491 | − | 5.64939i | 0.269944 | − | 0.180371i | ||||
\(982\) | −16.7384 | − | 21.6593i | −0.534143 | − | 0.691176i | ||||
\(983\) | 8.66961 | − | 3.59107i | 0.276517 | − | 0.114537i | −0.240115 | − | 0.970744i | \(-0.577185\pi\) |
0.516633 | + | 0.856207i | \(0.327185\pi\) | |||||||
\(984\) | 0.0812152 | + | 7.87517i | 0.00258905 | + | 0.251051i | ||||
\(985\) | 21.8991 | + | 9.07090i | 0.697763 | + | 0.289023i | ||||
\(986\) | −0.209840 | + | 0.0570003i | −0.00668267 | + | 0.00181526i | ||||
\(987\) | −1.38836 | + | 6.97978i | −0.0441921 | + | 0.222169i | ||||
\(988\) | 0.956043 | + | 1.62993i | 0.0304158 | + | 0.0518551i | ||||
\(989\) | −43.4986 | + | 65.1002i | −1.38317 | + | 2.07007i | ||||
\(990\) | −13.2472 | − | 11.5372i | −0.421024 | − | 0.366675i | ||||
\(991\) | 39.1011i | 1.24209i | 0.783776 | + | 0.621044i | \(0.213291\pi\) | ||||
−0.783776 | + | 0.621044i | \(0.786709\pi\) | |||||||
\(992\) | −33.2933 | + | 11.9435i | −1.05706 | + | 0.379207i | ||||
\(993\) | − | 1.98937i | − | 0.0631308i | ||||||
\(994\) | −4.78855 | + | 5.49831i | −0.151884 | + | 0.174396i | ||||
\(995\) | 5.43630 | − | 8.13600i | 0.172342 | − | 0.257929i | ||||
\(996\) | −1.06959 | + | 4.10444i | −0.0338914 | + | 0.130054i | ||||
\(997\) | 7.93159 | − | 39.8748i | 0.251196 | − | 1.26285i | −0.624898 | − | 0.780706i | \(-0.714860\pi\) |
0.876094 | − | 0.482140i | \(-0.160140\pi\) | |||||||
\(998\) | −10.4157 | − | 38.3444i | −0.329705 | − | 1.21377i | ||||
\(999\) | 16.7008 | + | 6.91769i | 0.528389 | + | 0.218866i |
(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 | 64.2.i.a.5.4 | ✓ | 56 | |
3.2 | odd | 2 | 576.2.bd.a.325.4 | 56 | |||
4.3 | odd | 2 | 256.2.i.a.113.3 | 56 | |||
8.3 | odd | 2 | 512.2.i.a.481.5 | 56 | |||
8.5 | even | 2 | 512.2.i.b.481.3 | 56 | |||
64.13 | even | 16 | inner | 64.2.i.a.13.4 | yes | 56 | |
64.19 | odd | 16 | 512.2.i.a.33.5 | 56 | |||
64.45 | even | 16 | 512.2.i.b.33.3 | 56 | |||
64.51 | odd | 16 | 256.2.i.a.145.3 | 56 | |||
192.77 | odd | 16 | 576.2.bd.a.397.4 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.5.4 | ✓ | 56 | 1.1 | even | 1 | trivial | |
64.2.i.a.13.4 | yes | 56 | 64.13 | even | 16 | inner | |
256.2.i.a.113.3 | 56 | 4.3 | odd | 2 | |||
256.2.i.a.145.3 | 56 | 64.51 | odd | 16 | |||
512.2.i.a.33.5 | 56 | 64.19 | odd | 16 | |||
512.2.i.a.481.5 | 56 | 8.3 | odd | 2 | |||
512.2.i.b.33.3 | 56 | 64.45 | even | 16 | |||
512.2.i.b.481.3 | 56 | 8.5 | even | 2 | |||
576.2.bd.a.325.4 | 56 | 3.2 | odd | 2 | |||
576.2.bd.a.397.4 | 56 | 192.77 | odd | 16 |