Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [471,2,Mod(19,471)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(471, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 62]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("471.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 471 = 3 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 471.q (of order \(39\), degree \(24\), 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: | \(3.76095393520\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{39})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{39}]$ |
Embedding invariants
Embedding label | 19.12 | ||
Character | \(\chi\) | \(=\) | 471.19 |
Dual form | 471.2.q.b.124.12 |
$q$-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 \(\left(\mathbb{Z}/471\mathbb{Z}\right)^\times\).
\(n\) | \(158\) | \(319\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{31}{39}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.97256 | + | 0.486192i | 1.39481 | + | 0.343790i | 0.863911 | − | 0.503645i | \(-0.168008\pi\) |
0.530899 | + | 0.847435i | \(0.321854\pi\) | |||||||
\(3\) | −0.845190 | − | 0.534466i | −0.487971 | − | 0.308574i | ||||
\(4\) | 1.88370 | + | 0.988640i | 0.941848 | + | 0.494320i | ||||
\(5\) | 2.48102 | − | 1.86436i | 1.10954 | − | 0.833769i | 0.122223 | − | 0.992503i | \(-0.460998\pi\) |
0.987321 | + | 0.158734i | \(0.0507412\pi\) | |||||||
\(6\) | −1.40733 | − | 1.46519i | −0.574542 | − | 0.598161i | ||||
\(7\) | 1.36867 | − | 0.718334i | 0.517309 | − | 0.271505i | −0.185799 | − | 0.982588i | \(-0.559487\pi\) |
0.703108 | + | 0.711083i | \(0.251795\pi\) | |||||||
\(8\) | 0.193693 | + | 0.171597i | 0.0684808 | + | 0.0606687i | ||||
\(9\) | 0.428693 | + | 0.903450i | 0.142898 | + | 0.301150i | ||||
\(10\) | 5.80039 | − | 2.47132i | 1.83425 | − | 0.781499i | ||||
\(11\) | −2.02107 | − | 2.10416i | −0.609376 | − | 0.634428i | 0.343007 | − | 0.939333i | \(-0.388555\pi\) |
−0.952383 | + | 0.304905i | \(0.901375\pi\) | |||||||
\(12\) | −1.06369 | − | 1.84236i | −0.307060 | − | 0.531843i | ||||
\(13\) | −2.62302 | + | 4.54320i | −0.727494 | + | 1.26006i | 0.230446 | + | 0.973085i | \(0.425982\pi\) |
−0.957939 | + | 0.286971i | \(0.907352\pi\) | |||||||
\(14\) | 3.04903 | − | 0.751519i | 0.814889 | − | 0.200852i | ||||
\(15\) | −3.09337 | + | 0.249723i | −0.798705 | + | 0.0644781i | ||||
\(16\) | −2.11833 | − | 3.06893i | −0.529583 | − | 0.767233i | ||||
\(17\) | 5.45492 | − | 4.09911i | 1.32301 | − | 0.994180i | 0.324174 | − | 0.945997i | \(-0.394914\pi\) |
0.998839 | − | 0.0481823i | \(-0.0153429\pi\) | |||||||
\(18\) | 0.406371 | + | 1.99054i | 0.0957826 | + | 0.469174i | ||||
\(19\) | −0.471643 | + | 2.31026i | −0.108202 | + | 0.530010i | 0.889171 | + | 0.457575i | \(0.151282\pi\) |
−0.997373 | + | 0.0724347i | \(0.976923\pi\) | |||||||
\(20\) | 6.51667 | − | 1.05906i | 1.45717 | − | 0.236813i | ||||
\(21\) | −1.54071 | − | 0.124379i | −0.336211 | − | 0.0271418i | ||||
\(22\) | −2.96366 | − | 5.13321i | −0.631854 | − | 1.09440i | ||||
\(23\) | 2.01878 | + | 2.92471i | 0.420945 | + | 0.609845i | 0.974884 | − | 0.222713i | \(-0.0714912\pi\) |
−0.553939 | + | 0.832557i | \(0.686876\pi\) | |||||||
\(24\) | −0.0719946 | − | 0.248554i | −0.0146958 | − | 0.0507359i | ||||
\(25\) | 1.28851 | − | 4.44845i | 0.257702 | − | 0.889689i | ||||
\(26\) | −7.38292 | + | 7.68644i | −1.44791 | + | 1.50743i | ||||
\(27\) | 0.120537 | − | 0.992709i | 0.0231973 | − | 0.191047i | ||||
\(28\) | 3.28833 | 0.621437 | ||||||||
\(29\) | −0.504426 | + | 4.15432i | −0.0936695 | + | 0.771438i | 0.867874 | + | 0.496785i | \(0.165486\pi\) |
−0.961543 | + | 0.274653i | \(0.911437\pi\) | |||||||
\(30\) | −6.22327 | − | 1.01138i | −1.13621 | − | 0.184652i | ||||
\(31\) | 2.64319 | + | 3.23732i | 0.474731 | + | 0.581440i | 0.955345 | − | 0.295492i | \(-0.0954837\pi\) |
−0.480614 | + | 0.876932i | \(0.659586\pi\) | |||||||
\(32\) | −2.86996 | − | 7.56747i | −0.507343 | − | 1.33775i | ||||
\(33\) | 0.583589 | + | 2.85861i | 0.101590 | + | 0.497620i | ||||
\(34\) | 12.7531 | − | 5.43359i | 2.18714 | − | 0.931854i | ||||
\(35\) | 2.05646 | − | 4.33390i | 0.347605 | − | 0.732563i | ||||
\(36\) | −0.0856607 | + | 2.12565i | −0.0142768 | + | 0.354275i | ||||
\(37\) | 5.47005 | + | 4.11047i | 0.899270 | + | 0.675758i | 0.946353 | − | 0.323133i | \(-0.104736\pi\) |
−0.0470832 | + | 0.998891i | \(0.514993\pi\) | |||||||
\(38\) | −2.05357 | + | 4.32782i | −0.333134 | + | 0.702064i | ||||
\(39\) | 4.64513 | − | 2.43795i | 0.743816 | − | 0.390385i | ||||
\(40\) | 0.800474 | + | 0.0646210i | 0.126566 | + | 0.0102175i | ||||
\(41\) | −6.31796 | + | 9.15314i | −0.986699 | + | 1.42948i | −0.0853684 | + | 0.996349i | \(0.527207\pi\) |
−0.901331 | + | 0.433131i | \(0.857409\pi\) | |||||||
\(42\) | −2.97867 | − | 0.994428i | −0.459619 | − | 0.153444i | ||||
\(43\) | −1.87651 | + | 1.18664i | −0.286166 | + | 0.180960i | −0.669834 | − | 0.742511i | \(-0.733635\pi\) |
0.383669 | + | 0.923471i | \(0.374661\pi\) | |||||||
\(44\) | −1.72683 | − | 5.96171i | −0.260329 | − | 0.898761i | ||||
\(45\) | 2.74795 | + | 1.44224i | 0.409641 | + | 0.214996i | ||||
\(46\) | 2.56020 | + | 6.75069i | 0.377481 | + | 0.995334i | ||||
\(47\) | −7.18090 | − | 3.05950i | −1.04744 | − | 0.446273i | −0.201467 | − | 0.979495i | \(-0.564571\pi\) |
−0.845975 | + | 0.533222i | \(0.820981\pi\) | |||||||
\(48\) | 0.150153 | + | 3.72601i | 0.0216727 | + | 0.537802i | ||||
\(49\) | −2.61920 | + | 3.79456i | −0.374171 | + | 0.542080i | ||||
\(50\) | 4.70446 | − | 8.14836i | 0.665311 | − | 1.15235i | ||||
\(51\) | −6.80128 | + | 0.549056i | −0.952370 | + | 0.0768832i | ||||
\(52\) | −9.43255 | + | 5.96478i | −1.30806 | + | 0.827167i | ||||
\(53\) | 5.59251 | − | 1.86705i | 0.768190 | − | 0.256459i | 0.0945508 | − | 0.995520i | \(-0.469859\pi\) |
0.673639 | + | 0.739061i | \(0.264730\pi\) | |||||||
\(54\) | 0.720413 | − | 1.89957i | 0.0980358 | − | 0.258499i | ||||
\(55\) | −8.93723 | − | 1.45244i | −1.20510 | − | 0.195847i | ||||
\(56\) | 0.388366 | + | 0.0957236i | 0.0518976 | + | 0.0127916i | ||||
\(57\) | 1.63338 | − | 1.70053i | 0.216347 | − | 0.225241i | ||||
\(58\) | −3.01481 | + | 7.94939i | −0.395864 | + | 1.04381i | ||||
\(59\) | −4.15848 | + | 3.68410i | −0.541389 | + | 0.479628i | −0.888934 | − | 0.458035i | \(-0.848554\pi\) |
0.347546 | + | 0.937663i | \(0.387015\pi\) | |||||||
\(60\) | −6.07385 | − | 2.58783i | −0.784131 | − | 0.334087i | ||||
\(61\) | 2.13863 | − | 10.4757i | 0.273824 | − | 1.34128i | −0.577395 | − | 0.816465i | \(-0.695931\pi\) |
0.851218 | − | 0.524812i | \(-0.175864\pi\) | |||||||
\(62\) | 3.63989 | + | 7.67091i | 0.462266 | + | 0.974206i | ||||
\(63\) | 1.23572 | + | 0.928582i | 0.155686 | + | 0.116990i | ||||
\(64\) | −1.08296 | − | 8.91897i | −0.135370 | − | 1.11487i | ||||
\(65\) | 1.96242 | + | 16.1620i | 0.243409 | + | 2.00465i | ||||
\(66\) | −0.238669 | + | 5.92251i | −0.0293781 | + | 0.729011i | ||||
\(67\) | −7.92816 | − | 7.02374i | −0.968579 | − | 0.858086i | 0.0213329 | − | 0.999772i | \(-0.493209\pi\) |
−0.989912 | + | 0.141687i | \(0.954747\pi\) | |||||||
\(68\) | 14.3280 | − | 2.32852i | 1.73752 | − | 0.282374i | ||||
\(69\) | −0.143097 | − | 3.55091i | −0.0172268 | − | 0.427479i | ||||
\(70\) | 6.16360 | − | 7.54904i | 0.736691 | − | 0.902283i | ||||
\(71\) | 9.71557 | − | 3.24353i | 1.15303 | − | 0.384937i | 0.325048 | − | 0.945697i | \(-0.394619\pi\) |
0.827978 | + | 0.560761i | \(0.189491\pi\) | |||||||
\(72\) | −0.0719946 | + | 0.248554i | −0.00848465 | + | 0.0292924i | ||||
\(73\) | −0.780396 | − | 0.493492i | −0.0913384 | − | 0.0577589i | 0.488016 | − | 0.872835i | \(-0.337721\pi\) |
−0.579354 | + | 0.815076i | \(0.696695\pi\) | |||||||
\(74\) | 8.79151 | + | 10.7676i | 1.02199 | + | 1.25171i | ||||
\(75\) | −3.46658 | + | 3.07112i | −0.400286 | + | 0.354622i | ||||
\(76\) | −3.17245 | + | 3.88554i | −0.363905 | + | 0.445702i | ||||
\(77\) | −4.27767 | − | 1.42810i | −0.487486 | − | 0.162747i | ||||
\(78\) | 10.3481 | − | 2.55058i | 1.17169 | − | 0.288796i | ||||
\(79\) | −14.1027 | + | 3.47601i | −1.58668 | + | 0.391082i | −0.931311 | − | 0.364225i | \(-0.881334\pi\) |
−0.655371 | + | 0.755307i | \(0.727488\pi\) | |||||||
\(80\) | −10.9772 | − | 3.66473i | −1.22729 | − | 0.409730i | ||||
\(81\) | −0.632445 | + | 0.774605i | −0.0702717 | + | 0.0860672i | ||||
\(82\) | −16.9127 | + | 14.9834i | −1.86770 | + | 1.65464i | ||||
\(83\) | −8.17297 | − | 10.0101i | −0.897100 | − | 1.09875i | −0.994628 | − | 0.103515i | \(-0.966991\pi\) |
0.0975284 | − | 0.995233i | \(-0.468906\pi\) | |||||||
\(84\) | −2.77927 | − | 1.75750i | −0.303243 | − | 0.191759i | ||||
\(85\) | 5.89153 | − | 20.3399i | 0.639026 | − | 2.20617i | ||||
\(86\) | −4.27847 | + | 1.42836i | −0.461359 | + | 0.154024i | ||||
\(87\) | 2.64668 | − | 3.24159i | 0.283754 | − | 0.347535i | ||||
\(88\) | −0.0304001 | − | 0.754370i | −0.00324066 | − | 0.0804161i | ||||
\(89\) | 2.80827 | − | 0.456388i | 0.297676 | − | 0.0483770i | −0.00973915 | − | 0.999953i | \(-0.503100\pi\) |
0.307415 | + | 0.951576i | \(0.400536\pi\) | |||||||
\(90\) | 4.71930 | + | 4.18093i | 0.497458 | + | 0.440709i | ||||
\(91\) | −0.326513 | + | 8.10235i | −0.0342279 | + | 0.849357i | ||||
\(92\) | 0.911286 | + | 7.50512i | 0.0950082 | + | 0.782463i | ||||
\(93\) | −0.503761 | − | 4.14885i | −0.0522376 | − | 0.430215i | ||||
\(94\) | −12.6772 | − | 9.52633i | −1.30756 | − | 0.982566i | ||||
\(95\) | 3.13701 | + | 6.61111i | 0.321850 | + | 0.678286i | ||||
\(96\) | −1.61889 | + | 7.92985i | −0.165227 | + | 0.809337i | ||||
\(97\) | −7.31869 | − | 3.11820i | −0.743100 | − | 0.316605i | −0.0129721 | − | 0.999916i | \(-0.504129\pi\) |
−0.730128 | + | 0.683311i | \(0.760540\pi\) | |||||||
\(98\) | −7.01141 | + | 6.21156i | −0.708259 | + | 0.627463i | ||||
\(99\) | 1.03458 | − | 2.72797i | 0.103980 | − | 0.274172i | ||||
\(100\) | 6.82507 | − | 7.10565i | 0.682507 | − | 0.710565i | ||||
\(101\) | 10.4984 | + | 2.58763i | 1.04463 | + | 0.257479i | 0.724055 | − | 0.689743i | \(-0.242276\pi\) |
0.320579 | + | 0.947222i | \(0.396122\pi\) | |||||||
\(102\) | −13.6829 | − | 2.22368i | −1.35481 | − | 0.220177i | ||||
\(103\) | −2.47791 | + | 6.53371i | −0.244156 | + | 0.643786i | −0.999939 | − | 0.0110360i | \(-0.996487\pi\) |
0.755783 | + | 0.654822i | \(0.227256\pi\) | |||||||
\(104\) | −1.28766 | + | 0.429883i | −0.126265 | + | 0.0421535i | ||||
\(105\) | −4.05442 | + | 2.56386i | −0.395671 | + | 0.250207i | ||||
\(106\) | 11.9393 | − | 0.963840i | 1.15965 | − | 0.0936164i | ||||
\(107\) | −6.69845 | + | 11.6021i | −0.647564 | + | 1.12161i | 0.336139 | + | 0.941812i | \(0.390879\pi\) |
−0.983703 | + | 0.179801i | \(0.942455\pi\) | |||||||
\(108\) | 1.20849 | − | 1.75079i | 0.116287 | − | 0.168470i | ||||
\(109\) | 0.175142 | + | 4.34609i | 0.0167755 | + | 0.416280i | 0.985658 | + | 0.168757i | \(0.0539755\pi\) |
−0.968882 | + | 0.247523i | \(0.920384\pi\) | |||||||
\(110\) | −16.9231 | − | 7.21024i | −1.61355 | − | 0.687469i | ||||
\(111\) | −2.42632 | − | 6.39769i | −0.230296 | − | 0.607241i | ||||
\(112\) | −5.10382 | − | 2.67869i | −0.482265 | − | 0.253112i | ||||
\(113\) | 3.27460 | + | 11.3052i | 0.308048 | + | 1.06351i | 0.953920 | + | 0.300060i | \(0.0970066\pi\) |
−0.645872 | + | 0.763445i | \(0.723506\pi\) | |||||||
\(114\) | 4.04873 | − | 2.56026i | 0.379198 | − | 0.239791i | ||||
\(115\) | 10.4614 | + | 3.49252i | 0.975527 | + | 0.325679i | ||||
\(116\) | −5.05731 | + | 7.32678i | −0.469559 | + | 0.680274i | ||||
\(117\) | −5.22902 | − | 0.422130i | −0.483423 | − | 0.0390260i | ||||
\(118\) | −9.99404 | + | 5.24527i | −0.920026 | + | 0.482867i | ||||
\(119\) | 4.52147 | − | 9.52879i | 0.414482 | − | 0.873503i | ||||
\(120\) | −0.642015 | − | 0.482443i | −0.0586077 | − | 0.0440408i | ||||
\(121\) | 0.100173 | − | 2.48577i | 0.00910665 | − | 0.225979i | ||||
\(122\) | 9.31179 | − | 19.6242i | 0.843049 | − | 1.77669i | ||||
\(123\) | 10.2319 | − | 4.35941i | 0.922581 | − | 0.393075i | ||||
\(124\) | 1.77842 | + | 8.71129i | 0.159707 | + | 0.782297i | ||||
\(125\) | 0.405753 | + | 1.06988i | 0.0362916 | + | 0.0956932i | ||||
\(126\) | 1.98606 | + | 2.43248i | 0.176932 | + | 0.216703i | ||||
\(127\) | 6.62377 | + | 1.07647i | 0.587764 | + | 0.0955210i | 0.447018 | − | 0.894525i | \(-0.352486\pi\) |
0.140746 | + | 0.990046i | \(0.455050\pi\) | |||||||
\(128\) | 0.249025 | − | 2.05091i | 0.0220109 | − | 0.181276i | ||||
\(129\) | 2.22023 | 0.195480 | ||||||||
\(130\) | −3.98685 | + | 32.8346i | −0.349670 | + | 2.87979i | ||||
\(131\) | 9.22784 | − | 9.60720i | 0.806240 | − | 0.839385i | −0.183387 | − | 0.983041i | \(-0.558706\pi\) |
0.989628 | + | 0.143656i | \(0.0458857\pi\) | |||||||
\(132\) | −1.72683 | + | 5.96171i | −0.150301 | + | 0.518900i | ||||
\(133\) | 1.01401 | + | 3.50078i | 0.0879262 | + | 0.303556i | ||||
\(134\) | −12.2239 | − | 17.7093i | −1.05598 | − | 1.52985i | ||||
\(135\) | −1.55172 | − | 2.68765i | −0.133551 | − | 0.231316i | ||||
\(136\) | 1.75997 | + | 0.142080i | 0.150916 | + | 0.0121832i | ||||
\(137\) | 8.05644 | − | 1.30930i | 0.688308 | − | 0.111861i | 0.193809 | − | 0.981039i | \(-0.437916\pi\) |
0.494499 | + | 0.869178i | \(0.335352\pi\) | |||||||
\(138\) | 1.44416 | − | 7.07395i | 0.122935 | − | 0.602175i | ||||
\(139\) | −2.48630 | − | 12.1787i | −0.210886 | − | 1.03299i | −0.938044 | − | 0.346516i | \(-0.887365\pi\) |
0.727159 | − | 0.686470i | \(-0.240840\pi\) | |||||||
\(140\) | 8.15841 | − | 6.13065i | 0.689512 | − | 0.518134i | ||||
\(141\) | 4.43403 | + | 6.42380i | 0.373413 | + | 0.540982i | ||||
\(142\) | 20.7415 | − | 1.67443i | 1.74059 | − | 0.140515i | ||||
\(143\) | 14.8609 | − | 3.66289i | 1.24273 | − | 0.306306i | ||||
\(144\) | 1.86451 | − | 3.22943i | 0.155376 | − | 0.269120i | ||||
\(145\) | 6.49367 | + | 11.2474i | 0.539270 | + | 0.934043i | ||||
\(146\) | −1.29944 | − | 1.35287i | −0.107543 | − | 0.111964i | ||||
\(147\) | 4.24178 | − | 1.80725i | 0.349856 | − | 0.149060i | ||||
\(148\) | 6.24013 | + | 13.1508i | 0.512935 | + | 1.08099i | ||||
\(149\) | 9.08287 | + | 8.04672i | 0.744097 | + | 0.659213i | 0.947454 | − | 0.319892i | \(-0.103647\pi\) |
−0.203357 | + | 0.979105i | \(0.565185\pi\) | |||||||
\(150\) | −8.33118 | + | 4.37254i | −0.680238 | + | 0.357017i | ||||
\(151\) | 5.45086 | + | 5.67494i | 0.443584 | + | 0.461820i | 0.905030 | − | 0.425348i | \(-0.139848\pi\) |
−0.461445 | + | 0.887169i | \(0.652669\pi\) | |||||||
\(152\) | −0.487787 | + | 0.366548i | −0.0395648 | + | 0.0297310i | ||||
\(153\) | 6.04183 | + | 3.17099i | 0.488453 | + | 0.256360i | ||||
\(154\) | −7.74363 | − | 4.89678i | −0.624000 | − | 0.394593i | ||||
\(155\) | 12.5933 | + | 3.10398i | 1.01152 | + | 0.249318i | ||||
\(156\) | 11.1603 | 0.893537 | ||||||||
\(157\) | 6.09269 | − | 10.9489i | 0.486250 | − | 0.873820i | ||||
\(158\) | −29.5085 | −2.34757 | ||||||||
\(159\) | −5.72461 | − | 1.41099i | −0.453991 | − | 0.111899i | ||||
\(160\) | −21.2290 | − | 13.4244i | −1.67830 | − | 1.06129i | ||||
\(161\) | 4.86397 | + | 2.55281i | 0.383335 | + | 0.201190i | ||||
\(162\) | −1.62414 | + | 1.22046i | −0.127605 | + | 0.0958887i | ||||
\(163\) | −4.11920 | − | 4.28854i | −0.322641 | − | 0.335905i | 0.540053 | − | 0.841631i | \(-0.318404\pi\) |
−0.862694 | + | 0.505726i | \(0.831225\pi\) | |||||||
\(164\) | −20.9503 | + | 10.9955i | −1.63594 | + | 0.858608i | ||||
\(165\) | 6.77738 | + | 6.00423i | 0.527618 | + | 0.467429i | ||||
\(166\) | −11.2548 | − | 23.7191i | −0.873545 | − | 1.84096i | ||||
\(167\) | 14.8231 | − | 6.31554i | 1.14705 | − | 0.488711i | 0.267046 | − | 0.963684i | \(-0.413952\pi\) |
0.880000 | + | 0.474973i | \(0.157542\pi\) | |||||||
\(168\) | −0.277082 | − | 0.288473i | −0.0213773 | − | 0.0222562i | ||||
\(169\) | −7.26043 | − | 12.5754i | −0.558494 | − | 0.967341i | ||||
\(170\) | 21.5105 | − | 37.2573i | 1.64978 | − | 2.85750i | ||||
\(171\) | −2.28940 | + | 0.564285i | −0.175074 | + | 0.0431520i | ||||
\(172\) | −4.70794 | + | 0.380064i | −0.358977 | + | 0.0289796i | ||||
\(173\) | −1.38047 | − | 1.99996i | −0.104955 | − | 0.152054i | 0.766987 | − | 0.641663i | \(-0.221755\pi\) |
−0.871942 | + | 0.489608i | \(0.837140\pi\) | |||||||
\(174\) | 6.79677 | − | 5.10744i | 0.515261 | − | 0.387194i | ||||
\(175\) | −1.43193 | − | 7.01404i | −0.108243 | − | 0.530212i | ||||
\(176\) | −2.17622 | + | 10.6598i | −0.164039 | + | 0.803515i | ||||
\(177\) | 5.48373 | − | 0.891193i | 0.412183 | − | 0.0669862i | ||||
\(178\) | 5.76137 | + | 0.465106i | 0.431833 | + | 0.0348612i | ||||
\(179\) | −1.98917 | − | 3.44534i | −0.148677 | − | 0.257517i | 0.782061 | − | 0.623201i | \(-0.214168\pi\) |
−0.930739 | + | 0.365684i | \(0.880835\pi\) | |||||||
\(180\) | 3.75046 | + | 5.43347i | 0.279542 | + | 0.404987i | ||||
\(181\) | −4.90013 | − | 16.9172i | −0.364223 | − | 1.25745i | −0.908268 | − | 0.418389i | \(-0.862595\pi\) |
0.544045 | − | 0.839056i | \(-0.316892\pi\) | |||||||
\(182\) | −4.58336 | + | 15.8236i | −0.339742 | + | 1.17292i | ||||
\(183\) | −7.40646 | + | 7.71094i | −0.547501 | + | 0.570009i | ||||
\(184\) | −0.110848 | + | 0.912913i | −0.00817180 | + | 0.0673008i | ||||
\(185\) | 21.2347 | 1.56121 | ||||||||
\(186\) | 1.02344 | − | 8.42877i | 0.0750421 | − | 0.618027i | ||||
\(187\) | −19.6500 | − | 3.19343i | −1.43695 | − | 0.233527i | ||||
\(188\) | −10.5019 | − | 12.8625i | −0.765929 | − | 0.938093i | ||||
\(189\) | −0.548122 | − | 1.44528i | −0.0398700 | − | 0.105128i | ||||
\(190\) | 2.97367 | + | 14.5660i | 0.215733 | + | 1.05673i | ||||
\(191\) | 15.3784 | − | 6.55214i | 1.11274 | − | 0.474096i | 0.244209 | − | 0.969723i | \(-0.421472\pi\) |
0.868536 | + | 0.495626i | \(0.165061\pi\) | |||||||
\(192\) | −3.85158 | + | 8.11703i | −0.277964 | + | 0.585796i | ||||
\(193\) | −0.888026 | + | 22.0361i | −0.0639215 | + | 1.58620i | 0.575801 | + | 0.817590i | \(0.304690\pi\) |
−0.639722 | + | 0.768606i | \(0.720951\pi\) | |||||||
\(194\) | −12.9205 | − | 9.70912i | −0.927638 | − | 0.697074i | ||||
\(195\) | 6.97942 | − | 14.7088i | 0.499807 | − | 1.05332i | ||||
\(196\) | −8.68522 | + | 4.55836i | −0.620373 | + | 0.325597i | ||||
\(197\) | −20.1102 | − | 1.62346i | −1.43279 | − | 0.115667i | −0.660447 | − | 0.750873i | \(-0.729633\pi\) |
−0.772342 | + | 0.635206i | \(0.780915\pi\) | |||||||
\(198\) | 3.36710 | − | 4.87809i | 0.239289 | − | 0.346670i | ||||
\(199\) | −11.3091 | − | 3.77554i | −0.801682 | − | 0.267641i | −0.113838 | − | 0.993499i | \(-0.536314\pi\) |
−0.687844 | + | 0.725859i | \(0.741443\pi\) | |||||||
\(200\) | 1.01291 | − | 0.640528i | 0.0716239 | − | 0.0452922i | ||||
\(201\) | 2.94685 | + | 10.1737i | 0.207855 | + | 0.717599i | ||||
\(202\) | 19.4507 | + | 10.2085i | 1.36855 | + | 0.718269i | ||||
\(203\) | 2.29380 | + | 6.04824i | 0.160993 | + | 0.424504i | ||||
\(204\) | −13.3544 | − | 5.68976i | −0.934992 | − | 0.398363i | ||||
\(205\) | 1.38982 | + | 34.4881i | 0.0970694 | + | 2.40875i | ||||
\(206\) | −8.06446 | + | 11.6834i | −0.561878 | + | 0.814020i | ||||
\(207\) | −1.77690 | + | 3.07767i | −0.123503 | + | 0.213913i | ||||
\(208\) | 19.4992 | − | 1.57414i | 1.35202 | − | 0.109147i | ||||
\(209\) | 5.81438 | − | 3.67679i | 0.402189 | − | 0.254329i | ||||
\(210\) | −9.24412 | + | 3.08614i | −0.637905 | + | 0.212964i | ||||
\(211\) | 5.85113 | − | 15.4282i | 0.402808 | − | 1.06212i | −0.568162 | − | 0.822917i | \(-0.692345\pi\) |
0.970970 | − | 0.239201i | \(-0.0768856\pi\) | |||||||
\(212\) | 12.3804 | + | 2.01201i | 0.850291 | + | 0.138186i | ||||
\(213\) | −9.94506 | − | 2.45124i | −0.681424 | − | 0.167956i | ||||
\(214\) | −18.8539 | + | 19.6290i | −1.28883 | + | 1.34181i | ||||
\(215\) | −2.44334 | + | 6.44257i | −0.166635 | + | 0.439380i | ||||
\(216\) | 0.193693 | − | 0.171597i | 0.0131791 | − | 0.0116757i | ||||
\(217\) | 5.94314 | + | 2.53213i | 0.403446 | + | 0.171892i | ||||
\(218\) | −1.76756 | + | 8.65808i | −0.119714 | + | 0.586399i | ||||
\(219\) | 0.395828 | + | 0.834190i | 0.0267476 | + | 0.0563693i | ||||
\(220\) | −15.3991 | − | 11.5717i | −1.03821 | − | 0.780161i | ||||
\(221\) | 4.31471 | + | 35.5348i | 0.290239 | + | 2.39033i | ||||
\(222\) | −1.67556 | − | 13.7995i | −0.112456 | − | 0.926160i | ||||
\(223\) | 0.0378825 | − | 0.940045i | 0.00253680 | − | 0.0629501i | −0.997425 | − | 0.0717210i | \(-0.977151\pi\) |
0.999962 | + | 0.00877091i | \(0.00279190\pi\) | |||||||
\(224\) | −9.36401 | − | 8.29579i | −0.625659 | − | 0.554286i | ||||
\(225\) | 4.57132 | − | 0.742913i | 0.304755 | − | 0.0495275i | ||||
\(226\) | 0.962826 | + | 23.8923i | 0.0640463 | + | 1.58929i | ||||
\(227\) | 0.854165 | − | 1.04616i | 0.0566929 | − | 0.0694362i | −0.745480 | − | 0.666528i | \(-0.767780\pi\) |
0.802173 | + | 0.597092i | \(0.203677\pi\) | |||||||
\(228\) | 4.75801 | − | 1.58846i | 0.315107 | − | 0.105198i | ||||
\(229\) | −3.40583 | + | 11.7583i | −0.225064 | + | 0.777010i | 0.765909 | + | 0.642948i | \(0.222289\pi\) |
−0.990973 | + | 0.134061i | \(0.957198\pi\) | |||||||
\(230\) | 18.9376 | + | 11.9754i | 1.24871 | + | 0.789636i | ||||
\(231\) | 2.85218 | + | 3.49328i | 0.187659 | + | 0.229841i | ||||
\(232\) | −0.810572 | + | 0.718104i | −0.0532167 | + | 0.0471459i | ||||
\(233\) | 16.6465 | − | 20.3883i | 1.09055 | − | 1.33568i | 0.152846 | − | 0.988250i | \(-0.451156\pi\) |
0.937705 | − | 0.347432i | \(-0.112946\pi\) | |||||||
\(234\) | −10.1093 | − | 3.37499i | −0.660867 | − | 0.220630i | ||||
\(235\) | −23.5200 | + | 5.79715i | −1.53427 | + | 0.378164i | ||||
\(236\) | −11.4756 | + | 2.82847i | −0.746995 | + | 0.184118i | ||||
\(237\) | 13.7773 | + | 4.59954i | 0.894932 | + | 0.298772i | ||||
\(238\) | 13.5517 | − | 16.5978i | 0.878425 | − | 1.07588i | ||||
\(239\) | −2.93899 | + | 2.60372i | −0.190108 | + | 0.168421i | −0.752808 | − | 0.658240i | \(-0.771301\pi\) |
0.562700 | + | 0.826661i | \(0.309763\pi\) | |||||||
\(240\) | 7.31916 | + | 8.96434i | 0.472450 | + | 0.578646i | ||||
\(241\) | −12.4467 | − | 7.87079i | −0.801759 | − | 0.507002i | 0.0696424 | − | 0.997572i | \(-0.477814\pi\) |
−0.871402 | + | 0.490570i | \(0.836789\pi\) | |||||||
\(242\) | 1.40616 | − | 4.85463i | 0.0903913 | − | 0.312067i | ||||
\(243\) | 0.948536 | − | 0.316668i | 0.0608486 | − | 0.0203143i | ||||
\(244\) | 14.3852 | − | 17.6187i | 0.920920 | − | 1.12792i | ||||
\(245\) | 0.576170 | + | 14.2975i | 0.0368101 | + | 0.913434i | ||||
\(246\) | 22.3026 | − | 3.62452i | 1.42196 | − | 0.231091i | ||||
\(247\) | −9.25884 | − | 8.20262i | −0.589126 | − | 0.521920i | ||||
\(248\) | −0.0435471 | + | 1.08061i | −0.00276524 | + | 0.0686187i | ||||
\(249\) | 1.55767 | + | 12.8286i | 0.0987134 | + | 0.812978i | ||||
\(250\) | 0.280203 | + | 2.30768i | 0.0177216 | + | 0.145950i | ||||
\(251\) | −24.1892 | − | 18.1770i | −1.52681 | − | 1.14732i | −0.941743 | − | 0.336335i | \(-0.890813\pi\) |
−0.585065 | − | 0.810987i | \(-0.698931\pi\) | |||||||
\(252\) | 1.40968 | + | 2.97085i | 0.0888018 | + | 0.187146i | ||||
\(253\) | 2.07395 | − | 10.1589i | 0.130388 | − | 0.638684i | ||||
\(254\) | 12.5424 | + | 5.34382i | 0.786981 | + | 0.335301i | ||||
\(255\) | −15.8505 | + | 14.0423i | −0.992594 | + | 0.879361i | ||||
\(256\) | −4.88352 | + | 12.8768i | −0.305220 | + | 0.804800i | ||||
\(257\) | 5.85121 | − | 6.09176i | 0.364989 | − | 0.379993i | −0.513231 | − | 0.858250i | \(-0.671552\pi\) |
0.878220 | + | 0.478257i | \(0.158731\pi\) | |||||||
\(258\) | 4.37953 | + | 1.07946i | 0.272658 | + | 0.0672041i | ||||
\(259\) | 10.4394 | + | 1.69657i | 0.648672 | + | 0.105419i | ||||
\(260\) | −12.2818 | + | 32.3844i | −0.761685 | + | 2.00840i | ||||
\(261\) | −3.96947 | + | 1.32520i | −0.245704 | + | 0.0820280i | ||||
\(262\) | 22.8734 | − | 14.4643i | 1.41312 | − | 0.893606i | ||||
\(263\) | −4.76272 | + | 0.384487i | −0.293682 | + | 0.0237085i | −0.226430 | − | 0.974028i | \(-0.572705\pi\) |
−0.0672525 | + | 0.997736i | \(0.521423\pi\) | |||||||
\(264\) | −0.377491 | + | 0.653834i | −0.0232330 | + | 0.0402407i | ||||
\(265\) | 10.3942 | − | 15.0587i | 0.638513 | − | 0.925046i | ||||
\(266\) | 0.298150 | + | 7.39851i | 0.0182807 | + | 0.453632i | ||||
\(267\) | −2.61744 | − | 1.11519i | −0.160185 | − | 0.0682485i | ||||
\(268\) | −7.99029 | − | 21.0687i | −0.488085 | − | 1.28697i | ||||
\(269\) | −25.9575 | − | 13.6235i | −1.58266 | − | 0.830642i | −0.999837 | − | 0.0180388i | \(-0.994258\pi\) |
−0.582818 | − | 0.812603i | \(-0.698050\pi\) | |||||||
\(270\) | −1.75414 | − | 6.05599i | −0.106753 | − | 0.368556i | ||||
\(271\) | 3.97403 | − | 2.51303i | 0.241405 | − | 0.152655i | −0.408285 | − | 0.912855i | \(-0.633873\pi\) |
0.649690 | + | 0.760199i | \(0.274899\pi\) | |||||||
\(272\) | −24.1352 | − | 8.05752i | −1.46341 | − | 0.488559i | ||||
\(273\) | 4.60639 | − | 6.67351i | 0.278792 | − | 0.403899i | ||||
\(274\) | 16.5284 | + | 1.33431i | 0.998516 | + | 0.0806086i | ||||
\(275\) | −11.9644 | + | 6.27940i | −0.721481 | + | 0.378662i | ||||
\(276\) | 3.24102 | − | 6.83030i | 0.195086 | − | 0.411136i | ||||
\(277\) | −10.3017 | − | 7.74125i | −0.618971 | − | 0.465127i | 0.244415 | − | 0.969671i | \(-0.421404\pi\) |
−0.863386 | + | 0.504544i | \(0.831661\pi\) | |||||||
\(278\) | 1.01682 | − | 25.2321i | 0.0609847 | − | 1.51332i | ||||
\(279\) | −1.79164 | + | 3.77581i | −0.107263 | + | 0.226052i | ||||
\(280\) | 1.14201 | − | 0.486563i | 0.0682479 | − | 0.0290777i | ||||
\(281\) | 0.0297816 | + | 0.145880i | 0.00177662 | + | 0.00870247i | 0.980669 | − | 0.195672i | \(-0.0626890\pi\) |
−0.978893 | + | 0.204375i | \(0.934484\pi\) | |||||||
\(282\) | 5.62318 | + | 14.8271i | 0.334856 | + | 0.882942i | ||||
\(283\) | 3.52468 | + | 4.31694i | 0.209520 | + | 0.256616i | 0.868665 | − | 0.495401i | \(-0.164979\pi\) |
−0.659144 | + | 0.752017i | \(0.729081\pi\) | |||||||
\(284\) | 21.5079 | + | 3.49537i | 1.27626 | + | 0.207412i | ||||
\(285\) | 0.882042 | − | 7.26427i | 0.0522477 | − | 0.430298i | ||||
\(286\) | 31.0949 | 1.83868 | ||||||||
\(287\) | −2.07219 | + | 17.0660i | −0.122318 | + | 1.00738i | ||||
\(288\) | 5.60651 | − | 5.83699i | 0.330367 | − | 0.343948i | ||||
\(289\) | 8.22379 | − | 28.3918i | 0.483752 | − | 1.67011i | ||||
\(290\) | 7.34077 | + | 25.3433i | 0.431065 | + | 1.48821i | ||||
\(291\) | 4.51911 | + | 6.54706i | 0.264915 | + | 0.383795i | ||||
\(292\) | −0.982142 | − | 1.70112i | −0.0574755 | − | 0.0995505i | ||||
\(293\) | −17.9475 | − | 1.44887i | −1.04850 | − | 0.0846438i | −0.455813 | − | 0.890076i | \(-0.650651\pi\) |
−0.592688 | + | 0.805432i | \(0.701933\pi\) | |||||||
\(294\) | 9.24584 | − | 1.50260i | 0.539228 | − | 0.0876331i | ||||
\(295\) | −3.44878 | + | 16.8932i | −0.200796 | + | 0.983562i | ||||
\(296\) | 0.354165 | + | 1.73481i | 0.0205854 | + | 0.100834i | ||||
\(297\) | −2.33243 | + | 1.75271i | −0.135341 | + | 0.101702i | ||||
\(298\) | 14.0042 | + | 20.2886i | 0.811244 | + | 1.17529i | ||||
\(299\) | −18.5828 | + | 1.50016i | −1.07467 | + | 0.0867566i | ||||
\(300\) | −9.56621 | + | 2.35786i | −0.552305 | + | 0.136131i | ||||
\(301\) | −1.71593 | + | 2.97208i | −0.0989046 | + | 0.171308i | ||||
\(302\) | 7.99302 | + | 13.8443i | 0.459947 | + | 0.796651i | ||||
\(303\) | −7.49018 | − | 7.79810i | −0.430299 | − | 0.447989i | ||||
\(304\) | 8.08912 | − | 3.44645i | 0.463943 | − | 0.197668i | ||||
\(305\) | −14.2245 | − | 29.9776i | −0.814495 | − | 1.71651i | ||||
\(306\) | 10.3761 | + | 9.19246i | 0.593165 | + | 0.525498i | ||||
\(307\) | −7.12898 | + | 3.74158i | −0.406873 | + | 0.213543i | −0.655728 | − | 0.754998i | \(-0.727638\pi\) |
0.248855 | + | 0.968541i | \(0.419946\pi\) | |||||||
\(308\) | −6.64596 | − | 6.91917i | −0.378689 | − | 0.394257i | ||||
\(309\) | 5.58635 | − | 4.19787i | 0.317796 | − | 0.238808i | ||||
\(310\) | 23.3320 | + | 12.2456i | 1.32517 | + | 0.695502i | ||||
\(311\) | 9.21851 | + | 5.82943i | 0.522734 | + | 0.330557i | 0.769635 | − | 0.638484i | \(-0.220438\pi\) |
−0.246901 | + | 0.969041i | \(0.579412\pi\) | |||||||
\(312\) | 1.31807 | + | 0.324876i | 0.0746212 | + | 0.0183925i | ||||
\(313\) | 27.7166 | 1.56664 | 0.783318 | − | 0.621621i | \(-0.213525\pi\) | ||||
0.783318 | + | 0.621621i | \(0.213525\pi\) | |||||||
\(314\) | 17.3415 | − | 18.6352i | 0.978636 | − | 1.05165i | ||||
\(315\) | 4.79705 | 0.270283 | ||||||||
\(316\) | −30.0018 | − | 7.39478i | −1.68773 | − | 0.415989i | ||||
\(317\) | 20.2689 | + | 12.8173i | 1.13841 | + | 0.719889i | 0.964294 | − | 0.264836i | \(-0.0853177\pi\) |
0.174119 | + | 0.984725i | \(0.444292\pi\) | |||||||
\(318\) | −10.6061 | − | 5.56652i | −0.594761 | − | 0.312155i | ||||
\(319\) | 9.76083 | − | 7.33479i | 0.546501 | − | 0.410669i | ||||
\(320\) | −19.3150 | − | 20.1091i | −1.07974 | − | 1.12413i | ||||
\(321\) | 11.8624 | − | 6.22585i | 0.662093 | − | 0.347493i | ||||
\(322\) | 8.35332 | + | 7.40039i | 0.465512 | + | 0.412408i | ||||
\(323\) | 6.89723 | + | 14.5356i | 0.383772 | + | 0.808783i | ||||
\(324\) | −1.95714 | + | 0.833859i | −0.108730 | + | 0.0463255i | ||||
\(325\) | 16.8304 | + | 17.5223i | 0.933582 | + | 0.971962i | ||||
\(326\) | −6.04031 | − | 10.4621i | −0.334542 | − | 0.579444i | ||||
\(327\) | 2.17481 | − | 3.76688i | 0.120267 | − | 0.208309i | ||||
\(328\) | −2.79439 | + | 0.688756i | −0.154295 | + | 0.0380302i | ||||
\(329\) | −12.0260 | + | 0.970842i | −0.663017 | + | 0.0535242i | ||||
\(330\) | 10.4496 | + | 15.1388i | 0.575230 | + | 0.833364i | ||||
\(331\) | −0.264442 | + | 0.198715i | −0.0145350 | + | 0.0109224i | −0.607985 | − | 0.793949i | \(-0.708022\pi\) |
0.593450 | + | 0.804871i | \(0.297766\pi\) | |||||||
\(332\) | −5.49903 | − | 26.9360i | −0.301799 | − | 1.47831i | ||||
\(333\) | −1.36864 | + | 6.70405i | −0.0750011 | + | 0.367379i | ||||
\(334\) | 32.3100 | − | 5.25089i | 1.76793 | − | 0.287316i | ||||
\(335\) | −32.7647 | − | 2.64504i | −1.79013 | − | 0.144514i | ||||
\(336\) | 2.88203 | + | 4.99182i | 0.157227 | + | 0.272326i | ||||
\(337\) | −9.41837 | − | 13.6449i | −0.513051 | − | 0.743283i | 0.477767 | − | 0.878487i | \(-0.341446\pi\) |
−0.990818 | + | 0.135204i | \(0.956831\pi\) | |||||||
\(338\) | −8.20755 | − | 28.3357i | −0.446432 | − | 1.54126i | ||||
\(339\) | 3.27460 | − | 11.3052i | 0.177852 | − | 0.614015i | ||||
\(340\) | 31.2067 | − | 32.4896i | 1.69242 | − | 1.76200i | ||||
\(341\) | 1.46976 | − | 12.1045i | 0.0795919 | − | 0.655498i | ||||
\(342\) | −4.79032 | −0.259031 | ||||||||
\(343\) | −2.16327 | + | 17.8161i | −0.116806 | + | 0.961982i | ||||
\(344\) | −0.567090 | − | 0.0921612i | −0.0305755 | − | 0.00496900i | ||||
\(345\) | −6.97521 | − | 8.54308i | −0.375533 | − | 0.459944i | ||||
\(346\) | −1.75070 | − | 4.61622i | −0.0941183 | − | 0.248169i | ||||
\(347\) | 6.74319 | + | 33.0303i | 0.361993 | + | 1.77316i | 0.598089 | + | 0.801430i | \(0.295927\pi\) |
−0.236095 | + | 0.971730i | \(0.575868\pi\) | |||||||
\(348\) | 8.19030 | − | 3.48956i | 0.439046 | − | 0.187060i | ||||
\(349\) | 10.7962 | − | 22.7525i | 0.577908 | − | 1.21792i | −0.378424 | − | 0.925632i | \(-0.623534\pi\) |
0.956332 | − | 0.292283i | \(-0.0944149\pi\) | |||||||
\(350\) | 0.585612 | − | 14.5318i | 0.0313023 | − | 0.776758i | ||||
\(351\) | 4.19390 | + | 3.15151i | 0.223854 | + | 0.168215i | ||||
\(352\) | −10.1228 | + | 21.3333i | −0.539545 | + | 1.13707i | ||||
\(353\) | 16.3189 | − | 8.56482i | 0.868567 | − | 0.455859i | 0.0292952 | − | 0.999571i | \(-0.490674\pi\) |
0.839272 | + | 0.543711i | \(0.182981\pi\) | |||||||
\(354\) | 11.2503 | + | 0.908216i | 0.597946 | + | 0.0482712i | ||||
\(355\) | 18.0574 | − | 26.1606i | 0.958386 | − | 1.38846i | ||||
\(356\) | 5.74113 | + | 1.91667i | 0.304279 | + | 0.101583i | ||||
\(357\) | −8.91431 | + | 5.63707i | −0.471795 | + | 0.298345i | ||||
\(358\) | −2.24866 | − | 7.76326i | −0.118845 | − | 0.410301i | ||||
\(359\) | −0.630804 | − | 0.331072i | −0.0332926 | − | 0.0174733i | 0.447995 | − | 0.894036i | \(-0.352138\pi\) |
−0.481287 | + | 0.876563i | \(0.659831\pi\) | |||||||
\(360\) | 0.284776 | + | 0.750891i | 0.0150090 | + | 0.0395755i | ||||
\(361\) | 12.3648 | + | 5.26813i | 0.650777 | + | 0.277270i | ||||
\(362\) | −1.44078 | − | 35.7526i | −0.0757257 | − | 1.87911i | ||||
\(363\) | −1.41322 | + | 2.04741i | −0.0741750 | + | 0.107461i | ||||
\(364\) | −8.62535 | + | 14.9395i | −0.452091 | + | 0.783045i | ||||
\(365\) | −2.85622 | + | 0.230578i | −0.149502 | + | 0.0120690i | ||||
\(366\) | −18.3587 | + | 11.6093i | −0.959623 | + | 0.606829i | ||||
\(367\) | −2.65318 | + | 0.885762i | −0.138495 | + | 0.0462364i | −0.385070 | − | 0.922887i | \(-0.625823\pi\) |
0.246576 | + | 0.969124i | \(0.420695\pi\) | |||||||
\(368\) | 4.69929 | − | 12.3910i | 0.244967 | − | 0.645926i | ||||
\(369\) | −10.9779 | − | 1.78408i | −0.571485 | − | 0.0928754i | ||||
\(370\) | 41.8867 | + | 10.3241i | 2.17759 | + | 0.536727i | ||||
\(371\) | 6.31313 | − | 6.57267i | 0.327762 | − | 0.341236i | ||||
\(372\) | 3.15278 | − | 8.31320i | 0.163464 | − | 0.431019i | ||||
\(373\) | −16.5105 | + | 14.6270i | −0.854880 | + | 0.757358i | −0.971806 | − | 0.235783i | \(-0.924235\pi\) |
0.116925 | + | 0.993141i | \(0.462696\pi\) | |||||||
\(374\) | −37.2081 | − | 15.8529i | −1.92398 | − | 0.819733i | ||||
\(375\) | 0.228877 | − | 1.12111i | 0.0118192 | − | 0.0578941i | ||||
\(376\) | −0.865889 | − | 1.82482i | −0.0446548 | − | 0.0941080i | ||||
\(377\) | −17.5508 | − | 13.1886i | −0.903911 | − | 0.679245i | ||||
\(378\) | −0.378520 | − | 3.11739i | −0.0194689 | − | 0.160341i | ||||
\(379\) | −2.80377 | − | 23.0911i | −0.144020 | − | 1.18611i | −0.868098 | − | 0.496393i | \(-0.834658\pi\) |
0.724078 | − | 0.689718i | \(-0.242266\pi\) | |||||||
\(380\) | −0.626833 | + | 15.5547i | −0.0321558 | + | 0.797939i | ||||
\(381\) | −5.02301 | − | 4.45000i | −0.257337 | − | 0.227980i | ||||
\(382\) | 33.5205 | − | 5.44761i | 1.71506 | − | 0.278724i | ||||
\(383\) | 0.285859 | + | 7.09351i | 0.0146067 | + | 0.362462i | 0.989919 | + | 0.141633i | \(0.0452352\pi\) |
−0.975313 | + | 0.220829i | \(0.929124\pi\) | |||||||
\(384\) | −1.30661 | + | 1.60031i | −0.0666778 | + | 0.0816655i | ||||
\(385\) | −13.2755 | + | 4.43200i | −0.676581 | + | 0.225876i | ||||
\(386\) | −12.4655 | + | 43.0358i | −0.634476 | + | 2.19047i | ||||
\(387\) | −1.87651 | − | 1.18664i | −0.0953886 | − | 0.0603201i | ||||
\(388\) | −10.7034 | − | 13.1093i | −0.543383 | − | 0.665523i | ||||
\(389\) | 19.7462 | − | 17.4936i | 1.00117 | − | 0.886960i | 0.00757682 | − | 0.999971i | \(-0.497588\pi\) |
0.993594 | + | 0.113012i | \(0.0360497\pi\) | |||||||
\(390\) | 20.9186 | − | 25.6207i | 1.05926 | − | 1.29735i | ||||
\(391\) | 23.0010 | + | 7.67887i | 1.16321 | + | 0.388337i | ||||
\(392\) | −1.15845 | + | 0.285533i | −0.0585108 | + | 0.0144216i | ||||
\(393\) | −12.9340 | + | 3.18795i | −0.652434 | + | 0.160811i | ||||
\(394\) | −38.8792 | − | 12.9798i | −1.95870 | − | 0.653911i | ||||
\(395\) | −28.5086 | + | 34.9167i | −1.43442 | + | 1.75685i | ||||
\(396\) | 4.64583 | − | 4.11584i | 0.233462 | − | 0.206829i | ||||
\(397\) | 20.8874 | + | 25.5824i | 1.04831 | + | 1.28394i | 0.957611 | + | 0.288066i | \(0.0930122\pi\) |
0.0906973 | + | 0.995879i | \(0.471090\pi\) | |||||||
\(398\) | −20.4723 | − | 12.9459i | −1.02618 | − | 0.648918i | ||||
\(399\) | 1.01401 | − | 3.50078i | 0.0507642 | − | 0.175258i | ||||
\(400\) | −16.3815 | + | 5.46894i | −0.819073 | + | 0.273447i | ||||
\(401\) | 1.41015 | − | 1.72712i | 0.0704197 | − | 0.0862485i | −0.738194 | − | 0.674589i | \(-0.764321\pi\) |
0.808613 | + | 0.588340i | \(0.200218\pi\) | |||||||
\(402\) | 0.866461 | + | 21.5010i | 0.0432151 | + | 1.07237i | ||||
\(403\) | −21.6409 | + | 3.51699i | −1.07801 | + | 0.175194i | ||||
\(404\) | 17.2176 | + | 15.2535i | 0.856609 | + | 0.758889i | ||||
\(405\) | −0.124963 | + | 3.10092i | −0.00620944 | + | 0.154086i | ||||
\(406\) | 1.58404 | + | 13.0457i | 0.0786146 | + | 0.647450i | ||||
\(407\) | −2.40627 | − | 19.8174i | −0.119274 | − | 0.982312i | ||||
\(408\) | −1.41158 | − | 1.06073i | −0.0698834 | − | 0.0525140i | ||||
\(409\) | −4.99390 | − | 10.5244i | −0.246933 | − | 0.520400i | 0.741703 | − | 0.670728i | \(-0.234018\pi\) |
−0.988636 | + | 0.150328i | \(0.951967\pi\) | |||||||
\(410\) | −14.0263 | + | 68.7055i | −0.692711 | + | 3.39312i | ||||
\(411\) | −7.50900 | − | 3.19929i | −0.370392 | − | 0.157809i | ||||
\(412\) | −11.1271 | + | 9.85776i | −0.548194 | + | 0.485657i | ||||
\(413\) | −3.04519 | + | 8.02950i | −0.149844 | + | 0.395106i | ||||
\(414\) | −5.00137 | + | 5.20698i | −0.245804 | + | 0.255909i | ||||
\(415\) | −38.9397 | − | 9.59777i | −1.91147 | − | 0.471136i | ||||
\(416\) | 41.9085 | + | 6.81079i | 2.05473 | + | 0.333927i | ||||
\(417\) | −4.40771 | + | 11.6222i | −0.215847 | + | 0.569140i | ||||
\(418\) | 13.2568 | − | 4.42578i | 0.648413 | − | 0.216472i | ||||
\(419\) | −24.7698 | + | 15.6634i | −1.21008 | + | 0.765209i | −0.978226 | − | 0.207541i | \(-0.933454\pi\) |
−0.231855 | + | 0.972750i | \(0.574480\pi\) | |||||||
\(420\) | −10.1720 | + | 0.821171i | −0.496344 | + | 0.0400691i | ||||
\(421\) | −12.7396 | + | 22.0657i | −0.620891 | + | 1.07542i | 0.368429 | + | 0.929656i | \(0.379896\pi\) |
−0.989320 | + | 0.145759i | \(0.953438\pi\) | |||||||
\(422\) | 19.0428 | − | 27.5882i | 0.926987 | − | 1.34297i | ||||
\(423\) | −0.314296 | − | 7.79917i | −0.0152816 | − | 0.379209i | ||||
\(424\) | 1.40361 | + | 0.598022i | 0.0681653 | + | 0.0290425i | ||||
\(425\) | −11.2060 | − | 29.5477i | −0.543568 | − | 1.43327i | ||||
\(426\) | −18.4255 | − | 9.67042i | −0.892716 | − | 0.468534i | ||||
\(427\) | −4.59798 | − | 15.8741i | −0.222512 | − | 0.768199i | ||||
\(428\) | −24.0881 | + | 15.2324i | −1.16434 | + | 0.736286i | ||||
\(429\) | −14.5180 | − | 4.84681i | −0.700935 | − | 0.234006i | ||||
\(430\) | −7.95197 | + | 11.5204i | −0.383478 | + | 0.555564i | ||||
\(431\) | −15.8795 | − | 1.28192i | −0.764887 | − | 0.0617481i | −0.308136 | − | 0.951342i | \(-0.599705\pi\) |
−0.456751 | + | 0.889594i | \(0.650987\pi\) | |||||||
\(432\) | −3.30189 | + | 1.73297i | −0.158862 | + | 0.0833774i | ||||
\(433\) | −11.4446 | + | 24.1189i | −0.549991 | + | 1.15908i | 0.418081 | + | 0.908410i | \(0.362703\pi\) |
−0.968072 | + | 0.250672i | \(0.919349\pi\) | |||||||
\(434\) | 10.4921 | + | 7.88429i | 0.503636 | + | 0.378458i | ||||
\(435\) | 0.522948 | − | 12.9768i | 0.0250734 | − | 0.622191i | ||||
\(436\) | −3.96681 | + | 8.35987i | −0.189976 | + | 0.400365i | ||||
\(437\) | −7.70899 | + | 3.28449i | −0.368771 | + | 0.157119i | ||||
\(438\) | 0.375218 | + | 1.83794i | 0.0179286 | + | 0.0878200i | ||||
\(439\) | −7.84903 | − | 20.6962i | −0.374614 | − | 0.987776i | −0.981240 | − | 0.192789i | \(-0.938247\pi\) |
0.606626 | − | 0.794987i | \(-0.292522\pi\) | |||||||
\(440\) | −1.48184 | − | 1.81493i | −0.0706441 | − | 0.0865233i | ||||
\(441\) | −4.55103 | − | 0.739614i | −0.216716 | − | 0.0352197i | ||||
\(442\) | −8.76573 | + | 72.1923i | −0.416943 | + | 3.43384i | ||||
\(443\) | 27.4110 | 1.30234 | 0.651168 | − | 0.758933i | \(-0.274279\pi\) | ||||
0.651168 | + | 0.758933i | \(0.274279\pi\) | |||||||
\(444\) | 1.75455 | − | 14.4500i | 0.0832674 | − | 0.685769i | ||||
\(445\) | 6.11649 | − | 6.36794i | 0.289949 | − | 0.301869i | ||||
\(446\) | 0.531768 | − | 1.83588i | 0.0251800 | − | 0.0869313i | ||||
\(447\) | −3.37605 | − | 11.6555i | −0.159682 | − | 0.551286i | ||||
\(448\) | −7.88901 | − | 11.4292i | −0.372721 | − | 0.539979i | ||||
\(449\) | 6.56693 | + | 11.3743i | 0.309913 | + | 0.536784i | 0.978343 | − | 0.206990i | \(-0.0663669\pi\) |
−0.668430 | + | 0.743775i | \(0.733034\pi\) | |||||||
\(450\) | 9.37841 | + | 0.757103i | 0.442102 | + | 0.0356902i | ||||
\(451\) | 32.0287 | − | 5.20517i | 1.50817 | − | 0.245102i | ||||
\(452\) | −5.00844 | + | 24.5330i | −0.235577 | + | 1.15393i | ||||
\(453\) | −1.57395 | − | 7.70970i | −0.0739505 | − | 0.362233i | ||||
\(454\) | 2.19353 | − | 1.64833i | 0.102947 | − | 0.0773599i | ||||
\(455\) | 14.2956 | + | 20.7108i | 0.670190 | + | 0.970937i | ||||
\(456\) | 0.608181 | − | 0.0490974i | 0.0284807 | − | 0.00229920i | ||||
\(457\) | 12.3945 | − | 3.05497i | 0.579790 | − | 0.142905i | 0.0614951 | − | 0.998107i | \(-0.480413\pi\) |
0.518295 | + | 0.855202i | \(0.326567\pi\) | |||||||
\(458\) | −12.4350 | + | 21.5380i | −0.581049 | + | 1.00641i | ||||
\(459\) | −3.41170 | − | 5.90924i | −0.159245 | − | 0.275820i | ||||
\(460\) | 16.2532 | + | 16.9214i | 0.757809 | + | 0.788962i | ||||
\(461\) | −11.8254 | + | 5.03834i | −0.550765 | + | 0.234659i | −0.649377 | − | 0.760467i | \(-0.724970\pi\) |
0.0986117 | + | 0.995126i | \(0.468560\pi\) | |||||||
\(462\) | 3.92768 | + | 8.27741i | 0.182732 | + | 0.385100i | ||||
\(463\) | 12.7720 | + | 11.3150i | 0.593564 | + | 0.525852i | 0.905553 | − | 0.424234i | \(-0.139457\pi\) |
−0.311988 | + | 0.950086i | \(0.600995\pi\) | |||||||
\(464\) | 13.8179 | − | 7.25217i | 0.641478 | − | 0.336674i | ||||
\(465\) | −8.98480 | − | 9.35417i | −0.416660 | − | 0.433789i | ||||
\(466\) | 42.7489 | − | 32.1237i | 1.98031 | − | 1.48810i | ||||
\(467\) | −17.9757 | − | 9.43439i | −0.831817 | − | 0.436571i | −0.00564155 | − | 0.999984i | \(-0.501796\pi\) |
−0.826176 | + | 0.563413i | \(0.809488\pi\) | |||||||
\(468\) | −9.43255 | − | 5.96478i | −0.436020 | − | 0.275722i | ||||
\(469\) | −15.8964 | − | 3.91812i | −0.734029 | − | 0.180922i | ||||
\(470\) | −49.2130 | −2.27003 | ||||||||
\(471\) | −11.0013 | + | 5.99759i | −0.506914 | + | 0.276355i | ||||
\(472\) | −1.43765 | −0.0661731 | ||||||||
\(473\) | 6.28944 | + | 1.55021i | 0.289189 | + | 0.0712786i | ||||
\(474\) | 24.9403 | + | 15.7713i | 1.14555 | + | 0.724399i | ||||
\(475\) | 9.66935 | + | 5.07487i | 0.443660 | + | 0.232851i | ||||
\(476\) | 17.9376 | − | 13.4792i | 0.822169 | − | 0.617820i | ||||
\(477\) | 4.08426 | + | 4.25216i | 0.187005 | + | 0.194693i | ||||
\(478\) | −7.06325 | + | 3.70708i | −0.323065 | + | 0.169558i | ||||
\(479\) | 22.5024 | + | 19.9354i | 1.02816 | + | 0.910869i | 0.996066 | − | 0.0886155i | \(-0.0282442\pi\) |
0.0320931 | + | 0.999485i | \(0.489783\pi\) | |||||||
\(480\) | 10.7676 | + | 22.6923i | 0.491473 | + | 1.03576i | ||||
\(481\) | −33.0227 | + | 14.0697i | −1.50571 | + | 0.641521i | ||||
\(482\) | −20.7250 | − | 21.5771i | −0.944000 | − | 0.982808i | ||||
\(483\) | −2.74659 | − | 4.75724i | −0.124974 | − | 0.216462i | ||||
\(484\) | 2.64623 | − | 4.58340i | 0.120283 | − | 0.208336i | ||||
\(485\) | −23.9712 | + | 5.90838i | −1.08848 | + | 0.268286i | ||||
\(486\) | 2.02501 | − | 0.163475i | 0.0918561 | − | 0.00741539i | ||||
\(487\) | −0.288953 | − | 0.418621i | −0.0130937 | − | 0.0189695i | 0.816382 | − | 0.577512i | \(-0.195976\pi\) |
−0.829476 | + | 0.558542i | \(0.811361\pi\) | |||||||
\(488\) | 2.21184 | − | 1.66209i | 0.100125 | − | 0.0752392i | ||||
\(489\) | 1.18943 | + | 5.82621i | 0.0537878 | + | 0.263470i | ||||
\(490\) | −5.81481 | + | 28.4828i | −0.262686 | + | 1.28672i | ||||
\(491\) | −19.1279 | + | 3.10859i | −0.863232 | + | 0.140289i | −0.575878 | − | 0.817536i | \(-0.695340\pi\) |
−0.287354 | + | 0.957824i | \(0.592776\pi\) | |||||||
\(492\) | 23.5837 | + | 1.90387i | 1.06324 | + | 0.0858332i | ||||
\(493\) | 14.2774 | + | 24.7292i | 0.643022 | + | 1.11375i | ||||
\(494\) | −14.2756 | − | 20.6817i | −0.642288 | − | 0.930515i | ||||
\(495\) | −2.51912 | − | 8.69699i | −0.113226 | − | 0.390901i | ||||
\(496\) | 4.33596 | − | 14.9695i | 0.194690 | − | 0.672150i | ||||
\(497\) | 10.9675 | − | 11.4184i | 0.491959 | − | 0.512183i | ||||
\(498\) | −3.16456 | + | 26.0625i | −0.141807 | + | 1.16789i | ||||
\(499\) | −6.40420 | −0.286691 | −0.143346 | − | 0.989673i | \(-0.545786\pi\) | ||||
−0.143346 | + | 0.989673i | \(0.545786\pi\) | |||||||
\(500\) | −0.293413 | + | 2.41648i | −0.0131218 | + | 0.108068i | ||||
\(501\) | −15.9038 | − | 2.58462i | −0.710529 | − | 0.115472i | ||||
\(502\) | −38.8771 | − | 47.6158i | −1.73517 | − | 2.12520i | ||||
\(503\) | −1.82881 | − | 4.82219i | −0.0815428 | − | 0.215011i | 0.888044 | − | 0.459759i | \(-0.152064\pi\) |
−0.969587 | + | 0.244748i | \(0.921295\pi\) | |||||||
\(504\) | 0.0800080 | + | 0.391905i | 0.00356384 | + | 0.0174568i | ||||
\(505\) | 30.8711 | − | 13.1529i | 1.37375 | − | 0.585299i | ||||
\(506\) | 9.03017 | − | 19.0307i | 0.401440 | − | 0.846017i | ||||
\(507\) | −0.584696 | + | 14.5091i | −0.0259673 | + | 0.644371i | ||||
\(508\) | 11.4129 | + | 8.57626i | 0.506367 | + | 0.380510i | ||||
\(509\) | 6.17985 | − | 13.0238i | 0.273917 | − | 0.577268i | −0.719145 | − | 0.694860i | \(-0.755466\pi\) |
0.993062 | + | 0.117592i | \(0.0375176\pi\) | |||||||
\(510\) | −38.0932 | + | 19.9929i | −1.68680 | + | 0.885298i | ||||
\(511\) | −1.42260 | − | 0.114844i | −0.0629320 | − | 0.00508040i | ||||
\(512\) | −18.2408 | + | 26.4264i | −0.806139 | + | 1.16789i | ||||
\(513\) | 2.23657 | + | 0.746675i | 0.0987468 | + | 0.0329665i | ||||
\(514\) | 14.5036 | − | 9.17154i | 0.639728 | − | 0.404539i | ||||
\(515\) | 6.03348 | + | 20.8300i | 0.265867 | + | 0.917878i | ||||
\(516\) | 4.18223 | + | 2.19500i | 0.184113 | + | 0.0966297i | ||||
\(517\) | 8.07545 | + | 21.2932i | 0.355158 | + | 0.936474i | ||||
\(518\) | 19.7675 | + | 8.42213i | 0.868532 | + | 0.370047i | ||||
\(519\) | 0.0978517 | + | 2.42816i | 0.00429521 | + | 0.106585i | ||||
\(520\) | −2.39324 | + | 3.46721i | −0.104951 | + | 0.152047i | ||||
\(521\) | −16.7432 | + | 29.0000i | −0.733531 | + | 1.27051i | 0.221834 | + | 0.975084i | \(0.428796\pi\) |
−0.955365 | + | 0.295428i | \(0.904538\pi\) | |||||||
\(522\) | −8.47431 | + | 0.684117i | −0.370910 | + | 0.0299430i | ||||
\(523\) | −30.8344 | + | 19.4985i | −1.34829 | + | 0.852609i | −0.996510 | − | 0.0834720i | \(-0.973399\pi\) |
−0.351784 | + | 0.936081i | \(0.614425\pi\) | |||||||
\(524\) | 26.8805 | − | 8.97403i | 1.17428 | − | 0.392032i | ||||
\(525\) | −2.53851 | + | 6.69351i | −0.110790 | + | 0.292129i | ||||
\(526\) | −9.58169 | − | 1.55718i | −0.417782 | − | 0.0678961i | ||||
\(527\) | 27.6885 | + | 6.82461i | 1.20613 | + | 0.297285i | ||||
\(528\) | 7.53663 | − | 7.84647i | 0.327990 | − | 0.341474i | ||||
\(529\) | 3.67746 | − | 9.69665i | 0.159889 | − | 0.421594i | ||||
\(530\) | 27.8247 | − | 24.6505i | 1.20863 | − | 1.07075i | ||||
\(531\) | −5.11111 | − | 2.17764i | −0.221803 | − | 0.0945015i | ||||
\(532\) | −1.55092 | + | 7.59691i | −0.0672409 | + | 0.329368i | ||||
\(533\) | −25.0124 | − | 52.7126i | −1.08341 | − | 2.28323i | ||||
\(534\) | −4.62087 | − | 3.47236i | −0.199965 | − | 0.150264i | ||||
\(535\) | 5.01148 | + | 41.2733i | 0.216665 | + | 1.78440i | ||||
\(536\) | −0.330376 | − | 2.72089i | −0.0142701 | − | 0.117525i | ||||
\(537\) | −0.160191 | + | 3.97511i | −0.00691277 | + | 0.171539i | ||||
\(538\) | −44.5790 | − | 39.4936i | −1.92194 | − | 1.70269i | ||||
\(539\) | 13.2779 | − | 2.15788i | 0.571921 | − | 0.0929463i | ||||
\(540\) | −0.265842 | − | 6.59681i | −0.0114400 | − | 0.283881i | ||||
\(541\) | −8.16024 | + | 9.99448i | −0.350836 | + | 0.429696i | −0.919631 | − | 0.392783i | \(-0.871512\pi\) |
0.568795 | + | 0.822479i | \(0.307410\pi\) | |||||||
\(542\) | 9.06083 | − | 3.02495i | 0.389196 | − | 0.129933i | ||||
\(543\) | −4.90013 | + | 16.9172i | −0.210285 | + | 0.725986i | ||||
\(544\) | −46.6753 | − | 29.5157i | −2.00119 | − | 1.26547i | ||||
\(545\) | 8.53723 | + | 10.4562i | 0.365695 | + | 0.447895i | ||||
\(546\) | 12.3310 | − | 10.9243i | 0.527718 | − | 0.467517i | ||||
\(547\) | 5.44011 | − | 6.66292i | 0.232602 | − | 0.284886i | −0.645094 | − | 0.764103i | \(-0.723182\pi\) |
0.877696 | + | 0.479217i | \(0.159079\pi\) | |||||||
\(548\) | 16.4703 | + | 5.49860i | 0.703577 | + | 0.234888i | ||||
\(549\) | 10.3811 | − | 2.55871i | 0.443055 | − | 0.109203i | ||||
\(550\) | −26.6535 | + | 6.56950i | −1.13651 | + | 0.280124i | ||||
\(551\) | −9.35965 | − | 3.12471i | −0.398735 | − | 0.133117i | ||||
\(552\) | 0.581608 | − | 0.712341i | 0.0247549 | − | 0.0303192i | ||||
\(553\) | −16.8051 | + | 14.8880i | −0.714625 | + | 0.633102i | ||||
\(554\) | −16.5571 | − | 20.2787i | −0.703442 | − | 0.861560i | ||||
\(555\) | −17.9474 | − | 11.3492i | −0.761823 | − | 0.481748i | ||||
\(556\) | 7.35693 | − | 25.3991i | 0.312003 | − | 1.07716i | ||||
\(557\) | −26.9100 | + | 8.98386i | −1.14021 | + | 0.380659i | −0.823193 | − | 0.567761i | \(-0.807810\pi\) |
−0.317018 | + | 0.948420i | \(0.602682\pi\) | |||||||
\(558\) | −5.36989 | + | 6.57692i | −0.227326 | + | 0.278423i | ||||
\(559\) | −0.468993 | − | 11.6379i | −0.0198363 | − | 0.492232i | ||||
\(560\) | −17.6567 | + | 2.86949i | −0.746132 | + | 0.121258i | ||||
\(561\) | 14.9012 | + | 13.2013i | 0.629128 | + | 0.557359i | ||||
\(562\) | −0.0121797 | + | 0.302236i | −0.000513770 | + | 0.0127491i | ||||
\(563\) | −3.15644 | − | 25.9956i | −0.133028 | − | 1.09559i | −0.894399 | − | 0.447269i | \(-0.852397\pi\) |
0.761371 | − | 0.648316i | \(-0.224527\pi\) | |||||||
\(564\) | 2.00154 | + | 16.4841i | 0.0842799 | + | 0.694108i | ||||
\(565\) | 29.2014 | + | 21.9434i | 1.22851 | + | 0.923166i | ||||
\(566\) | 4.85377 | + | 10.2291i | 0.204019 | + | 0.429961i | ||||
\(567\) | −0.309185 | + | 1.51449i | −0.0129845 | + | 0.0636025i | ||||
\(568\) | 2.43842 | + | 1.03891i | 0.102314 | + | 0.0435918i | ||||
\(569\) | 6.16104 | − | 5.45820i | 0.258284 | − | 0.228820i | −0.524036 | − | 0.851696i | \(-0.675574\pi\) |
0.782320 | + | 0.622876i | \(0.214036\pi\) | |||||||
\(570\) | 5.27171 | − | 13.9004i | 0.220808 | − | 0.582222i | ||||
\(571\) | −24.3487 | + | 25.3497i | −1.01896 | + | 1.06085i | −0.0208293 | + | 0.999783i | \(0.506631\pi\) |
−0.998134 | + | 0.0610696i | \(0.980549\pi\) | |||||||
\(572\) | 31.6147 | + | 7.79232i | 1.32188 | + | 0.325813i | ||||
\(573\) | −16.4996 | − | 2.68145i | −0.689281 | − | 0.112019i | ||||
\(574\) | −12.3849 | + | 32.6563i | −0.516936 | + | 1.36305i | ||||
\(575\) | 15.6116 | − | 5.21193i | 0.651051 | − | 0.217353i | ||||
\(576\) | 7.59359 | − | 4.80189i | 0.316399 | − | 0.200079i | ||||
\(577\) | −23.7731 | + | 1.91916i | −0.989685 | + | 0.0798956i | −0.564693 | − | 0.825301i | \(-0.691005\pi\) |
−0.424992 | + | 0.905197i | \(0.639723\pi\) | |||||||
\(578\) | 30.0258 | − | 52.0062i | 1.24891 | − | 2.16317i | ||||
\(579\) | 12.5281 | − | 18.1501i | 0.520651 | − | 0.754293i | ||||
\(580\) | 1.11251 | + | 27.6065i | 0.0461943 | + | 1.14630i | ||||
\(581\) | −18.3767 | − | 7.82957i | −0.762393 | − | 0.324825i | ||||
\(582\) | 5.73108 | + | 15.1116i | 0.237561 | + | 0.626397i | ||||
\(583\) | −15.2314 | − | 7.99407i | −0.630821 | − | 0.331081i | ||||
\(584\) | −0.0664753 | − | 0.229499i | −0.00275077 | − | 0.00949675i | ||||
\(585\) | −13.7603 | + | 8.70148i | −0.568918 | + | 0.359762i | ||||
\(586\) | −34.6980 | − | 11.5839i | −1.43336 | − | 0.478526i | ||||
\(587\) | −20.8797 | + | 30.2495i | −0.861798 | + | 1.24853i | 0.105381 | + | 0.994432i | \(0.466394\pi\) |
−0.967179 | + | 0.254098i | \(0.918221\pi\) | |||||||
\(588\) | 9.77695 | + | 0.789277i | 0.403195 | + | 0.0325492i | ||||
\(589\) | −8.72569 | + | 4.57960i | −0.359536 | + | 0.188699i | ||||
\(590\) | −15.0163 | + | 31.6461i | −0.618210 | + | 1.30285i | ||||
\(591\) | 16.1292 | + | 12.1203i | 0.663467 | + | 0.498563i | ||||
\(592\) | 1.02739 | − | 25.4945i | 0.0422257 | − | 1.04782i | ||||
\(593\) | −9.08173 | + | 19.1393i | −0.372942 | + | 0.785959i | 0.627034 | + | 0.778992i | \(0.284269\pi\) |
−0.999976 | + | 0.00696664i | \(0.997782\pi\) | |||||||
\(594\) | −5.45301 | + | 2.32331i | −0.223740 | + | 0.0953266i | ||||
\(595\) | −6.54729 | − | 32.0707i | −0.268413 | − | 1.31477i | ||||
\(596\) | 9.15405 | + | 24.1372i | 0.374965 | + | 0.988700i | ||||
\(597\) | 7.54045 | + | 9.23538i | 0.308610 | + | 0.377979i | ||||
\(598\) | −37.3851 | − | 6.07568i | −1.52879 | − | 0.248453i | ||||
\(599\) | 3.18320 | − | 26.2160i | 0.130062 | − | 1.07116i | −0.770808 | − | 0.637068i | \(-0.780147\pi\) |
0.900870 | − | 0.434089i | \(-0.142930\pi\) | |||||||
\(600\) | −1.19845 | −0.0489263 | ||||||||
\(601\) | 4.94226 | − | 40.7032i | 0.201599 | − | 1.66032i | −0.443541 | − | 0.896254i | \(-0.646278\pi\) |
0.645140 | − | 0.764064i | \(-0.276799\pi\) | |||||||
\(602\) | −4.82978 | + | 5.02833i | −0.196847 | + | 0.204939i | ||||
\(603\) | 2.94685 | − | 10.1737i | 0.120005 | − | 0.414306i | ||||
\(604\) | 4.65728 | + | 16.0788i | 0.189502 | + | 0.654237i | ||||
\(605\) | −4.38585 | − | 6.35400i | −0.178310 | − | 0.258327i | ||||
\(606\) | −10.9834 | − | 19.0239i | −0.446172 | − | 0.772792i | ||||
\(607\) | 10.5107 | + | 0.848513i | 0.426617 | + | 0.0344401i | 0.291911 | − | 0.956446i | \(-0.405709\pi\) |
0.134706 | + | 0.990886i | \(0.456991\pi\) | |||||||
\(608\) | 18.8364 | − | 3.06122i | 0.763918 | − | 0.124149i | ||||
\(609\) | 1.29389 | − | 6.33787i | 0.0524309 | − | 0.256824i | ||||
\(610\) | −13.4839 | − | 66.0485i | −0.545947 | − | 2.67422i | ||||
\(611\) | 32.7355 | − | 24.5991i | 1.32434 | − | 0.995175i | ||||
\(612\) | 8.24599 | + | 11.9464i | 0.333324 | + | 0.482904i | ||||
\(613\) | −17.0995 | + | 1.38041i | −0.690642 | + | 0.0557544i | −0.420804 | − | 0.907151i | \(-0.638252\pi\) |
−0.269838 | + | 0.962906i | \(0.586970\pi\) | |||||||
\(614\) | −15.8815 | + | 3.91443i | −0.640924 | + | 0.157974i | ||||
\(615\) | 17.2580 | − | 29.8918i | 0.695911 | − | 1.20535i | ||||
\(616\) | −0.583497 | − | 1.01065i | −0.0235098 | − | 0.0407201i | ||||
\(617\) | 24.4516 | + | 25.4568i | 0.984383 | + | 1.02485i | 0.999688 | + | 0.0249680i | \(0.00794840\pi\) |
−0.0153056 | + | 0.999883i | \(0.504872\pi\) | |||||||
\(618\) | 13.0604 | − | 5.56451i | 0.525365 | − | 0.223837i | ||||
\(619\) | −5.35934 | − | 11.2946i | −0.215410 | − | 0.453967i | 0.766767 | − | 0.641926i | \(-0.221864\pi\) |
−0.982177 | + | 0.187958i | \(0.939813\pi\) | |||||||
\(620\) | 20.6533 | + | 18.2972i | 0.829457 | + | 0.734835i | ||||
\(621\) | 3.14673 | − | 1.65153i | 0.126274 | − | 0.0662736i | ||||
\(622\) | 15.3498 | + | 15.9809i | 0.615472 | + | 0.640775i | ||||
\(623\) | 3.51576 | − | 2.64192i | 0.140856 | − | 0.105846i | ||||
\(624\) | −17.3218 | − | 9.09120i | −0.693428 | − | 0.363939i | ||||
\(625\) | 22.5730 | + | 14.2743i | 0.902919 | + | 0.570971i | ||||
\(626\) | 54.6727 | + | 13.4756i | 2.18516 | + | 0.538594i | ||||
\(627\) | −6.87937 | −0.274736 | ||||||||
\(628\) | 22.3013 | − | 14.6010i | 0.889920 | − | 0.582643i | ||||
\(629\) | 46.6880 | 1.86157 | ||||||||
\(630\) | 9.46247 | + | 2.33229i | 0.376994 | + | 0.0929207i | ||||
\(631\) | 24.3408 | + | 15.3922i | 0.968991 | + | 0.612753i | 0.922431 | − | 0.386163i | \(-0.126200\pi\) |
0.0465602 | + | 0.998915i | \(0.485174\pi\) | |||||||
\(632\) | −3.32807 | − | 1.74671i | −0.132384 | − | 0.0694803i | ||||
\(633\) | −13.1911 | + | 9.91250i | −0.524301 | + | 0.393986i | ||||
\(634\) | 33.7499 | + | 35.1374i | 1.34038 | + | 1.39548i | ||||
\(635\) | 18.4406 | − | 9.67838i | 0.731793 | − | 0.384075i | ||||
\(636\) | −9.38846 | − | 8.31745i | −0.372277 | − | 0.329808i | ||||
\(637\) | −10.3692 | − | 21.8527i | −0.410844 | − | 0.865836i | ||||
\(638\) | 22.8199 | − | 9.72266i | 0.903450 | − | 0.384924i | ||||
\(639\) | 7.09536 | + | 7.38706i | 0.280688 | + | 0.292227i | ||||
\(640\) | −3.20580 | − | 5.55261i | −0.126720 | − | 0.219486i | ||||
\(641\) | 4.61591 | − | 7.99499i | 0.182318 | − | 0.315783i | −0.760352 | − | 0.649511i | \(-0.774973\pi\) |
0.942669 | + | 0.333728i | \(0.108307\pi\) | |||||||
\(642\) | 26.4262 | − | 6.51347i | 1.04296 | − | 0.257066i | ||||
\(643\) | 12.4135 | − | 1.00212i | 0.489539 | − | 0.0395197i | 0.166767 | − | 0.985996i | \(-0.446667\pi\) |
0.322772 | + | 0.946477i | \(0.395385\pi\) | |||||||
\(644\) | 6.63843 | + | 9.61743i | 0.261591 | + | 0.378980i | ||||
\(645\) | 5.50842 | − | 4.13931i | 0.216894 | − | 0.162985i | ||||
\(646\) | 6.53810 | + | 32.0257i | 0.257238 | + | 1.26004i | ||||
\(647\) | 7.38659 | − | 36.1819i | 0.290397 | − | 1.42246i | −0.528703 | − | 0.848807i | \(-0.677321\pi\) |
0.819100 | − | 0.573651i | \(-0.194474\pi\) | |||||||
\(648\) | −0.255420 | + | 0.0415098i | −0.0100338 | + | 0.00163066i | ||||
\(649\) | 16.1565 | + | 1.30429i | 0.634199 | + | 0.0511978i | ||||
\(650\) | 24.6797 | + | 42.7466i | 0.968019 | + | 1.67666i | ||||
\(651\) | −3.66974 | − | 5.31654i | −0.143828 | − | 0.208372i | ||||
\(652\) | −3.51950 | − | 12.1507i | −0.137834 | − | 0.475859i | ||||
\(653\) | 5.56932 | − | 19.2275i | 0.217944 | − | 0.752431i | −0.774802 | − | 0.632204i | \(-0.782151\pi\) |
0.992746 | − | 0.120227i | \(-0.0383623\pi\) | |||||||
\(654\) | 6.12137 | − | 6.37302i | 0.239365 | − | 0.249205i | ||||
\(655\) | 4.98312 | − | 41.0397i | 0.194707 | − | 1.60355i | ||||
\(656\) | 41.4739 | 1.61928 | ||||||||
\(657\) | 0.111296 | − | 0.916605i | 0.00434207 | − | 0.0357602i | ||||
\(658\) | −24.1941 | − | 3.93192i | −0.943183 | − | 0.153282i | ||||
\(659\) | 7.60660 | + | 9.31639i | 0.296311 | + | 0.362915i | 0.901207 | − | 0.433390i | \(-0.142683\pi\) |
−0.604896 | + | 0.796305i | \(0.706785\pi\) | |||||||
\(660\) | 6.83049 | + | 18.0105i | 0.265877 | + | 0.701059i | ||||
\(661\) | −9.45663 | − | 46.3216i | −0.367820 | − | 1.80170i | −0.569211 | − | 0.822191i | \(-0.692751\pi\) |
0.201391 | − | 0.979511i | \(-0.435454\pi\) | |||||||
\(662\) | −0.618241 | + | 0.263408i | −0.0240286 | + | 0.0102376i | ||||
\(663\) | 15.3454 | − | 32.3397i | 0.595966 | − | 1.25597i | ||||
\(664\) | 0.134651 | − | 3.34133i | 0.00522548 | − | 0.129669i | ||||
\(665\) | 9.04252 | + | 6.79501i | 0.350654 | + | 0.263499i | ||||
\(666\) | −5.95918 | + | 12.5587i | −0.230914 | + | 0.486640i | ||||
\(667\) | −13.1685 | + | 6.91137i | −0.509887 | + | 0.267609i | ||||
\(668\) | 34.1660 | + | 2.75817i | 1.32192 | + | 0.106717i | ||||
\(669\) | −0.534440 | + | 0.774270i | −0.0206626 | + | 0.0299350i | ||||
\(670\) | −63.3443 | − | 21.1474i | −2.44720 | − | 0.816997i | ||||
\(671\) | −26.3649 | + | 16.6721i | −1.01780 | + | 0.643621i | ||||
\(672\) | 3.48055 | + | 12.0163i | 0.134265 | + | 0.463538i | ||||
\(673\) | −3.87196 | − | 2.03216i | −0.149253 | − | 0.0783341i | 0.388443 | − | 0.921473i | \(-0.373013\pi\) |
−0.537696 | + | 0.843139i | \(0.680705\pi\) | |||||||
\(674\) | −11.9443 | − | 31.4944i | −0.460076 | − | 1.21312i | ||||
\(675\) | −4.26070 | − | 1.81531i | −0.163994 | − | 0.0698715i | ||||
\(676\) | −1.24387 | − | 30.8662i | −0.0478410 | − | 1.18716i | ||||
\(677\) | 5.61767 | − | 8.13860i | 0.215905 | − | 0.312792i | −0.700034 | − | 0.714109i | \(-0.746832\pi\) |
0.915939 | + | 0.401317i | \(0.131447\pi\) | |||||||
\(678\) | 11.9558 | − | 20.7081i | 0.459161 | − | 0.795291i | ||||
\(679\) | −12.2568 | + | 0.989470i | −0.470372 | + | 0.0379724i | ||||
\(680\) | 4.63141 | − | 2.92873i | 0.177607 | − | 0.112312i | ||||
\(681\) | −1.28107 | + | 0.427684i | −0.0490907 | + | 0.0163889i | ||||
\(682\) | 8.78432 | − | 23.1624i | 0.336369 | − | 0.886932i | ||||
\(683\) | −7.37920 | − | 1.19924i | −0.282357 | − | 0.0458875i | 0.0175833 | − | 0.999845i | \(-0.494403\pi\) |
−0.299941 | + | 0.953958i | \(0.596967\pi\) | |||||||
\(684\) | −4.87040 | − | 1.20045i | −0.186224 | − | 0.0459002i | ||||
\(685\) | 17.5472 | − | 18.2685i | 0.670443 | − | 0.698005i | ||||
\(686\) | −12.9293 | + | 34.0916i | −0.493641 | + | 1.30162i | ||||
\(687\) | 9.16298 | − | 8.11769i | 0.349589 | − | 0.309709i | ||||
\(688\) | 7.61678 | + | 3.24521i | 0.290387 | + | 0.123722i | ||||
\(689\) | −6.18684 | + | 30.3052i | −0.235700 | + | 1.15453i | ||||
\(690\) | −9.60544 | − | 20.2430i | −0.365673 | − | 0.770639i | ||||
\(691\) | −5.93562 | − | 4.46033i | −0.225801 | − | 0.169679i | 0.481821 | − | 0.876270i | \(-0.339976\pi\) |
−0.707622 | + | 0.706591i | \(0.750232\pi\) | |||||||
\(692\) | −0.623151 | − | 5.13211i | −0.0236886 | − | 0.195094i | ||||
\(693\) | −0.543591 | − | 4.47688i | −0.0206493 | − | 0.170063i | ||||
\(694\) | −2.75774 | + | 68.4327i | −0.104683 | + | 2.59767i | ||||
\(695\) | −28.8741 | − | 25.5802i | −1.09526 | − | 0.970314i | ||||
\(696\) | 1.06889 | − | 0.173711i | 0.0405162 | − | 0.00658452i | ||||
\(697\) | 3.05575 | + | 75.8277i | 0.115745 | + | 2.87218i | ||||
\(698\) | 32.3583 | − | 39.6317i | 1.22478 | − | 1.50008i | ||||
\(699\) | −24.9663 | + | 8.33499i | −0.944314 | + | 0.315258i | ||||
\(700\) | 4.23705 | − | 14.6280i | 0.160145 | − | 0.552886i | ||||
\(701\) | 20.2521 | + | 12.8066i | 0.764910 | + | 0.483700i | 0.859071 | − | 0.511857i | \(-0.171042\pi\) |
−0.0941604 | + | 0.995557i | \(0.530017\pi\) | |||||||
\(702\) | 6.74048 | + | 8.25559i | 0.254403 | + | 0.311587i | ||||
\(703\) | −12.0762 | + | 10.6986i | −0.455462 | + | 0.403504i | ||||
\(704\) | −16.5782 | + | 20.3046i | −0.624814 | + | 0.765258i | ||||
\(705\) | 22.9772 | + | 7.67092i | 0.865372 | + | 0.288903i | ||||
\(706\) | 36.3542 | − | 8.96049i | 1.36821 | − | 0.337233i | ||||
\(707\) | 16.2277 | − | 3.99977i | 0.610305 | − | 0.150427i | ||||
\(708\) | 11.2108 | + | 3.74270i | 0.421326 | + | 0.140659i | ||||
\(709\) | −0.448827 | + | 0.549713i | −0.0168560 | + | 0.0206449i | −0.782964 | − | 0.622067i | \(-0.786293\pi\) |
0.766108 | + | 0.642712i | \(0.222191\pi\) | |||||||
\(710\) | 48.3383 | − | 42.8240i | 1.81411 | − | 1.60716i | ||||
\(711\) | −9.18615 | − | 11.2510i | −0.344507 | − | 0.421945i | ||||
\(712\) | 0.622256 | + | 0.393491i | 0.0233200 | + | 0.0147467i | ||||
\(713\) | −4.13220 | + | 14.2660i | −0.154752 | + | 0.534267i | ||||
\(714\) | −20.3247 | + | 6.78538i | −0.760633 | + | 0.253937i | ||||
\(715\) | 30.0412 | − | 36.7938i | 1.12348 | − | 1.37601i | ||||
\(716\) | −0.340787 | − | 8.45655i | −0.0127358 | − | 0.316036i | ||||
\(717\) | 3.87561 | − | 0.629847i | 0.144737 | − | 0.0235221i | ||||
\(718\) | −1.08333 | − | 0.959751i | −0.0404297 | − | 0.0358176i | ||||
\(719\) | −0.750610 | + | 18.6262i | −0.0279930 | + | 0.694640i | 0.922885 | + | 0.385075i | \(0.125824\pi\) |
−0.950878 | + | 0.309565i | \(0.899817\pi\) | |||||||
\(720\) | −1.39495 | − | 11.4884i | −0.0519866 | − | 0.428148i | ||||
\(721\) | 1.30194 | + | 10.7225i | 0.0484869 | + | 0.399326i | ||||
\(722\) | 21.8289 | + | 16.4033i | 0.812387 | + | 0.610469i | ||||
\(723\) | 6.31312 | + | 13.3046i | 0.234787 | + | 0.494804i | ||||
\(724\) | 7.49467 | − | 36.7113i | 0.278537 | − | 1.36436i | ||||
\(725\) | 17.8303 | + | 7.59679i | 0.662201 | + | 0.282138i | ||||
\(726\) | −3.78310 | + | 3.35154i | −0.140404 | + | 0.124387i | ||||
\(727\) | −4.65621 | + | 12.2774i | −0.172689 | + | 0.455344i | −0.993219 | − | 0.116260i | \(-0.962909\pi\) |
0.820530 | + | 0.571604i | \(0.193679\pi\) | |||||||
\(728\) | −1.45358 | + | 1.51334i | −0.0538733 | + | 0.0560880i | ||||
\(729\) | −0.970942 | − | 0.239316i | −0.0359608 | − | 0.00886354i | ||||
\(730\) | −5.74618 | − | 0.933845i | −0.212676 | − | 0.0345631i | ||||
\(731\) | −5.37209 | + | 14.1650i | −0.198694 | + | 0.523913i | ||||
\(732\) | −21.5749 | + | 7.20274i | −0.797430 | + | 0.266221i | ||||
\(733\) | −1.51176 | + | 0.955980i | −0.0558382 | + | 0.0353099i | −0.562093 | − | 0.827074i | \(-0.690004\pi\) |
0.506255 | + | 0.862384i | \(0.331029\pi\) | |||||||
\(734\) | −5.66421 | + | 0.457262i | −0.209070 | + | 0.0168779i | ||||
\(735\) | 7.15455 | − | 12.3921i | 0.263900 | − | 0.457088i | ||||
\(736\) | 16.3388 | − | 23.6709i | 0.602258 | − | 0.872521i | ||||
\(737\) | 1.24432 | + | 30.8776i | 0.0458352 | + | 1.13739i | ||||
\(738\) | −20.7871 | − | 8.85656i | −0.765184 | − | 0.326014i | ||||
\(739\) | 6.10395 | + | 16.0948i | 0.224537 | + | 0.592056i | 0.999186 | − | 0.0403354i | \(-0.0128426\pi\) |
−0.774649 | + | 0.632392i | \(0.782073\pi\) | |||||||
\(740\) | 39.9997 | + | 20.9935i | 1.47042 | + | 0.771735i | ||||
\(741\) | 3.44146 | + | 11.8813i | 0.126425 | + | 0.436471i | ||||
\(742\) | 15.6486 | − | 9.89558i | 0.574479 | − | 0.363278i | ||||
\(743\) | 33.5232 | + | 11.1917i | 1.22985 | + | 0.410583i | 0.856033 | − | 0.516921i | \(-0.172922\pi\) |
0.373813 | + | 0.927504i | \(0.378050\pi\) | |||||||
\(744\) | 0.614354 | − | 0.890046i | 0.0225233 | − | 0.0326307i | ||||
\(745\) | 37.5368 | + | 3.03028i | 1.37524 | + | 0.111021i | ||||
\(746\) | −39.6795 | + | 20.8254i | −1.45277 | + | 0.762471i | ||||
\(747\) | 5.53991 | − | 11.6751i | 0.202695 | − | 0.427170i | ||||
\(748\) | −33.8574 | − | 25.4422i | −1.23795 | − | 0.930258i | ||||
\(749\) | −0.833824 | + | 20.6911i | −0.0304673 | + | 0.756038i | ||||
\(750\) | 0.996551 | − | 2.10019i | 0.0363889 | − | 0.0766880i | ||||
\(751\) | −26.1102 | + | 11.1245i | −0.952775 | + | 0.405940i | −0.811710 | − | 0.584061i | \(-0.801463\pi\) |
−0.141065 | + | 0.990000i | \(0.545053\pi\) | |||||||
\(752\) | 5.82214 | + | 28.5187i | 0.212311 | + | 1.03997i | ||||
\(753\) | 10.7295 | + | 28.2913i | 0.391004 | + | 1.03099i | ||||
\(754\) | −28.2078 | − | 34.5483i | −1.02727 | − | 1.25817i | ||||
\(755\) | 24.1038 | + | 3.91725i | 0.877228 | + | 0.142563i | ||||
\(756\) | 0.396365 | − | 3.26436i | 0.0144156 | − | 0.118724i | ||||
\(757\) | −3.60954 | −0.131191 | −0.0655954 | − | 0.997846i | \(-0.520895\pi\) | ||||
−0.0655954 | + | 0.997846i | \(0.520895\pi\) | |||||||
\(758\) | 5.69612 | − | 46.9118i | 0.206892 | − | 1.70391i | ||||
\(759\) | −7.18247 | + | 7.47774i | −0.260707 | + | 0.271425i | ||||
\(760\) | −0.526829 | + | 1.81883i | −0.0191101 | + | 0.0659758i | ||||
\(761\) | −10.9839 | − | 37.9209i | −0.398167 | − | 1.37463i | −0.870046 | − | 0.492970i | \(-0.835911\pi\) |
0.471879 | − | 0.881663i | \(-0.343576\pi\) | |||||||
\(762\) | −7.74463 | − | 11.2200i | −0.280558 | − | 0.406459i | ||||
\(763\) | 3.36166 | + | 5.82256i | 0.121700 | + | 0.210791i | ||||
\(764\) | 35.4460 | + | 2.86150i | 1.28239 | + | 0.103525i | ||||
\(765\) | 20.9018 | − | 3.39687i | 0.755705 | − | 0.122814i | ||||
\(766\) | −2.88494 | + | 14.1314i | −0.104237 | + | 0.510587i | ||||
\(767\) | −5.82980 | − | 28.5563i | −0.210502 | − | 1.03111i | ||||
\(768\) | 11.0097 | − | 8.27326i | 0.397279 | − | 0.298536i | ||||
\(769\) | 24.9105 | + | 36.0892i | 0.898297 | + | 1.30141i | 0.953020 | + | 0.302907i | \(0.0979570\pi\) |
−0.0547231 | + | 0.998502i | \(0.517428\pi\) | |||||||
\(770\) | −28.3415 | + | 2.28796i | −1.02136 | + | 0.0824523i | ||||
\(771\) | −8.20122 | + | 2.02142i | −0.295360 | + | 0.0727997i | ||||
\(772\) | −23.4586 | + | 40.6314i | −0.844293 | + | 1.46236i | ||||
\(773\) | −22.6072 | − | 39.1569i | −0.813125 | − | 1.40837i | −0.910666 | − | 0.413143i | \(-0.864431\pi\) |
0.0975410 | − | 0.995232i | \(-0.468902\pi\) | |||||||
\(774\) | −3.12460 | − | 3.25306i | −0.112312 | − | 0.116929i | ||||
\(775\) | 17.8068 | − | 7.58678i | 0.639640 | − | 0.272525i | ||||
\(776\) | −0.882504 | − | 1.85984i | −0.0316800 | − | 0.0667643i | ||||
\(777\) | −7.91651 | − | 7.01342i | −0.284003 | − | 0.251605i | ||||
\(778\) | 47.4557 | − | 24.9067i | 1.70137 | − | 0.892948i | ||||
\(779\) | −18.1663 | − | 18.9131i | −0.650876 | − | 0.677634i | ||||
\(780\) | 27.6888 | − | 20.8068i | 0.991419 | − | 0.745003i | ||||
\(781\) | −26.4608 | − | 13.8877i | −0.946841 | − | 0.496940i | ||||
\(782\) | 41.6375 | + | 26.3299i | 1.48895 | + | 0.941557i | ||||
\(783\) | 4.06323 | + | 1.00150i | 0.145208 | + | 0.0357905i | ||||
\(784\) | 17.1936 | 0.614056 | ||||||||
\(785\) | −5.29672 | − | 38.5235i | −0.189048 | − | 1.37496i | ||||
\(786\) | −27.0630 | −0.965307 | ||||||||
\(787\) | 24.4472 | + | 6.02569i | 0.871448 | + | 0.214793i | 0.649589 | − | 0.760286i | \(-0.274941\pi\) |
0.221860 | + | 0.975079i | \(0.428787\pi\) | |||||||
\(788\) | −36.2764 | − | 22.9398i | −1.29229 | − | 0.817197i | ||||
\(789\) | 4.23090 | + | 2.22055i | 0.150624 | + | 0.0790536i | ||||
\(790\) | −73.2111 | + | 55.0146i | −2.60473 | + | 1.95733i | ||||
\(791\) | 12.6028 | + | 13.1209i | 0.448103 | + | 0.466524i | ||||
\(792\) | 0.668504 | − | 0.350858i | 0.0237542 | − | 0.0124672i | ||||
\(793\) | 41.9835 | + | 37.1942i | 1.49088 | + | 1.32080i | ||||
\(794\) | 28.7636 | + | 60.6181i | 1.02078 | + | 2.15126i | ||||
\(795\) | −16.8334 | + | 7.17206i | −0.597021 | + | 0.254367i | ||||
\(796\) | −17.5703 | − | 18.2926i | −0.622762 | − | 0.648364i | ||||
\(797\) | −27.0994 | − | 46.9375i | −0.959909 | − | 1.66261i | −0.722712 | − | 0.691149i | \(-0.757105\pi\) |
−0.237197 | − | 0.971462i | \(-0.576229\pi\) | |||||||
\(798\) | 3.70226 | − | 6.41250i | 0.131059 | − | 0.227000i | ||||
\(799\) | −51.7125 | + | 12.7460i | −1.82946 | + | 0.450920i | ||||
\(800\) | −37.3615 | + | 3.01613i | −1.32093 | + | 0.106636i | ||||
\(801\) | 1.61621 | + | 2.34148i | 0.0571059 | + | 0.0827322i | ||||
\(802\) | 3.62133 | − | 2.72125i | 0.127873 | − | 0.0960907i | ||||
\(803\) | 0.538850 | + | 2.63946i | 0.0190156 | + | 0.0931445i | ||||
\(804\) | −4.50717 | + | 22.0776i | −0.158956 | + | 0.778616i | ||||
\(805\) | 16.8270 | − | 2.73465i | 0.593072 | − | 0.0963837i | ||||
\(806\) | −44.3979 | − | 3.58417i | −1.56385 | − | 0.126247i | ||||
\(807\) | 14.6577 | + | 25.3879i | 0.515975 | + | 0.893695i | ||||
\(808\) | 1.58944 | + | 2.30271i | 0.0559164 | + | 0.0810089i | ||||
\(809\) | −8.44991 | − | 29.1725i | −0.297083 | − | 1.02565i | −0.960703 | − | 0.277580i | \(-0.910468\pi\) |
0.663620 | − | 0.748070i | \(-0.269019\pi\) | |||||||
\(810\) | −1.75414 | + | 6.05599i | −0.0616341 | + | 0.212786i | ||||
\(811\) | 19.6952 | − | 20.5048i | 0.691591 | − | 0.720022i | −0.279125 | − | 0.960255i | \(-0.590044\pi\) |
0.970715 | + | 0.240233i | \(0.0772237\pi\) | |||||||
\(812\) | −1.65872 | + | 13.6608i | −0.0582097 | + | 0.479400i | ||||
\(813\) | −4.70194 | −0.164904 | ||||||||
\(814\) | 4.88856 | − | 40.2609i | 0.171344 | − | 1.41114i | ||||
\(815\) | −18.2152 | − | 2.96026i | −0.638051 | − | 0.103693i | ||||
\(816\) | 16.0924 | + | 19.7096i | 0.563346 | + | 0.689973i | ||||
\(817\) | −1.85639 | − | 4.89490i | −0.0649469 | − | 0.171251i | ||||
\(818\) | −4.73388 | − | 23.1881i | −0.165516 | − | 0.810752i | ||||
\(819\) | −7.46004 | + | 3.17843i | −0.260675 | + | 0.111063i | ||||
\(820\) | −31.4783 | + | 66.3391i | −1.09927 | + | 2.31666i | ||||
\(821\) | 0.973237 | − | 24.1506i | 0.0339662 | − | 0.842862i | −0.888983 | − | 0.457940i | \(-0.848587\pi\) |
0.922949 | − | 0.384922i | \(-0.125772\pi\) | |||||||
\(822\) | −13.2565 | − | 9.96160i | −0.462373 | − | 0.347451i | ||||
\(823\) | −17.7869 | + | 37.4850i | −0.620011 | + | 1.30665i | 0.314007 | + | 0.949421i | \(0.398328\pi\) |
−0.934018 | + | 0.357225i | \(0.883723\pi\) | |||||||
\(824\) | −1.60112 | + | 0.840331i | −0.0557776 | + | 0.0292743i | ||||
\(825\) | 13.4683 | + | 1.08728i | 0.468907 | + | 0.0378541i | ||||
\(826\) | −9.91069 | + | 14.3581i | −0.344837 | + | 0.499583i | ||||
\(827\) | 36.4984 | + | 12.1850i | 1.26917 | + | 0.423713i | 0.869950 | − | 0.493141i | \(-0.164151\pi\) |
0.399224 | + | 0.916853i | \(0.369279\pi\) | |||||||
\(828\) | −6.38984 | + | 4.04069i | −0.222062 | + | 0.140424i | ||||
\(829\) | 4.26185 | + | 14.7136i | 0.148020 | + | 0.511024i | 0.999920 | − | 0.0126808i | \(-0.00403654\pi\) |
−0.851900 | + | 0.523705i | \(0.824549\pi\) | |||||||
\(830\) | −72.1445 | − | 37.8643i | −2.50417 | − | 1.31429i | ||||
\(831\) | 4.56949 | + | 12.0488i | 0.158514 | + | 0.417967i | ||||
\(832\) | 43.3612 | + | 18.4745i | 1.50328 | + | 0.640488i | ||||
\(833\) | 1.26680 | + | 31.4354i | 0.0438921 | + | 1.08917i | ||||
\(834\) | −14.3451 | + | 20.7824i | −0.496730 | + | 0.719637i | ||||
\(835\) | 25.0019 | − | 43.3046i | 0.865228 | − | 1.49862i | ||||
\(836\) | 14.5875 | − | 1.17763i | 0.504521 | − | 0.0407291i | ||||
\(837\) | 3.53232 | − | 2.23370i | 0.122095 | − | 0.0772081i | ||||
\(838\) | −56.4752 | + | 18.8542i | −1.95091 | + | 0.651308i | ||||
\(839\) | 18.6401 | − | 49.1499i | 0.643527 | − | 1.69684i | −0.0712210 | − | 0.997461i | \(-0.522690\pi\) |
0.714748 | − | 0.699382i | \(-0.246541\pi\) | |||||||
\(840\) | −1.22526 | − | 0.199125i | −0.0422756 | − | 0.00687045i | ||||
\(841\) | 11.1534 | + | 2.74906i | 0.384599 | + | 0.0947953i | ||||
\(842\) | −35.8578 | + | 37.3319i | −1.23574 | + | 1.28654i | ||||
\(843\) | 0.0527967 | − | 0.139214i | 0.00181842 | − | 0.00479477i | ||||
\(844\) | 26.2746 | − | 23.2773i | 0.904410 | − | 0.801238i | ||||
\(845\) | −41.4584 | − | 17.6638i | −1.42621 | − | 0.607653i | ||||
\(846\) | 3.17193 | − | 15.5371i | 0.109053 | − | 0.534178i | ||||
\(847\) | −1.64851 | − | 3.47416i | −0.0566434 | − | 0.119374i | ||||
\(848\) | −17.5766 | − | 13.2080i | −0.603584 | − | 0.453564i | ||||
\(849\) | −0.671762 | − | 5.53246i | −0.0230548 | − | 0.189873i | ||||
\(850\) | −7.73856 | − | 63.7328i | −0.265430 | − | 2.18602i | ||||
\(851\) | −0.979114 | + | 24.2965i | −0.0335636 | + | 0.832872i | ||||
\(852\) | −16.3101 | − | 14.4495i | −0.558774 | − | 0.495031i | ||||
\(853\) | −33.8145 | + | 5.49539i | −1.15779 | + | 0.188158i | −0.708819 | − | 0.705390i | \(-0.750772\pi\) |
−0.448966 | + | 0.893549i | \(0.648208\pi\) | |||||||
\(854\) | −1.35194 | − | 33.5480i | −0.0462624 | − | 1.14799i | ||||
\(855\) | −4.62800 | + | 5.66827i | −0.158274 | + | 0.193851i | ||||
\(856\) | −3.28832 | + | 1.09780i | −0.112392 | + | 0.0375221i | ||||
\(857\) | −5.51323 | + | 19.0339i | −0.188328 | + | 0.650185i | 0.809666 | + | 0.586890i | \(0.199648\pi\) |
−0.997995 | + | 0.0632947i | \(0.979839\pi\) | |||||||
\(858\) | −26.2811 | − | 16.6192i | −0.897222 | − | 0.567369i | ||||
\(859\) | 31.6103 | + | 38.7156i | 1.07853 | + | 1.32096i | 0.943962 | + | 0.330053i | \(0.107067\pi\) |
0.134566 | + | 0.990905i | \(0.457036\pi\) | |||||||
\(860\) | −10.9719 | + | 9.72025i | −0.374139 | + | 0.331458i | ||||
\(861\) | 10.8726 | − | 13.3165i | 0.370538 | − | 0.453826i | ||||
\(862\) | −30.6999 | − | 10.2491i | −1.04564 | − | 0.349087i | ||||
\(863\) | −10.0749 | + | 2.48323i | −0.342953 | + | 0.0845302i | −0.407030 | − | 0.913415i | \(-0.633436\pi\) |
0.0640776 | + | 0.997945i | \(0.479589\pi\) | |||||||
\(864\) | −7.85823 | + | 1.93688i | −0.267343 | + | 0.0658940i | ||||
\(865\) | −7.15363 | − | 2.38823i | −0.243231 | − | 0.0812024i | ||||
\(866\) | −34.3015 | + | 42.0117i | −1.16561 | + | 1.42762i | ||||
\(867\) | −22.1251 | + | 19.6011i | −0.751409 | + | 0.665690i | ||||
\(868\) | 8.69169 | + | 10.6454i | 0.295015 | + | 0.361328i | ||||
\(869\) | 35.8167 | + | 22.6491i | 1.21500 | + | 0.768319i | ||||
\(870\) | 7.34077 | − | 25.3433i | 0.248875 | − | 0.859218i | ||||
\(871\) | 52.7059 | − | 17.5958i | 1.78587 | − | 0.596211i | ||||
\(872\) | −0.711852 | + | 0.871861i | −0.0241064 | + | 0.0295249i | ||||
\(873\) | −0.320326 | − | 7.94882i | −0.0108414 | − | 0.269027i | ||||
\(874\) | −16.8033 | + | 2.73081i | −0.568381 | + | 0.0923710i | ||||
\(875\) | 1.32387 | + | 1.17285i | 0.0447551 | + | 0.0396496i | ||||
\(876\) | −0.0790937 | + | 1.96269i | −0.00267233 | + | 0.0663132i | ||||
\(877\) | 3.13463 | + | 25.8160i | 0.105849 | + | 0.871744i | 0.944825 | + | 0.327575i | \(0.106232\pi\) |
−0.838976 | + | 0.544168i | \(0.816845\pi\) | |||||||
\(878\) | −5.42035 | − | 44.6406i | −0.182928 | − | 1.50655i | ||||
\(879\) | 14.3946 | + | 10.8169i | 0.485519 | + | 0.364844i | ||||
\(880\) | 14.4746 | + | 30.5045i | 0.487937 | + | 1.02831i | ||||
\(881\) | −0.939063 | + | 4.59983i | −0.0316378 | + | 0.154972i | −0.992541 | − | 0.121913i | \(-0.961097\pi\) |
0.960903 | + | 0.276885i | \(0.0893022\pi\) | |||||||
\(882\) | −8.61758 | − | 3.67161i | −0.290169 | − | 0.123629i | ||||
\(883\) | 34.9589 | − | 30.9709i | 1.17646 | − | 1.04225i | 0.178158 | − | 0.984002i | \(-0.442986\pi\) |
0.998302 | − | 0.0582503i | \(-0.0185522\pi\) | |||||||
\(884\) | −27.0035 | + | 71.2025i | −0.908227 | + | 2.39480i | ||||
\(885\) | 11.9437 | − | 12.4347i | 0.401484 | − | 0.417989i | ||||
\(886\) | 54.0698 | + | 13.3270i | 1.81651 | + | 0.447730i | ||||
\(887\) | 6.24733 | + | 1.01529i | 0.209765 | + | 0.0340901i | 0.264385 | − | 0.964417i | \(-0.414831\pi\) |
−0.0546208 | + | 0.998507i | \(0.517395\pi\) | |||||||
\(888\) | 0.627862 | − | 1.65554i | 0.0210697 | − | 0.0555561i | ||||
\(889\) | 9.83903 | − | 3.28475i | 0.329990 | − | 0.110167i | ||||
\(890\) | 15.1612 | − | 9.58735i | 0.508204 | − | 0.321369i | ||||
\(891\) | 2.90811 | − | 0.234767i | 0.0974253 | − | 0.00786498i | ||||
\(892\) | 1.00073 | − | 1.73331i | 0.0335068 | − | 0.0580354i | ||||
\(893\) | 10.4551 | − | 15.1468i | 0.349865 | − | 0.506867i | ||||
\(894\) | −0.992658 | − | 24.6326i | −0.0331994 | − | 0.823836i | ||||
\(895\) | −11.3585 | − | 4.83942i | −0.379674 | − | 0.161764i | ||||
\(896\) | −1.13240 | − | 2.98590i | −0.0378309 | − | 0.0997519i | ||||
\(897\) | 16.5078 | + | 8.66397i | 0.551180 | + | 0.289282i | ||||
\(898\) | 7.42359 | + | 25.6292i | 0.247728 | + | 0.855257i | ||||
\(899\) | −14.7822 | + | 9.34767i | −0.493013 | + | 0.311762i | ||||
\(900\) | 9.34546 | + | 3.11997i | 0.311515 | + | 0.103999i | ||||
\(901\) | 22.8534 | − | 33.1089i | 0.761358 | − | 1.10302i | ||||
\(902\) | 65.7092 | + | 5.30460i | 2.18788 | + | 0.176624i | ||||
\(903\) | 3.03876 | − | 1.59487i | 0.101124 | − | 0.0530738i | ||||
\(904\) | −1.30567 | + | 2.75165i | −0.0434261 | + | 0.0915185i | ||||
\(905\) | −43.6971 | − | 32.8362i | −1.45254 | − | 1.09151i | ||||
\(906\) | 0.643693 | − | 15.9731i | 0.0213853 | − | 0.530670i | ||||
\(907\) | 4.61208 | − | 9.71974i | 0.153141 | − | 0.322739i | −0.812351 | − | 0.583168i | \(-0.801813\pi\) |
0.965493 | + | 0.260429i | \(0.0838641\pi\) | |||||||
\(908\) | 2.64326 | − | 1.12619i | 0.0877198 | − | 0.0373739i | ||||
\(909\) | 2.16281 | + | 10.5941i | 0.0717357 | + | 0.351385i | ||||
\(910\) | 18.1296 | + | 47.8037i | 0.600989 | + | 1.58468i | ||||
\(911\) | −4.12656 | − | 5.05412i | −0.136719 | − | 0.167451i | 0.701707 | − | 0.712465i | \(-0.252421\pi\) |
−0.838426 | + | 0.545015i | \(0.816524\pi\) | |||||||
\(912\) | −8.67886 | − | 1.41045i | −0.287386 | − | 0.0467047i | ||||
\(913\) | −4.54462 | + | 37.4283i | −0.150405 | + | 1.23870i | ||||
\(914\) | 25.9342 | 0.857826 | ||||||||
\(915\) | −3.99956 | + | 32.9393i | −0.132221 | + | 1.08894i | ||||
\(916\) | −18.0403 | + | 18.7819i | −0.596067 | + | 0.620571i | ||||
\(917\) | 5.72870 | − | 19.7778i | 0.189178 | − | 0.653120i | ||||
\(918\) | −3.85676 | − | 13.3151i | −0.127292 | − | 0.439463i | ||||
\(919\) | −8.95100 | − | 12.9678i | −0.295266 | − | 0.427767i | 0.647072 | − | 0.762429i | \(-0.275993\pi\) |
−0.942338 | + | 0.334662i | \(0.891378\pi\) | |||||||
\(920\) | 1.42699 | + | 2.47161i | 0.0470464 | + | 0.0814867i | ||||
\(921\) | 8.02509 | + | 0.647852i | 0.264436 | + | 0.0213475i | ||||
\(922\) | −25.7760 | + | 4.18900i | −0.848886 | + | 0.137957i | ||||
\(923\) | −10.7481 | + | 52.6476i | −0.353777 | + | 1.73292i | ||||
\(924\) | 1.91904 | + | 9.40006i | 0.0631316 | + | 0.309239i | ||||
\(925\) | 25.3334 | − | 19.0368i | 0.832958 | − | 0.625927i | ||||
\(926\) | 19.6922 | + | 28.5291i | 0.647127 | + | 0.937525i | ||||
\(927\) | −6.96515 | + | 0.562285i | −0.228765 | + | 0.0184679i | ||||
\(928\) | 32.8854 | − | 8.10552i | 1.07952 | − | 0.266077i | ||||
\(929\) | 16.4190 | − | 28.4386i | 0.538690 | − | 0.933039i | −0.460285 | − | 0.887771i | \(-0.652253\pi\) |
0.998975 | − | 0.0452675i | \(-0.0144140\pi\) | |||||||
\(930\) | −13.1751 | − | 22.8200i | −0.432029 | − | 0.748297i | ||||
\(931\) | −7.53110 | − | 7.84070i | −0.246822 | − | 0.256969i | ||||
\(932\) | 51.5137 | − | 21.9479i | 1.68739 | − | 0.718928i | ||||
\(933\) | −4.67576 | − | 9.85396i | −0.153078 | − | 0.322604i | ||||
\(934\) | −30.8712 | − | 27.3495i | −1.01014 | − | 0.894904i | ||||
\(935\) | −54.7056 | + | 28.7117i | −1.78906 | + | 0.938974i | ||||
\(936\) | −0.940388 | − | 0.979047i | −0.0307375 | − | 0.0320012i | ||||
\(937\) | −25.9964 | + | 19.5350i | −0.849265 | + | 0.638182i | −0.933624 | − | 0.358254i | \(-0.883372\pi\) |
0.0843588 | + | 0.996435i | \(0.473116\pi\) | |||||||
\(938\) | −29.4517 | − | 15.4574i | −0.961632 | − | 0.504703i | ||||
\(939\) | −23.4258 | − | 14.8136i | −0.764473 | − | 0.483423i | ||||
\(940\) | −50.0357 | − | 12.3327i | −1.63199 | − | 0.402248i | ||||
\(941\) | −37.0618 | −1.20818 | −0.604090 | − | 0.796916i | \(-0.706463\pi\) | ||||
−0.604090 | + | 0.796916i | \(0.706463\pi\) | |||||||
\(942\) | −24.6167 | + | 6.48186i | −0.802056 | + | 0.211190i | ||||
\(943\) | −39.5249 | −1.28711 | ||||||||
\(944\) | 20.1153 | + | 4.95797i | 0.654696 | + | 0.161368i | ||||
\(945\) | −4.05442 | − | 2.56386i | −0.131890 | − | 0.0834024i | ||||
\(946\) | 11.6526 | + | 6.11575i | 0.378858 | + | 0.198840i | ||||
\(947\) | 35.5891 | − | 26.7435i | 1.15649 | − | 0.869046i | 0.163419 | − | 0.986557i | \(-0.447748\pi\) |
0.993072 | + | 0.117510i | \(0.0374913\pi\) | |||||||
\(948\) | 21.4050 | + | 22.2849i | 0.695201 | + | 0.723781i | ||||
\(949\) | 4.28902 | − | 2.25105i | 0.139228 | − | 0.0730723i | ||||
\(950\) | 16.6060 | + | 14.7116i | 0.538770 | + | 0.477309i | ||||
\(951\) | −10.2807 | − | 21.6660i | −0.333373 | − | 0.702569i | ||||
\(952\) | 2.51089 | − | 1.06979i | 0.0813783 | − | 0.0346720i | ||||
\(953\) | −21.0773 | − | 21.9438i | −0.682762 | − | 0.710830i | 0.286164 | − | 0.958181i | \(-0.407620\pi\) |
−0.968926 | + | 0.247350i | \(0.920440\pi\) | |||||||
\(954\) | 5.98907 | + | 10.3734i | 0.193903 | + | 0.335850i | ||||
\(955\) | 25.9386 | − | 44.9270i | 0.839353 | − | 1.45380i | ||||
\(956\) | −8.11031 | + | 1.99901i | −0.262306 | + | 0.0646527i | ||||
\(957\) | −12.1699 | + | 0.982460i | −0.393399 | + | 0.0317584i | ||||
\(958\) | 34.6948 | + | 50.2641i | 1.12094 | + | 1.62396i | ||||
\(959\) | 10.0861 | − | 7.57922i | 0.325697 | − | 0.244746i | ||||
\(960\) | 5.57726 | + | 27.3192i | 0.180005 | + | 0.881724i | ||||
\(961\) | 2.70701 | − | 13.2598i | 0.0873228 | − | 0.427736i | ||||
\(962\) | −71.9798 | + | 11.6979i | −2.32072 | + | 0.377154i | ||||
\(963\) | −13.3535 | − | 1.07800i | −0.430309 | − | 0.0347382i | ||||
\(964\) | −15.6643 | − | 27.1314i | −0.504514 | − | 0.873844i | ||||
\(965\) | 38.8802 | + | 56.3277i | 1.25160 | + | 1.81325i | ||||
\(966\) | −3.10488 | − | 10.7193i | −0.0998980 | − | 0.344888i | ||||
\(967\) | 12.2419 | − | 42.2640i | 0.393673 | − | 1.35912i | −0.481983 | − | 0.876181i | \(-0.660083\pi\) |
0.875656 | − | 0.482936i | \(-0.160430\pi\) | |||||||
\(968\) | 0.445953 | − | 0.464286i | 0.0143335 | − | 0.0149227i | ||||
\(969\) | 1.93931 | − | 15.9717i | 0.0622997 | − | 0.513084i | ||||
\(970\) | −50.1573 | −1.61045 | ||||||||
\(971\) | −5.14095 | + | 42.3395i | −0.164981 | + | 1.35874i | 0.641338 | + | 0.767259i | \(0.278380\pi\) |
−0.806319 | + | 0.591481i | \(0.798543\pi\) | |||||||
\(972\) | 2.09982 | + | 0.341255i | 0.0673519 | + | 0.0109457i | ||||
\(973\) | −12.1513 | − | 14.8827i | −0.389553 | − | 0.477116i | ||||
\(974\) | −0.366447 | − | 0.966242i | −0.0117417 | − | 0.0309604i | ||||
\(975\) | −4.85981 | − | 23.8049i | −0.155639 | − | 0.762368i | ||||
\(976\) | −36.6796 | + | 15.6277i | −1.17408 | + | 0.500230i | ||||
\(977\) | −22.8465 | + | 48.1480i | −0.730924 | + | 1.54039i | 0.106791 | + | 0.994282i | \(0.465943\pi\) |
−0.837715 | + | 0.546108i | \(0.816109\pi\) | |||||||
\(978\) | −0.486438 | + | 12.0708i | −0.0155546 | + | 0.385982i | ||||
\(979\) | −6.63602 | − | 4.98665i | −0.212088 | − | 0.159374i | ||||
\(980\) | −13.0498 | + | 27.5018i | −0.416859 | + | 0.878512i | ||||
\(981\) | −3.85140 | + | 2.02137i | −0.122966 | + | 0.0645373i | ||||
\(982\) | −39.2424 | − | 3.16797i | −1.25227 | − | 0.101094i | ||||
\(983\) | 0.918913 | − | 1.33128i | 0.0293088 | − | 0.0424611i | −0.808056 | − | 0.589106i | \(-0.799480\pi\) |
0.837364 | + | 0.546645i | \(0.184095\pi\) | |||||||
\(984\) | 2.72991 | + | 0.911378i | 0.0870264 | + | 0.0290537i | ||||
\(985\) | −52.9204 | + | 33.4648i | −1.68618 | + | 1.06628i | ||||
\(986\) | 16.1399 | + | 55.7214i | 0.513999 | + | 1.77453i | ||||
\(987\) | 10.6832 | + | 5.60696i | 0.340049 | + | 0.178471i | ||||
\(988\) | −9.33140 | − | 24.6049i | −0.296872 | − | 0.782786i | ||||
\(989\) | −7.25884 | − | 3.09270i | −0.230818 | − | 0.0983423i | ||||
\(990\) | −0.740693 | − | 18.3801i | −0.0235408 | − | 0.584158i | ||||
\(991\) | −23.7420 | + | 34.3962i | −0.754188 | + | 1.09263i | 0.238407 | + | 0.971165i | \(0.423375\pi\) |
−0.992596 | + | 0.121465i | \(0.961241\pi\) | |||||||
\(992\) | 16.9125 | − | 29.2933i | 0.536972 | − | 0.930062i | ||||
\(993\) | 0.329710 | − | 0.0266169i | 0.0104630 | − | 0.000844663i | ||||
\(994\) | 27.1855 | − | 17.1911i | 0.862272 | − | 0.545268i | ||||
\(995\) | −35.0971 | + | 11.7171i | −1.11265 | + | 0.371458i | ||||
\(996\) | −9.74866 | + | 25.7051i | −0.308898 | + | 0.814498i | ||||
\(997\) | 4.47780 | + | 0.727714i | 0.141813 | + | 0.0230469i | 0.230904 | − | 0.972977i | \(-0.425832\pi\) |
−0.0890901 | + | 0.996024i | \(0.528396\pi\) | |||||||
\(998\) | −12.6327 | − | 3.11367i | −0.399880 | − | 0.0985616i | ||||
\(999\) | 4.73985 | − | 4.93470i | 0.149962 | − | 0.156127i |
(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 | 471.2.q.b.19.12 | ✓ | 336 | |
157.124 | even | 39 | inner | 471.2.q.b.124.12 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
471.2.q.b.19.12 | ✓ | 336 | 1.1 | even | 1 | trivial | |
471.2.q.b.124.12 | yes | 336 | 157.124 | even | 39 | inner |