Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(4,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.u (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.10 | ||
Character | \(\chi\) | \(=\) | 189.4 |
Dual form | 189.2.u.a.142.10 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.134854 | − | 0.764795i | −0.0953562 | − | 0.540792i | −0.994638 | − | 0.103421i | \(-0.967021\pi\) |
0.899281 | − | 0.437370i | \(-0.144090\pi\) | |||||||
\(3\) | 1.54799 | + | 0.776991i | 0.893735 | + | 0.448596i | ||||
\(4\) | 1.31266 | − | 0.477769i | 0.656330 | − | 0.238884i | ||||
\(5\) | 1.10529 | − | 0.402293i | 0.494302 | − | 0.179911i | −0.0828277 | − | 0.996564i | \(-0.526395\pi\) |
0.577129 | + | 0.816653i | \(0.304173\pi\) | |||||||
\(6\) | 0.385486 | − | 1.28868i | 0.157374 | − | 0.526101i | ||||
\(7\) | −0.975813 | + | 2.45923i | −0.368823 | + | 0.929500i | ||||
\(8\) | −1.31901 | − | 2.28459i | −0.466339 | − | 0.807723i | ||||
\(9\) | 1.79257 | + | 2.40555i | 0.597524 | + | 0.801851i | ||||
\(10\) | −0.456725 | − | 0.791071i | −0.144429 | − | 0.250159i | ||||
\(11\) | −3.93613 | − | 1.43263i | −1.18679 | − | 0.431955i | −0.328193 | − | 0.944611i | \(-0.606440\pi\) |
−0.858594 | + | 0.512656i | \(0.828662\pi\) | |||||||
\(12\) | 2.40321 | + | 0.280341i | 0.693747 | + | 0.0809274i | ||||
\(13\) | −3.70688 | + | 1.34919i | −1.02810 | + | 0.374199i | −0.800358 | − | 0.599522i | \(-0.795357\pi\) |
−0.227745 | + | 0.973721i | \(0.573135\pi\) | |||||||
\(14\) | 2.01240 | + | 0.414661i | 0.537835 | + | 0.110823i | ||||
\(15\) | 2.02356 | + | 0.236054i | 0.522482 | + | 0.0609489i | ||||
\(16\) | 0.570812 | − | 0.478968i | 0.142703 | − | 0.119742i | ||||
\(17\) | 0.400033 | + | 0.692877i | 0.0970222 | + | 0.168047i | 0.910451 | − | 0.413617i | \(-0.135735\pi\) |
−0.813429 | + | 0.581665i | \(0.802402\pi\) | |||||||
\(18\) | 1.59802 | − | 1.69535i | 0.376657 | − | 0.399597i | ||||
\(19\) | 1.30975 | − | 2.26855i | 0.300477 | − | 0.520442i | −0.675767 | − | 0.737115i | \(-0.736187\pi\) |
0.976244 | + | 0.216674i | \(0.0695207\pi\) | |||||||
\(20\) | 1.25867 | − | 1.05615i | 0.281447 | − | 0.236162i | ||||
\(21\) | −3.42135 | + | 3.04867i | −0.746599 | + | 0.665274i | ||||
\(22\) | −0.564868 | + | 3.20353i | −0.120430 | + | 0.682994i | ||||
\(23\) | 1.28871 | − | 7.30863i | 0.268715 | − | 1.52396i | −0.489531 | − | 0.871986i | \(-0.662832\pi\) |
0.758245 | − | 0.651970i | \(-0.226057\pi\) | |||||||
\(24\) | −0.266712 | − | 4.56138i | −0.0544423 | − | 0.931088i | ||||
\(25\) | −2.77039 | + | 2.32463i | −0.554078 | + | 0.464927i | ||||
\(26\) | 1.53174 | + | 2.65306i | 0.300400 | + | 0.520308i | ||||
\(27\) | 0.905795 | + | 5.11659i | 0.174320 | + | 0.984689i | ||||
\(28\) | −0.105969 | + | 3.69434i | −0.0200263 | + | 0.698164i | ||||
\(29\) | −2.12504 | − | 0.773451i | −0.394610 | − | 0.143626i | 0.137091 | − | 0.990558i | \(-0.456225\pi\) |
−0.531701 | + | 0.846932i | \(0.678447\pi\) | |||||||
\(30\) | −0.0923528 | − | 1.57944i | −0.0168612 | − | 0.288366i | ||||
\(31\) | 7.31994 | − | 2.66424i | 1.31470 | − | 0.478511i | 0.412943 | − | 0.910757i | \(-0.364501\pi\) |
0.901756 | + | 0.432245i | \(0.142279\pi\) | |||||||
\(32\) | −4.48496 | − | 3.76333i | −0.792836 | − | 0.665268i | ||||
\(33\) | −4.97996 | − | 5.27604i | −0.866900 | − | 0.918441i | ||||
\(34\) | 0.475963 | − | 0.399380i | 0.0816270 | − | 0.0684932i | ||||
\(35\) | −0.0892288 | + | 3.11073i | −0.0150824 | + | 0.525809i | ||||
\(36\) | 3.50233 | + | 2.30124i | 0.583722 | + | 0.383540i | ||||
\(37\) | −2.78894 | −0.458498 | −0.229249 | − | 0.973368i | \(-0.573627\pi\) | ||||
−0.229249 | + | 0.973368i | \(0.573627\pi\) | |||||||
\(38\) | −1.91160 | − | 0.695767i | −0.310103 | − | 0.112868i | ||||
\(39\) | −6.78654 | − | 0.791667i | −1.08672 | − | 0.126768i | ||||
\(40\) | −2.37696 | − | 1.99451i | −0.375830 | − | 0.315359i | ||||
\(41\) | −2.90818 | + | 1.05849i | −0.454181 | + | 0.165308i | −0.558973 | − | 0.829186i | \(-0.688804\pi\) |
0.104792 | + | 0.994494i | \(0.466582\pi\) | |||||||
\(42\) | 2.79299 | + | 2.20551i | 0.430968 | + | 0.340317i | ||||
\(43\) | 1.78745 | + | 10.1371i | 0.272584 | + | 1.54590i | 0.746534 | + | 0.665348i | \(0.231717\pi\) |
−0.473950 | + | 0.880552i | \(0.657172\pi\) | |||||||
\(44\) | −5.85126 | −0.882111 | ||||||||
\(45\) | 2.94905 | + | 1.93770i | 0.439619 | + | 0.288855i | ||||
\(46\) | −5.76340 | −0.849766 | ||||||||
\(47\) | 0.726756 | + | 0.264518i | 0.106008 | + | 0.0385839i | 0.394480 | − | 0.918905i | \(-0.370925\pi\) |
−0.288471 | + | 0.957488i | \(0.593147\pi\) | |||||||
\(48\) | 1.25577 | − | 0.297924i | 0.181255 | − | 0.0430017i | ||||
\(49\) | −5.09558 | − | 4.79949i | −0.727939 | − | 0.685641i | ||||
\(50\) | 2.15147 | + | 1.80530i | 0.304264 | + | 0.255307i | ||||
\(51\) | 0.0808892 | + | 1.38339i | 0.0113268 | + | 0.193714i | ||||
\(52\) | −4.22127 | + | 3.54206i | −0.585384 | + | 0.491196i | ||||
\(53\) | −5.10773 | + | 8.84685i | −0.701600 | + | 1.21521i | 0.266304 | + | 0.963889i | \(0.414198\pi\) |
−0.967904 | + | 0.251319i | \(0.919136\pi\) | |||||||
\(54\) | 3.79100 | − | 1.38274i | 0.515889 | − | 0.188167i | ||||
\(55\) | −4.92691 | −0.664344 | ||||||||
\(56\) | 6.90541 | − | 1.01440i | 0.922775 | − | 0.135555i | ||||
\(57\) | 3.79013 | − | 2.49404i | 0.502015 | − | 0.330344i | ||||
\(58\) | −0.304961 | + | 1.72952i | −0.0400434 | + | 0.227097i | ||||
\(59\) | 7.53571 | + | 6.32321i | 0.981065 | + | 0.823212i | 0.984250 | − | 0.176783i | \(-0.0565692\pi\) |
−0.00318439 | + | 0.999995i | \(0.501014\pi\) | |||||||
\(60\) | 2.76903 | − | 0.656937i | 0.357480 | − | 0.0848102i | ||||
\(61\) | 7.00038 | + | 2.54793i | 0.896306 | + | 0.326229i | 0.748772 | − | 0.662828i | \(-0.230644\pi\) |
0.147535 | + | 0.989057i | \(0.452866\pi\) | |||||||
\(62\) | −3.02472 | − | 5.23897i | −0.384140 | − | 0.665350i | ||||
\(63\) | −7.66501 | + | 2.06096i | −0.965701 | + | 0.259657i | ||||
\(64\) | −1.52822 | + | 2.64695i | −0.191027 | + | 0.330869i | ||||
\(65\) | −3.55441 | + | 2.98251i | −0.440871 | + | 0.369934i | ||||
\(66\) | −3.36352 | + | 4.52014i | −0.414021 | + | 0.556391i | ||||
\(67\) | 1.80452 | − | 10.2339i | 0.220457 | − | 1.25027i | −0.650726 | − | 0.759313i | \(-0.725535\pi\) |
0.871183 | − | 0.490959i | \(-0.163354\pi\) | |||||||
\(68\) | 0.856142 | + | 0.718388i | 0.103822 | + | 0.0871174i | ||||
\(69\) | 7.67366 | − | 10.3124i | 0.923800 | − | 1.24147i | ||||
\(70\) | 2.39110 | − | 0.351252i | 0.285791 | − | 0.0419826i | ||||
\(71\) | −0.981254 | + | 1.69958i | −0.116453 | + | 0.201703i | −0.918360 | − | 0.395746i | \(-0.870486\pi\) |
0.801906 | + | 0.597450i | \(0.203819\pi\) | |||||||
\(72\) | 3.13128 | − | 7.26822i | 0.369025 | − | 0.856568i | ||||
\(73\) | −5.19764 | −0.608338 | −0.304169 | − | 0.952618i | \(-0.598379\pi\) | ||||
−0.304169 | + | 0.952618i | \(0.598379\pi\) | |||||||
\(74\) | 0.376099 | + | 2.13296i | 0.0437207 | + | 0.247952i | ||||
\(75\) | −6.09477 | + | 1.44595i | −0.703763 | + | 0.166964i | ||||
\(76\) | 0.635411 | − | 3.60360i | 0.0728866 | − | 0.413361i | ||||
\(77\) | 7.36409 | − | 8.28184i | 0.839216 | − | 0.943803i | ||||
\(78\) | 0.309729 | + | 5.29707i | 0.0350699 | + | 0.599775i | ||||
\(79\) | −1.05900 | − | 6.00590i | −0.119147 | − | 0.675717i | −0.984613 | − | 0.174749i | \(-0.944089\pi\) |
0.865466 | − | 0.500968i | \(-0.167023\pi\) | |||||||
\(80\) | 0.438229 | − | 0.759034i | 0.0489954 | − | 0.0848626i | ||||
\(81\) | −2.57338 | + | 8.62425i | −0.285931 | + | 0.958250i | ||||
\(82\) | 1.20171 | + | 2.08142i | 0.132706 | + | 0.229854i | ||||
\(83\) | 3.56605 | + | 1.29793i | 0.391424 | + | 0.142467i | 0.530232 | − | 0.847852i | \(-0.322105\pi\) |
−0.138808 | + | 0.990319i | \(0.544327\pi\) | |||||||
\(84\) | −3.03451 | + | 5.63648i | −0.331092 | + | 0.614990i | ||||
\(85\) | 0.720893 | + | 0.604901i | 0.0781918 | + | 0.0656107i | ||||
\(86\) | 7.51179 | − | 2.73407i | 0.810017 | − | 0.294822i | ||||
\(87\) | −2.68858 | − | 2.84843i | −0.288246 | − | 0.305384i | ||||
\(88\) | 1.91880 | + | 10.8821i | 0.204545 | + | 1.16003i | ||||
\(89\) | 4.65935 | − | 8.07024i | 0.493891 | − | 0.855443i | −0.506085 | − | 0.862484i | \(-0.668908\pi\) |
0.999975 | + | 0.00704032i | \(0.00224102\pi\) | |||||||
\(90\) | 1.08425 | − | 2.51673i | 0.114290 | − | 0.265286i | ||||
\(91\) | 0.299252 | − | 10.4326i | 0.0313701 | − | 1.09364i | ||||
\(92\) | −1.80020 | − | 10.2095i | −0.187684 | − | 1.06441i | ||||
\(93\) | 13.4013 | + | 1.56330i | 1.38965 | + | 0.162106i | ||||
\(94\) | 0.104296 | − | 0.591491i | 0.0107573 | − | 0.0610076i | ||||
\(95\) | 0.535032 | − | 3.03432i | 0.0548931 | − | 0.311314i | ||||
\(96\) | −4.01862 | − | 9.31038i | −0.410148 | − | 0.950237i | ||||
\(97\) | −0.984950 | − | 5.58593i | −0.100007 | − | 0.567165i | −0.993098 | − | 0.117290i | \(-0.962579\pi\) |
0.893091 | − | 0.449876i | \(-0.148532\pi\) | |||||||
\(98\) | −2.98347 | + | 4.54430i | −0.301376 | + | 0.459044i | ||||
\(99\) | −3.60951 | − | 12.0367i | −0.362769 | − | 1.20973i | ||||
\(100\) | −2.52594 | + | 4.37506i | −0.252594 | + | 0.437506i | ||||
\(101\) | −1.54866 | − | 8.78288i | −0.154097 | − | 0.873929i | −0.959606 | − | 0.281346i | \(-0.909219\pi\) |
0.805509 | − | 0.592583i | \(-0.201892\pi\) | |||||||
\(102\) | 1.04710 | − | 0.248420i | 0.103679 | − | 0.0245972i | ||||
\(103\) | 16.8978 | − | 6.15030i | 1.66499 | − | 0.606007i | 0.673856 | − | 0.738863i | \(-0.264637\pi\) |
0.991135 | + | 0.132856i | \(0.0424148\pi\) | |||||||
\(104\) | 7.97175 | + | 6.68909i | 0.781694 | + | 0.655919i | ||||
\(105\) | −2.55513 | + | 4.74605i | −0.249355 | + | 0.463167i | ||||
\(106\) | 7.45482 | + | 2.71333i | 0.724076 | + | 0.263542i | ||||
\(107\) | 8.96116 | + | 15.5212i | 0.866308 | + | 1.50049i | 0.865742 | + | 0.500490i | \(0.166847\pi\) |
0.000565690 | 1.00000i | \(0.499820\pi\) | ||||||||
\(108\) | 3.63355 | + | 6.28358i | 0.349638 | + | 0.604638i | ||||
\(109\) | 3.85403 | − | 6.67538i | 0.369149 | − | 0.639386i | −0.620283 | − | 0.784378i | \(-0.712982\pi\) |
0.989433 | + | 0.144992i | \(0.0463157\pi\) | |||||||
\(110\) | 0.664414 | + | 3.76808i | 0.0633493 | + | 0.359272i | ||||
\(111\) | −4.31726 | − | 2.16698i | −0.409776 | − | 0.205680i | ||||
\(112\) | 0.620885 | + | 1.87114i | 0.0586681 | + | 0.176806i | ||||
\(113\) | −2.99844 | + | 17.0050i | −0.282069 | + | 1.59969i | 0.433501 | + | 0.901153i | \(0.357278\pi\) |
−0.715570 | + | 0.698541i | \(0.753833\pi\) | |||||||
\(114\) | −2.41855 | − | 2.56234i | −0.226518 | − | 0.239985i | ||||
\(115\) | −1.51582 | − | 8.59661i | −0.141350 | − | 0.801638i | ||||
\(116\) | −3.15898 | −0.293304 | ||||||||
\(117\) | −9.89040 | − | 6.49857i | −0.914368 | − | 0.600793i | ||||
\(118\) | 3.81974 | − | 6.61598i | 0.351635 | − | 0.609051i | ||||
\(119\) | −2.09430 | + | 0.307652i | −0.191984 | + | 0.0282024i | ||||
\(120\) | −2.12981 | − | 4.93436i | −0.194424 | − | 0.450443i | ||||
\(121\) | 5.01417 | + | 4.20739i | 0.455834 | + | 0.382490i | ||||
\(122\) | 1.00461 | − | 5.69745i | 0.0909535 | − | 0.515823i | ||||
\(123\) | −5.32428 | − | 0.621091i | −0.480074 | − | 0.0560019i | ||||
\(124\) | 8.33569 | − | 6.99448i | 0.748567 | − | 0.628122i | ||||
\(125\) | −5.06747 | + | 8.77712i | −0.453249 | + | 0.785050i | ||||
\(126\) | 2.60987 | + | 5.58424i | 0.232506 | + | 0.497483i | ||||
\(127\) | −0.549414 | − | 0.951613i | −0.0487526 | − | 0.0844420i | 0.840619 | − | 0.541626i | \(-0.182191\pi\) |
−0.889372 | + | 0.457184i | \(0.848858\pi\) | |||||||
\(128\) | −8.77277 | − | 3.19303i | −0.775411 | − | 0.282226i | ||||
\(129\) | −5.10950 | + | 17.0811i | −0.449867 | + | 1.50390i | ||||
\(130\) | 2.76033 | + | 2.31619i | 0.242097 | + | 0.203144i | ||||
\(131\) | −1.98550 | + | 11.2603i | −0.173474 | + | 0.983819i | 0.766417 | + | 0.642343i | \(0.222038\pi\) |
−0.939891 | + | 0.341475i | \(0.889073\pi\) | |||||||
\(132\) | −9.05772 | − | 4.54638i | −0.788373 | − | 0.395711i | ||||
\(133\) | 4.30081 | + | 5.43466i | 0.372928 | + | 0.471244i | ||||
\(134\) | −8.07020 | −0.697159 | ||||||||
\(135\) | 3.05954 | + | 5.29093i | 0.263323 | + | 0.455371i | ||||
\(136\) | 1.05529 | − | 1.82782i | 0.0904905 | − | 0.156734i | ||||
\(137\) | 0.130872 | − | 0.109814i | 0.0111811 | − | 0.00938207i | −0.637180 | − | 0.770715i | \(-0.719899\pi\) |
0.648361 | + | 0.761333i | \(0.275455\pi\) | |||||||
\(138\) | −8.92170 | − | 4.47811i | −0.759466 | − | 0.381202i | ||||
\(139\) | 5.29186 | + | 4.44040i | 0.448850 | + | 0.376630i | 0.839009 | − | 0.544118i | \(-0.183136\pi\) |
−0.390159 | + | 0.920747i | \(0.627580\pi\) | |||||||
\(140\) | 1.36908 | + | 4.12595i | 0.115708 | + | 0.348707i | ||||
\(141\) | 0.919486 | + | 0.974154i | 0.0774347 | + | 0.0820386i | ||||
\(142\) | 1.43216 | + | 0.521263i | 0.120184 | + | 0.0437434i | ||||
\(143\) | 16.5237 | 1.38178 | ||||||||
\(144\) | 2.17541 | + | 0.514535i | 0.181284 | + | 0.0428779i | ||||
\(145\) | −2.65994 | −0.220896 | ||||||||
\(146\) | 0.700923 | + | 3.97513i | 0.0580088 | + | 0.328984i | ||||
\(147\) | −4.15876 | − | 11.3888i | −0.343009 | − | 0.939332i | ||||
\(148\) | −3.66092 | + | 1.33247i | −0.300926 | + | 0.109528i | ||||
\(149\) | −2.79057 | − | 2.34157i | −0.228612 | − | 0.191828i | 0.521285 | − | 0.853383i | \(-0.325453\pi\) |
−0.749897 | + | 0.661554i | \(0.769897\pi\) | |||||||
\(150\) | 1.92776 | + | 4.46626i | 0.157401 | + | 0.364668i | ||||
\(151\) | −1.54140 | − | 0.561025i | −0.125438 | − | 0.0456555i | 0.278539 | − | 0.960425i | \(-0.410150\pi\) |
−0.403976 | + | 0.914769i | \(0.632372\pi\) | |||||||
\(152\) | −6.91027 | −0.560497 | ||||||||
\(153\) | −0.949667 | + | 2.20433i | −0.0767760 | + | 0.178210i | ||||
\(154\) | −7.32699 | − | 4.51518i | −0.590426 | − | 0.363844i | ||||
\(155\) | 7.01886 | − | 5.88952i | 0.563769 | − | 0.473058i | ||||
\(156\) | −9.28665 | + | 2.20321i | −0.743527 | + | 0.176398i | ||||
\(157\) | −1.62276 | − | 1.36166i | −0.129511 | − | 0.108672i | 0.575732 | − | 0.817639i | \(-0.304717\pi\) |
−0.705242 | + | 0.708966i | \(0.749162\pi\) | |||||||
\(158\) | −4.45048 | + | 1.61984i | −0.354061 | + | 0.128868i | ||||
\(159\) | −14.7806 | + | 9.72621i | −1.17218 | + | 0.771338i | ||||
\(160\) | −6.47115 | − | 2.35531i | −0.511589 | − | 0.186203i | ||||
\(161\) | 16.7160 | + | 10.3011i | 1.31741 | + | 0.811840i | ||||
\(162\) | 6.94282 | + | 0.805094i | 0.545479 | + | 0.0632542i | ||||
\(163\) | −3.44273 | − | 5.96298i | −0.269655 | − | 0.467057i | 0.699117 | − | 0.715007i | \(-0.253576\pi\) |
−0.968773 | + | 0.247950i | \(0.920243\pi\) | |||||||
\(164\) | −3.31173 | + | 2.77887i | −0.258603 | + | 0.216993i | ||||
\(165\) | −7.62683 | − | 3.82816i | −0.593748 | − | 0.298022i | ||||
\(166\) | 0.511759 | − | 2.90233i | 0.0397202 | − | 0.225264i | ||||
\(167\) | 2.24598 | − | 12.7376i | 0.173799 | − | 0.985665i | −0.765721 | − | 0.643173i | \(-0.777618\pi\) |
0.939521 | − | 0.342492i | \(-0.111271\pi\) | |||||||
\(168\) | 11.4777 | + | 3.79515i | 0.885525 | + | 0.292802i | ||||
\(169\) | 1.96206 | − | 1.64636i | 0.150928 | − | 0.126643i | ||||
\(170\) | 0.365410 | − | 0.632909i | 0.0280257 | − | 0.0485419i | ||||
\(171\) | 7.80495 | − | 0.915868i | 0.596859 | − | 0.0700382i | ||||
\(172\) | 7.18953 | + | 12.4526i | 0.548196 | + | 0.949504i | ||||
\(173\) | −10.4460 | + | 8.76521i | −0.794192 | + | 0.666406i | −0.946779 | − | 0.321884i | \(-0.895684\pi\) |
0.152587 | + | 0.988290i | \(0.451240\pi\) | |||||||
\(174\) | −1.81590 | + | 2.44034i | −0.137663 | + | 0.185002i | ||||
\(175\) | −3.01341 | − | 9.08143i | −0.227793 | − | 0.686491i | ||||
\(176\) | −2.93298 | + | 1.06752i | −0.221081 | + | 0.0804671i | ||||
\(177\) | 6.75215 | + | 15.6435i | 0.507523 | + | 1.17583i | ||||
\(178\) | −6.80041 | − | 2.47515i | −0.509712 | − | 0.185520i | ||||
\(179\) | −2.14561 | − | 3.71631i | −0.160371 | − | 0.277770i | 0.774631 | − | 0.632413i | \(-0.217936\pi\) |
−0.935002 | + | 0.354643i | \(0.884602\pi\) | |||||||
\(180\) | 4.79687 | + | 1.13457i | 0.357538 | + | 0.0845662i | ||||
\(181\) | 8.65164 | + | 14.9851i | 0.643071 | + | 1.11383i | 0.984743 | + | 0.174013i | \(0.0556735\pi\) |
−0.341672 | + | 0.939819i | \(0.610993\pi\) | |||||||
\(182\) | −8.01917 | + | 1.17801i | −0.594420 | + | 0.0873202i | ||||
\(183\) | 8.85682 | + | 9.38341i | 0.654715 | + | 0.693641i | ||||
\(184\) | −18.3970 | + | 6.69597i | −1.35625 | + | 0.493633i | ||||
\(185\) | −3.08259 | + | 1.12197i | −0.226636 | + | 0.0824889i | ||||
\(186\) | −0.611618 | − | 10.4601i | −0.0448460 | − | 0.766970i | ||||
\(187\) | −0.581941 | − | 3.30035i | −0.0425558 | − | 0.241346i | ||||
\(188\) | 1.08036 | 0.0787934 | ||||||||
\(189\) | −13.4667 | − | 2.76529i | −0.979561 | − | 0.201145i | ||||
\(190\) | −2.39278 | −0.173591 | ||||||||
\(191\) | −3.60038 | − | 20.4188i | −0.260514 | − | 1.47745i | −0.781511 | − | 0.623891i | \(-0.785551\pi\) |
0.520997 | − | 0.853559i | \(-0.325560\pi\) | |||||||
\(192\) | −4.42233 | + | 2.91005i | −0.319154 | + | 0.210015i | ||||
\(193\) | 14.0499 | − | 5.11373i | 1.01133 | − | 0.368094i | 0.217387 | − | 0.976086i | \(-0.430247\pi\) |
0.793944 | + | 0.607991i | \(0.208024\pi\) | |||||||
\(194\) | −4.13927 | + | 1.50657i | −0.297182 | + | 0.108165i | ||||
\(195\) | −7.81959 | + | 1.85516i | −0.559972 | + | 0.132850i | ||||
\(196\) | −8.98180 | − | 3.86559i | −0.641557 | − | 0.276113i | ||||
\(197\) | −10.4928 | − | 18.1740i | −0.747579 | − | 1.29485i | −0.948980 | − | 0.315336i | \(-0.897883\pi\) |
0.201401 | − | 0.979509i | \(-0.435451\pi\) | |||||||
\(198\) | −8.71883 | + | 4.38373i | −0.619620 | + | 0.311538i | ||||
\(199\) | −9.04342 | − | 15.6637i | −0.641071 | − | 1.11037i | −0.985194 | − | 0.171443i | \(-0.945157\pi\) |
0.344123 | − | 0.938925i | \(-0.388176\pi\) | |||||||
\(200\) | 8.96499 | + | 3.26299i | 0.633921 | + | 0.230728i | ||||
\(201\) | 10.7450 | − | 14.4400i | 0.757897 | − | 1.01852i | ||||
\(202\) | −6.50826 | + | 2.36881i | −0.457920 | + | 0.166669i | ||||
\(203\) | 3.97573 | − | 4.47120i | 0.279042 | − | 0.313817i | ||||
\(204\) | 0.767121 | + | 1.77728i | 0.0537092 | + | 0.124434i | ||||
\(205\) | −2.78856 | + | 2.33988i | −0.194762 | + | 0.163424i | ||||
\(206\) | −6.98246 | − | 12.0940i | −0.486491 | − | 0.842627i | ||||
\(207\) | 19.8914 | − | 10.0012i | 1.38255 | − | 0.695130i | ||||
\(208\) | −1.46971 | + | 2.54562i | −0.101906 | + | 0.176507i | ||||
\(209\) | −8.40535 | + | 7.05292i | −0.581410 | + | 0.487861i | ||||
\(210\) | 3.97433 | + | 1.31413i | 0.274255 | + | 0.0906834i | ||||
\(211\) | 3.80425 | − | 21.5749i | 0.261895 | − | 1.48528i | −0.515838 | − | 0.856686i | \(-0.672519\pi\) |
0.777733 | − | 0.628594i | \(-0.216369\pi\) | |||||||
\(212\) | −2.47796 | + | 14.0532i | −0.170187 | + | 0.965178i | ||||
\(213\) | −2.83954 | + | 1.86852i | −0.194562 | + | 0.128029i | ||||
\(214\) | 10.6621 | − | 8.94655i | 0.728845 | − | 0.611573i | ||||
\(215\) | 6.05376 | + | 10.4854i | 0.412863 | + | 0.715100i | ||||
\(216\) | 10.4945 | − | 8.81819i | 0.714064 | − | 0.600002i | ||||
\(217\) | −0.590929 | + | 20.6012i | −0.0401149 | + | 1.39850i | ||||
\(218\) | −5.62503 | − | 2.04734i | −0.380975 | − | 0.138664i | ||||
\(219\) | −8.04592 | − | 4.03852i | −0.543693 | − | 0.272898i | ||||
\(220\) | −6.46735 | + | 2.35392i | −0.436029 | + | 0.158702i | ||||
\(221\) | −2.41770 | − | 2.02869i | −0.162632 | − | 0.136465i | ||||
\(222\) | −1.07509 | + | 3.59404i | −0.0721556 | + | 0.241216i | ||||
\(223\) | −15.2032 | + | 12.7570i | −1.01808 | + | 0.854270i | −0.989385 | − | 0.145318i | \(-0.953579\pi\) |
−0.0286946 | + | 0.999588i | \(0.509135\pi\) | |||||||
\(224\) | 13.6314 | − | 7.35722i | 0.910783 | − | 0.491575i | ||||
\(225\) | −10.5582 | − | 2.49726i | −0.703877 | − | 0.166484i | ||||
\(226\) | 13.4097 | 0.891998 | ||||||||
\(227\) | 22.9329 | + | 8.34689i | 1.52211 | + | 0.554003i | 0.961674 | − | 0.274195i | \(-0.0884114\pi\) |
0.560436 | + | 0.828198i | \(0.310634\pi\) | |||||||
\(228\) | 3.78357 | − | 5.08464i | 0.250573 | − | 0.336738i | ||||
\(229\) | 12.1455 | + | 10.1913i | 0.802597 | + | 0.673459i | 0.948829 | − | 0.315792i | \(-0.102270\pi\) |
−0.146232 | + | 0.989250i | \(0.546715\pi\) | |||||||
\(230\) | −6.37024 | + | 2.31858i | −0.420041 | + | 0.152882i | ||||
\(231\) | 17.8345 | − | 7.09841i | 1.17342 | − | 0.467041i | ||||
\(232\) | 1.03592 | + | 5.87502i | 0.0680118 | + | 0.385714i | ||||
\(233\) | 2.88655 | 0.189104 | 0.0945520 | − | 0.995520i | \(-0.469858\pi\) | ||||
0.0945520 | + | 0.995520i | \(0.469858\pi\) | |||||||
\(234\) | −3.63632 | + | 8.44049i | −0.237714 | + | 0.551772i | ||||
\(235\) | 0.909691 | 0.0593417 | ||||||||
\(236\) | 12.9128 | + | 4.69989i | 0.840555 | + | 0.305937i | ||||
\(237\) | 3.02720 | − | 10.1199i | 0.196638 | − | 0.657361i | ||||
\(238\) | 0.517715 | + | 1.56022i | 0.0335585 | + | 0.101134i | ||||
\(239\) | −15.4217 | − | 12.9403i | −0.997545 | − | 0.837040i | −0.0109024 | − | 0.999941i | \(-0.503470\pi\) |
−0.986642 | + | 0.162901i | \(0.947915\pi\) | |||||||
\(240\) | 1.26814 | − | 0.834481i | 0.0818579 | − | 0.0538655i | ||||
\(241\) | −16.2021 | + | 13.5952i | −1.04367 | + | 0.875742i | −0.992414 | − | 0.122944i | \(-0.960766\pi\) |
−0.0512547 | + | 0.998686i | \(0.516322\pi\) | |||||||
\(242\) | 2.54161 | − | 4.40220i | 0.163381 | − | 0.282984i | ||||
\(243\) | −10.6845 | + | 11.3508i | −0.685414 | + | 0.728154i | ||||
\(244\) | 10.4064 | 0.666203 | ||||||||
\(245\) | −7.56290 | − | 3.25492i | −0.483176 | − | 0.207949i | ||||
\(246\) | 0.242993 | + | 4.15574i | 0.0154927 | + | 0.264960i | ||||
\(247\) | −1.79437 | + | 10.1764i | −0.114173 | + | 0.647506i | ||||
\(248\) | −15.7417 | − | 13.2089i | −0.999600 | − | 0.838764i | ||||
\(249\) | 4.51174 | + | 4.77998i | 0.285920 | + | 0.302919i | ||||
\(250\) | 7.39607 | + | 2.69195i | 0.467769 | + | 0.170254i | ||||
\(251\) | −2.99103 | − | 5.18061i | −0.188792 | − | 0.326997i | 0.756056 | − | 0.654507i | \(-0.227124\pi\) |
−0.944848 | + | 0.327510i | \(0.893791\pi\) | |||||||
\(252\) | −9.07689 | + | 6.36745i | −0.571790 | + | 0.401111i | ||||
\(253\) | −15.5431 | + | 26.9215i | −0.977187 | + | 1.69254i | ||||
\(254\) | −0.653698 | + | 0.548518i | −0.0410167 | + | 0.0344171i | ||||
\(255\) | 0.645936 | + | 1.49651i | 0.0404501 | + | 0.0937151i | ||||
\(256\) | −2.32046 | + | 13.1600i | −0.145029 | + | 0.822498i | ||||
\(257\) | 10.5663 | + | 8.86621i | 0.659110 | + | 0.553059i | 0.909820 | − | 0.415003i | \(-0.136220\pi\) |
−0.250710 | + | 0.968062i | \(0.580664\pi\) | |||||||
\(258\) | 13.7526 | + | 1.60427i | 0.856197 | + | 0.0998776i | ||||
\(259\) | 2.72148 | − | 6.85862i | 0.169105 | − | 0.426174i | ||||
\(260\) | −3.24078 | + | 5.61320i | −0.200985 | + | 0.348116i | ||||
\(261\) | −1.94870 | − | 6.49836i | −0.120622 | − | 0.402238i | ||||
\(262\) | 8.87959 | 0.548583 | ||||||||
\(263\) | 2.21517 | + | 12.5629i | 0.136593 | + | 0.774660i | 0.973737 | + | 0.227676i | \(0.0731128\pi\) |
−0.837143 | + | 0.546983i | \(0.815776\pi\) | |||||||
\(264\) | −5.48497 | + | 18.3363i | −0.337577 | + | 1.12852i | ||||
\(265\) | −2.08650 | + | 11.8332i | −0.128173 | + | 0.726905i | ||||
\(266\) | 3.57642 | − | 4.02213i | 0.219284 | − | 0.246612i | ||||
\(267\) | 13.4832 | − | 8.87240i | 0.825155 | − | 0.542982i | ||||
\(268\) | −2.52073 | − | 14.2958i | −0.153978 | − | 0.873254i | ||||
\(269\) | 9.60819 | − | 16.6419i | 0.585822 | − | 1.01467i | −0.408951 | − | 0.912556i | \(-0.634105\pi\) |
0.994772 | − | 0.102117i | \(-0.0325615\pi\) | |||||||
\(270\) | 3.63389 | − | 3.05343i | 0.221152 | − | 0.185826i | ||||
\(271\) | −9.45706 | − | 16.3801i | −0.574475 | − | 0.995021i | −0.996098 | − | 0.0882493i | \(-0.971873\pi\) |
0.421623 | − | 0.906771i | \(-0.361461\pi\) | |||||||
\(272\) | 0.560210 | + | 0.203900i | 0.0339677 | + | 0.0123632i | ||||
\(273\) | 8.56928 | − | 15.9171i | 0.518637 | − | 0.963347i | ||||
\(274\) | −0.101634 | − | 0.0852811i | −0.00613994 | − | 0.00515202i | ||||
\(275\) | 14.2350 | − | 5.18110i | 0.858401 | − | 0.312432i | ||||
\(276\) | 5.14595 | − | 17.2029i | 0.309750 | − | 1.03549i | ||||
\(277\) | −2.20277 | − | 12.4926i | −0.132352 | − | 0.750605i | −0.976667 | − | 0.214758i | \(-0.931104\pi\) |
0.844315 | − | 0.535847i | \(-0.180007\pi\) | |||||||
\(278\) | 2.68237 | − | 4.64600i | 0.160878 | − | 0.278648i | ||||
\(279\) | 19.5305 | + | 12.8327i | 1.16926 | + | 0.768272i | ||||
\(280\) | 7.22441 | − | 3.89921i | 0.431741 | − | 0.233023i | ||||
\(281\) | −1.10050 | − | 6.24125i | −0.0656504 | − | 0.372322i | −0.999878 | − | 0.0156435i | \(-0.995020\pi\) |
0.934227 | − | 0.356678i | \(-0.116091\pi\) | |||||||
\(282\) | 0.621032 | − | 0.834587i | 0.0369819 | − | 0.0496989i | ||||
\(283\) | −5.07947 | + | 28.8071i | −0.301943 | + | 1.71240i | 0.335613 | + | 0.942000i | \(0.391057\pi\) |
−0.637556 | + | 0.770404i | \(0.720055\pi\) | |||||||
\(284\) | −0.476045 | + | 2.69978i | −0.0282481 | + | 0.160203i | ||||
\(285\) | 3.18586 | − | 4.28139i | 0.188714 | − | 0.253608i | ||||
\(286\) | −2.22828 | − | 12.6372i | −0.131761 | − | 0.747254i | ||||
\(287\) | 0.234773 | − | 8.18475i | 0.0138582 | − | 0.483130i | ||||
\(288\) | 1.01328 | − | 17.5348i | 0.0597082 | − | 1.03325i | ||||
\(289\) | 8.17995 | − | 14.1681i | 0.481173 | − | 0.833417i | ||||
\(290\) | 0.358704 | + | 2.03431i | 0.0210638 | + | 0.119459i | ||||
\(291\) | 2.81552 | − | 9.41229i | 0.165049 | − | 0.551758i | ||||
\(292\) | −6.82273 | + | 2.48327i | −0.399270 | + | 0.145323i | ||||
\(293\) | −10.7472 | − | 9.01797i | −0.627858 | − | 0.526836i | 0.272404 | − | 0.962183i | \(-0.412181\pi\) |
−0.900263 | + | 0.435347i | \(0.856626\pi\) | |||||||
\(294\) | −8.14927 | + | 4.71643i | −0.475275 | + | 0.275068i | ||||
\(295\) | 10.8729 | + | 3.95743i | 0.633047 | + | 0.230410i | ||||
\(296\) | 3.67862 | + | 6.37156i | 0.213816 | + | 0.370340i | ||||
\(297\) | 3.76488 | − | 21.4372i | 0.218460 | − | 1.24391i | ||||
\(298\) | −1.41450 | + | 2.44998i | −0.0819397 | + | 0.141924i | ||||
\(299\) | 5.08367 | + | 28.8310i | 0.293996 | + | 1.66734i | ||||
\(300\) | −7.30952 | + | 4.80993i | −0.422016 | + | 0.277702i | ||||
\(301\) | −26.6737 | − | 5.49621i | −1.53745 | − | 0.316796i | ||||
\(302\) | −0.221205 | + | 1.25451i | −0.0127289 | + | 0.0721891i | ||||
\(303\) | 4.42690 | − | 14.7991i | 0.254319 | − | 0.850188i | ||||
\(304\) | −0.338944 | − | 1.92225i | −0.0194398 | − | 0.110248i | ||||
\(305\) | 8.76247 | 0.501738 | ||||||||
\(306\) | 1.81393 | + | 0.429037i | 0.103695 | + | 0.0245264i | ||||
\(307\) | −5.75646 | + | 9.97048i | −0.328538 | + | 0.569045i | −0.982222 | − | 0.187723i | \(-0.939889\pi\) |
0.653684 | + | 0.756768i | \(0.273223\pi\) | |||||||
\(308\) | 5.70974 | − | 14.3896i | 0.325343 | − | 0.819922i | ||||
\(309\) | 30.9364 | + | 3.60882i | 1.75991 | + | 0.205298i | ||||
\(310\) | −5.45080 | − | 4.57377i | −0.309585 | − | 0.259772i | ||||
\(311\) | −0.567993 | + | 3.22125i | −0.0322079 | + | 0.182660i | −0.996668 | − | 0.0815698i | \(-0.974007\pi\) |
0.964460 | + | 0.264230i | \(0.0851178\pi\) | |||||||
\(312\) | 7.14285 | + | 16.5486i | 0.404385 | + | 0.936882i | ||||
\(313\) | −4.61419 | + | 3.87177i | −0.260809 | + | 0.218845i | −0.763810 | − | 0.645441i | \(-0.776674\pi\) |
0.503001 | + | 0.864286i | \(0.332229\pi\) | |||||||
\(314\) | −0.822555 | + | 1.42471i | −0.0464195 | + | 0.0804009i | ||||
\(315\) | −7.64297 | + | 5.36155i | −0.430632 | + | 0.302089i | ||||
\(316\) | −4.25954 | − | 7.37775i | −0.239618 | − | 0.415031i | ||||
\(317\) | 1.91287 | + | 0.696230i | 0.107438 | + | 0.0391041i | 0.395180 | − | 0.918604i | \(-0.370682\pi\) |
−0.287742 | + | 0.957708i | \(0.592905\pi\) | |||||||
\(318\) | 9.43178 | + | 9.99255i | 0.528908 | + | 0.560354i | ||||
\(319\) | 7.25635 | + | 6.08880i | 0.406278 | + | 0.340907i | ||||
\(320\) | −0.624276 | + | 3.54044i | −0.0348981 | + | 0.197917i | ||||
\(321\) | 1.81200 | + | 30.9894i | 0.101136 | + | 1.72966i | ||||
\(322\) | 5.62400 | − | 14.1735i | 0.313413 | − | 0.789858i | ||||
\(323\) | 2.09577 | 0.116612 | ||||||||
\(324\) | 0.742427 | + | 12.5502i | 0.0412459 | + | 0.697232i | ||||
\(325\) | 7.13313 | − | 12.3549i | 0.395675 | − | 0.685329i | ||||
\(326\) | −4.09620 | + | 3.43712i | −0.226867 | + | 0.190364i | ||||
\(327\) | 11.1527 | − | 7.33890i | 0.616747 | − | 0.405842i | ||||
\(328\) | 6.25411 | + | 5.24782i | 0.345326 | + | 0.289763i | ||||
\(329\) | −1.35969 | + | 1.52914i | −0.0749619 | + | 0.0843040i | ||||
\(330\) | −1.89925 | + | 6.34920i | −0.104550 | + | 0.349512i | ||||
\(331\) | −6.36037 | − | 2.31499i | −0.349598 | − | 0.127243i | 0.161252 | − | 0.986913i | \(-0.448447\pi\) |
−0.510850 | + | 0.859670i | \(0.670669\pi\) | |||||||
\(332\) | 5.30112 | 0.290937 | ||||||||
\(333\) | −4.99937 | − | 6.70894i | −0.273964 | − | 0.367647i | ||||
\(334\) | −10.0445 | −0.549612 | ||||||||
\(335\) | −2.12252 | − | 12.0374i | −0.115966 | − | 0.657674i | ||||
\(336\) | −0.492733 | + | 3.37894i | −0.0268808 | + | 0.184336i | ||||
\(337\) | −2.22559 | + | 0.810048i | −0.121235 | + | 0.0441261i | −0.401926 | − | 0.915672i | \(-0.631659\pi\) |
0.280690 | + | 0.959798i | \(0.409437\pi\) | |||||||
\(338\) | −1.52372 | − | 1.27855i | −0.0828795 | − | 0.0695442i | ||||
\(339\) | −17.8543 | + | 23.9938i | −0.969711 | + | 1.30317i | ||||
\(340\) | 1.23529 | + | 0.449609i | 0.0669930 | + | 0.0243835i | ||||
\(341\) | −32.6291 | −1.76696 | ||||||||
\(342\) | −1.75298 | − | 5.84568i | −0.0947903 | − | 0.316098i | ||||
\(343\) | 16.7754 | − | 7.84776i | 0.905784 | − | 0.423739i | ||||
\(344\) | 20.8015 | − | 17.4545i | 1.12154 | − | 0.941086i | ||||
\(345\) | 4.33302 | − | 14.4853i | 0.233282 | − | 0.779861i | ||||
\(346\) | 8.11227 | + | 6.80700i | 0.436118 | + | 0.365947i | ||||
\(347\) | −7.34810 | + | 2.67449i | −0.394467 | + | 0.143574i | −0.531635 | − | 0.846974i | \(-0.678422\pi\) |
0.137168 | + | 0.990548i | \(0.456200\pi\) | |||||||
\(348\) | −4.89009 | − | 2.45450i | −0.262136 | − | 0.131575i | ||||
\(349\) | 18.6277 | + | 6.77991i | 0.997116 | + | 0.362921i | 0.788472 | − | 0.615071i | \(-0.210873\pi\) |
0.208644 | + | 0.977992i | \(0.433095\pi\) | |||||||
\(350\) | −6.53906 | + | 3.52931i | −0.349527 | + | 0.188650i | ||||
\(351\) | −10.2610 | − | 17.7445i | −0.547689 | − | 0.947132i | ||||
\(352\) | 12.2619 | + | 21.2382i | 0.653562 | + | 1.13200i | ||||
\(353\) | −20.6455 | + | 17.3236i | −1.09885 | + | 0.922042i | −0.997347 | − | 0.0727931i | \(-0.976809\pi\) |
−0.101500 | + | 0.994836i | \(0.532364\pi\) | |||||||
\(354\) | 11.0535 | − | 7.27360i | 0.587486 | − | 0.386587i | ||||
\(355\) | −0.400842 | + | 2.27329i | −0.0212745 | + | 0.120654i | ||||
\(356\) | 2.26044 | − | 12.8196i | 0.119803 | − | 0.679436i | ||||
\(357\) | −3.48100 | − | 1.15101i | −0.184234 | − | 0.0609178i | ||||
\(358\) | −2.55287 | + | 2.14211i | −0.134923 | + | 0.113214i | ||||
\(359\) | 8.93724 | − | 15.4797i | 0.471689 | − | 0.816990i | −0.527786 | − | 0.849377i | \(-0.676978\pi\) |
0.999475 | + | 0.0323875i | \(0.0103111\pi\) | |||||||
\(360\) | 0.537024 | − | 9.29320i | 0.0283036 | − | 0.489795i | ||||
\(361\) | 6.06911 | + | 10.5120i | 0.319427 | + | 0.553264i | ||||
\(362\) | 10.2938 | − | 8.63753i | 0.541031 | − | 0.453979i | ||||
\(363\) | 4.49281 | + | 10.4090i | 0.235811 | + | 0.546330i | ||||
\(364\) | −4.59156 | − | 13.8374i | −0.240663 | − | 0.725279i | ||||
\(365\) | −5.74491 | + | 2.09098i | −0.300703 | + | 0.109447i | ||||
\(366\) | 5.98201 | − | 8.03905i | 0.312684 | − | 0.420208i | ||||
\(367\) | −5.08005 | − | 1.84899i | −0.265176 | − | 0.0965163i | 0.206010 | − | 0.978550i | \(-0.433952\pi\) |
−0.471187 | + | 0.882034i | \(0.656174\pi\) | |||||||
\(368\) | −2.76499 | − | 4.78911i | −0.144135 | − | 0.249650i | ||||
\(369\) | −7.75937 | − | 5.09836i | −0.403936 | − | 0.265410i | ||||
\(370\) | 1.27378 | + | 2.20625i | 0.0662205 | + | 0.114697i | ||||
\(371\) | −16.7722 | − | 21.1939i | −0.870769 | − | 1.10033i | ||||
\(372\) | 18.3382 | − | 4.35065i | 0.950794 | − | 0.225571i | ||||
\(373\) | −4.15661 | + | 1.51288i | −0.215221 | + | 0.0783341i | −0.447381 | − | 0.894344i | \(-0.647643\pi\) |
0.232159 | + | 0.972678i | \(0.425421\pi\) | |||||||
\(374\) | −2.44562 | + | 0.890132i | −0.126460 | + | 0.0460276i | ||||
\(375\) | −14.6642 | + | 9.64955i | −0.757254 | + | 0.498301i | ||||
\(376\) | −0.354283 | − | 2.00924i | −0.0182707 | − | 0.103618i | ||||
\(377\) | 8.92080 | 0.459444 | ||||||||
\(378\) | −0.298834 | + | 10.6722i | −0.0153703 | + | 0.548919i | ||||
\(379\) | −16.8581 | −0.865944 | −0.432972 | − | 0.901407i | \(-0.642535\pi\) | ||||
−0.432972 | + | 0.901407i | \(0.642535\pi\) | |||||||
\(380\) | −0.747388 | − | 4.23865i | −0.0383402 | − | 0.217438i | ||||
\(381\) | −0.111095 | − | 1.89998i | −0.00569157 | − | 0.0973389i | ||||
\(382\) | −15.1306 | + | 5.50711i | −0.774151 | + | 0.281768i | ||||
\(383\) | −29.7629 | + | 10.8328i | −1.52081 | + | 0.553531i | −0.961351 | − | 0.275325i | \(-0.911214\pi\) |
−0.559462 | + | 0.828856i | \(0.688992\pi\) | |||||||
\(384\) | −11.0992 | − | 11.7591i | −0.566406 | − | 0.600082i | ||||
\(385\) | 4.80774 | − | 12.1164i | 0.245025 | − | 0.617508i | ||||
\(386\) | −5.80563 | − | 10.0557i | −0.295499 | − | 0.511819i | ||||
\(387\) | −21.1813 | + | 22.4714i | −1.07671 | + | 1.14228i | ||||
\(388\) | −3.96169 | − | 6.86185i | −0.201124 | − | 0.348357i | ||||
\(389\) | 15.9166 | + | 5.79315i | 0.807002 | + | 0.293725i | 0.712385 | − | 0.701789i | \(-0.247615\pi\) |
0.0946169 | + | 0.995514i | \(0.469837\pi\) | |||||||
\(390\) | 2.47332 | + | 5.73021i | 0.125241 | + | 0.290160i | ||||
\(391\) | 5.57951 | − | 2.03078i | 0.282168 | − | 0.102701i | ||||
\(392\) | −4.24375 | + | 17.9718i | −0.214342 | + | 0.907715i | ||||
\(393\) | −11.8227 | + | 15.8882i | −0.596377 | + | 0.801453i | ||||
\(394\) | −12.4844 | + | 10.4757i | −0.628955 | + | 0.527756i | ||||
\(395\) | −3.58664 | − | 6.21225i | −0.180464 | − | 0.312572i | ||||
\(396\) | −10.4888 | − | 14.0755i | −0.527082 | − | 0.707322i | ||||
\(397\) | −1.93889 | + | 3.35826i | −0.0973102 | + | 0.168546i | −0.910570 | − | 0.413354i | \(-0.864357\pi\) |
0.813260 | + | 0.581900i | \(0.197691\pi\) | |||||||
\(398\) | −10.7600 | + | 9.02867i | −0.539348 | + | 0.452566i | ||||
\(399\) | 2.43495 | + | 11.7545i | 0.121900 | + | 0.588461i | ||||
\(400\) | −0.467947 | + | 2.65386i | −0.0233974 | + | 0.132693i | ||||
\(401\) | 3.08785 | − | 17.5121i | 0.154200 | − | 0.874511i | −0.805314 | − | 0.592849i | \(-0.798003\pi\) |
0.959514 | − | 0.281662i | \(-0.0908857\pi\) | |||||||
\(402\) | −12.4926 | − | 6.27047i | −0.623075 | − | 0.312743i | ||||
\(403\) | −23.5396 | + | 19.7520i | −1.17259 | + | 0.983919i | ||||
\(404\) | −6.22905 | − | 10.7890i | −0.309907 | − | 0.536774i | ||||
\(405\) | 0.625142 | + | 10.5676i | 0.0310636 | + | 0.525107i | ||||
\(406\) | −3.95570 | − | 2.43766i | −0.196318 | − | 0.120979i | ||||
\(407\) | 10.9776 | + | 3.99552i | 0.544140 | + | 0.198051i | ||||
\(408\) | 3.05378 | − | 2.00950i | 0.151185 | − | 0.0994851i | ||||
\(409\) | −14.8804 | + | 5.41601i | −0.735786 | + | 0.267804i | −0.682612 | − | 0.730781i | \(-0.739156\pi\) |
−0.0531743 | + | 0.998585i | \(0.516934\pi\) | |||||||
\(410\) | 2.16558 | + | 1.81714i | 0.106950 | + | 0.0897419i | ||||
\(411\) | 0.287913 | − | 0.0683059i | 0.0142017 | − | 0.00336928i | ||||
\(412\) | 19.2426 | − | 16.1465i | 0.948017 | − | 0.795481i | ||||
\(413\) | −22.9036 | + | 12.3617i | −1.12701 | + | 0.608281i | ||||
\(414\) | −10.3313 | − | 13.8642i | −0.507755 | − | 0.681386i | ||||
\(415\) | 4.46367 | 0.219113 | ||||||||
\(416\) | 21.7027 | + | 7.89912i | 1.06406 | + | 0.387286i | ||||
\(417\) | 4.74162 | + | 10.9854i | 0.232198 | + | 0.537959i | ||||
\(418\) | 6.52754 | + | 5.47725i | 0.319272 | + | 0.267901i | ||||
\(419\) | 3.62696 | − | 1.32011i | 0.177189 | − | 0.0644914i | −0.251902 | − | 0.967753i | \(-0.581056\pi\) |
0.429091 | + | 0.903261i | \(0.358834\pi\) | |||||||
\(420\) | −1.08650 | + | 7.45071i | −0.0530157 | + | 0.363558i | ||||
\(421\) | 4.10604 | + | 23.2865i | 0.200116 | + | 1.13491i | 0.904942 | + | 0.425534i | \(0.139914\pi\) |
−0.704827 | + | 0.709380i | \(0.748975\pi\) | |||||||
\(422\) | −17.0134 | −0.828201 | ||||||||
\(423\) | 0.666450 | + | 2.22242i | 0.0324039 | + | 0.108058i | ||||
\(424\) | 26.9485 | 1.30873 | ||||||||
\(425\) | −2.71893 | − | 0.989611i | −0.131888 | − | 0.0480032i | ||||
\(426\) | 1.81196 | + | 1.91969i | 0.0877896 | + | 0.0930091i | ||||
\(427\) | −13.0970 | + | 14.7292i | −0.633808 | + | 0.712796i | ||||
\(428\) | 19.1785 | + | 16.0927i | 0.927027 | + | 0.777868i | ||||
\(429\) | 25.5785 | + | 12.8387i | 1.23494 | + | 0.619860i | ||||
\(430\) | 7.20283 | − | 6.04389i | 0.347351 | − | 0.291462i | ||||
\(431\) | −0.690915 | + | 1.19670i | −0.0332802 | + | 0.0576430i | −0.882186 | − | 0.470902i | \(-0.843929\pi\) |
0.848906 | + | 0.528545i | \(0.177262\pi\) | |||||||
\(432\) | 2.96773 | + | 2.48677i | 0.142785 | + | 0.119645i | ||||
\(433\) | 6.45364 | 0.310142 | 0.155071 | − | 0.987903i | \(-0.450439\pi\) | ||||
0.155071 | + | 0.987903i | \(0.450439\pi\) | |||||||
\(434\) | 15.8354 | − | 2.32621i | 0.760122 | − | 0.111662i | ||||
\(435\) | −4.11757 | − | 2.06675i | −0.197423 | − | 0.0990931i | ||||
\(436\) | 1.86974 | − | 10.6038i | 0.0895444 | − | 0.507832i | ||||
\(437\) | −14.8921 | − | 12.4960i | −0.712388 | − | 0.597764i | ||||
\(438\) | −2.00362 | + | 6.69809i | −0.0957365 | + | 0.320047i | ||||
\(439\) | −20.1250 | − | 7.32489i | −0.960512 | − | 0.349598i | −0.186278 | − | 0.982497i | \(-0.559642\pi\) |
−0.774234 | + | 0.632899i | \(0.781865\pi\) | |||||||
\(440\) | 6.49862 | + | 11.2559i | 0.309810 | + | 0.536606i | ||||
\(441\) | 2.41125 | − | 20.8611i | 0.114822 | − | 0.993386i | ||||
\(442\) | −1.22550 | + | 2.12262i | −0.0582909 | + | 0.100963i | ||||
\(443\) | −27.0022 | + | 22.6576i | −1.28291 | + | 1.07649i | −0.290079 | + | 0.957003i | \(0.593682\pi\) |
−0.992835 | + | 0.119491i | \(0.961874\pi\) | |||||||
\(444\) | −6.70240 | − | 0.781852i | −0.318082 | − | 0.0371051i | ||||
\(445\) | 1.90334 | − | 10.7944i | 0.0902271 | − | 0.511703i | ||||
\(446\) | 11.8067 | + | 9.90698i | 0.559063 | + | 0.469109i | ||||
\(447\) | −2.50041 | − | 5.79297i | −0.118265 | − | 0.273998i | ||||
\(448\) | −5.01819 | − | 6.34116i | −0.237087 | − | 0.299592i | ||||
\(449\) | −10.7147 | + | 18.5584i | −0.505658 | + | 0.875825i | 0.494321 | + | 0.869280i | \(0.335417\pi\) |
−0.999979 | + | 0.00654545i | \(0.997917\pi\) | |||||||
\(450\) | −0.486079 | + | 8.41159i | −0.0229140 | + | 0.396526i | ||||
\(451\) | 12.9634 | 0.610422 | ||||||||
\(452\) | 4.18852 | + | 23.7543i | 0.197012 | + | 1.11731i | ||||
\(453\) | −1.95017 | − | 2.06612i | −0.0916270 | − | 0.0970747i | ||||
\(454\) | 3.29107 | − | 18.6646i | 0.154458 | − | 0.875972i | ||||
\(455\) | −3.86621 | − | 11.6515i | −0.181251 | − | 0.546229i | ||||
\(456\) | −10.6971 | − | 5.36922i | −0.500936 | − | 0.251437i | ||||
\(457\) | −0.549899 | − | 3.11863i | −0.0257232 | − | 0.145883i | 0.969241 | − | 0.246113i | \(-0.0791534\pi\) |
−0.994964 | + | 0.100229i | \(0.968042\pi\) | |||||||
\(458\) | 6.15637 | − | 10.6631i | 0.287668 | − | 0.498256i | ||||
\(459\) | −3.18282 | + | 2.67441i | −0.148561 | + | 0.124831i | ||||
\(460\) | −6.09694 | − | 10.5602i | −0.284271 | − | 0.492373i | ||||
\(461\) | 11.0098 | + | 4.00726i | 0.512780 | + | 0.186636i | 0.585433 | − | 0.810721i | \(-0.300925\pi\) |
−0.0726535 | + | 0.997357i | \(0.523147\pi\) | |||||||
\(462\) | −7.83388 | − | 12.6825i | −0.364465 | − | 0.590042i | ||||
\(463\) | −18.8553 | − | 15.8215i | −0.876282 | − | 0.735288i | 0.0891290 | − | 0.996020i | \(-0.471592\pi\) |
−0.965411 | + | 0.260732i | \(0.916036\pi\) | |||||||
\(464\) | −1.58346 | + | 0.576331i | −0.0735101 | + | 0.0267555i | ||||
\(465\) | 15.4413 | − | 3.66336i | 0.716071 | − | 0.169884i | ||||
\(466\) | −0.389262 | − | 2.20762i | −0.0180322 | − | 0.102266i | ||||
\(467\) | 6.62096 | − | 11.4678i | 0.306381 | − | 0.530668i | −0.671186 | − | 0.741289i | \(-0.734215\pi\) |
0.977568 | + | 0.210620i | \(0.0675484\pi\) | |||||||
\(468\) | −16.0875 | − | 3.80509i | −0.743647 | − | 0.175890i | ||||
\(469\) | 23.4066 | + | 14.4241i | 1.08082 | + | 0.666043i | ||||
\(470\) | −0.122676 | − | 0.695727i | −0.00565860 | − | 0.0320915i | ||||
\(471\) | −1.45403 | − | 3.36871i | −0.0669982 | − | 0.155222i | ||||
\(472\) | 4.50627 | − | 25.5563i | 0.207418 | − | 1.17632i | ||||
\(473\) | 7.48717 | − | 42.4618i | 0.344260 | − | 1.95240i | ||||
\(474\) | −8.14791 | − | 0.950475i | −0.374246 | − | 0.0436568i | ||||
\(475\) | 1.64504 | + | 9.32947i | 0.0754795 | + | 0.428066i | ||||
\(476\) | −2.60211 | + | 1.40443i | −0.119268 | + | 0.0643721i | ||||
\(477\) | −30.4375 | + | 3.57168i | −1.39364 | + | 0.163536i | ||||
\(478\) | −7.81702 | + | 13.5395i | −0.357542 | + | 0.619281i | ||||
\(479\) | 5.79407 | + | 32.8598i | 0.264738 | + | 1.50140i | 0.769780 | + | 0.638309i | \(0.220366\pi\) |
−0.505042 | + | 0.863095i | \(0.668523\pi\) | |||||||
\(480\) | −8.18725 | − | 8.67402i | −0.373695 | − | 0.395913i | ||||
\(481\) | 10.3383 | − | 3.76282i | 0.471384 | − | 0.171570i | ||||
\(482\) | 12.5824 | + | 10.5579i | 0.573114 | + | 0.480900i | ||||
\(483\) | 17.8725 | + | 28.9342i | 0.813226 | + | 1.31655i | ||||
\(484\) | 8.59206 | + | 3.12725i | 0.390548 | + | 0.142148i | ||||
\(485\) | −3.33584 | − | 5.77785i | −0.151473 | − | 0.262358i | ||||
\(486\) | 10.1219 | + | 6.64079i | 0.459138 | + | 0.301232i | ||||
\(487\) | 1.15530 | − | 2.00104i | 0.0523516 | − | 0.0906757i | −0.838662 | − | 0.544652i | \(-0.816662\pi\) |
0.891014 | + | 0.453977i | \(0.149995\pi\) | |||||||
\(488\) | −3.41258 | − | 19.3537i | −0.154480 | − | 0.876100i | ||||
\(489\) | −0.696142 | − | 11.9056i | −0.0314806 | − | 0.538391i | ||||
\(490\) | −1.46946 | + | 6.22301i | −0.0663834 | + | 0.281127i | ||||
\(491\) | −2.96527 | + | 16.8169i | −0.133821 | + | 0.758936i | 0.841853 | + | 0.539708i | \(0.181465\pi\) |
−0.975674 | + | 0.219229i | \(0.929646\pi\) | |||||||
\(492\) | −7.28570 | + | 1.72849i | −0.328465 | + | 0.0779265i | ||||
\(493\) | −0.314179 | − | 1.78180i | −0.0141499 | − | 0.0802481i | ||||
\(494\) | 8.02481 | 0.361053 | ||||||||
\(495\) | −8.83183 | − | 11.8519i | −0.396961 | − | 0.532705i | ||||
\(496\) | 2.90222 | − | 5.02680i | 0.130314 | − | 0.225710i | ||||
\(497\) | −3.22213 | − | 4.07160i | −0.144532 | − | 0.182636i | ||||
\(498\) | 3.04728 | − | 4.09515i | 0.136552 | − | 0.183508i | ||||
\(499\) | 1.93332 | + | 1.62225i | 0.0865475 | + | 0.0726220i | 0.685035 | − | 0.728510i | \(-0.259787\pi\) |
−0.598487 | + | 0.801132i | \(0.704231\pi\) | |||||||
\(500\) | −2.45843 | + | 13.9425i | −0.109944 | + | 0.623525i | ||||
\(501\) | 13.3738 | − | 17.9726i | 0.597496 | − | 0.802957i | ||||
\(502\) | −3.55876 | + | 2.98615i | −0.158835 | + | 0.133278i | ||||
\(503\) | 16.5818 | − | 28.7204i | 0.739344 | − | 1.28058i | −0.213447 | − | 0.976955i | \(-0.568469\pi\) |
0.952791 | − | 0.303627i | \(-0.0981975\pi\) | |||||||
\(504\) | 14.8186 | + | 14.7930i | 0.660075 | + | 0.658931i | ||||
\(505\) | −5.24502 | − | 9.08463i | −0.233400 | − | 0.404261i | ||||
\(506\) | 22.6855 | + | 8.25683i | 1.00849 | + | 0.367061i | ||||
\(507\) | 4.31646 | − | 1.02406i | 0.191701 | − | 0.0454800i | ||||
\(508\) | −1.17584 | − | 0.986650i | −0.0521696 | − | 0.0437755i | ||||
\(509\) | 1.49047 | − | 8.45288i | 0.0660639 | − | 0.374667i | −0.933794 | − | 0.357811i | \(-0.883523\pi\) |
0.999858 | − | 0.0168561i | \(-0.00536571\pi\) | |||||||
\(510\) | 1.05742 | − | 0.695819i | 0.0468232 | − | 0.0308114i | ||||
\(511\) | 5.07193 | − | 12.7822i | 0.224369 | − | 0.565450i | ||||
\(512\) | −8.29398 | −0.366545 | ||||||||
\(513\) | 12.7936 | + | 4.64661i | 0.564853 | + | 0.205153i | ||||
\(514\) | 5.35592 | − | 9.27673i | 0.236240 | − | 0.409179i | ||||
\(515\) | 16.2028 | − | 13.5958i | 0.713980 | − | 0.599101i | ||||
\(516\) | 1.45377 | + | 24.8628i | 0.0639986 | + | 1.09452i | ||||
\(517\) | −2.48165 | − | 2.08235i | −0.109143 | − | 0.0915816i | ||||
\(518\) | −5.61244 | − | 1.15646i | −0.246597 | − | 0.0508121i | ||||
\(519\) | −22.9808 | + | 5.45207i | −1.00874 | + | 0.239319i | ||||
\(520\) | 11.5021 | + | 4.18642i | 0.504400 | + | 0.183586i | ||||
\(521\) | 12.6761 | 0.555350 | 0.277675 | − | 0.960675i | \(-0.410436\pi\) | ||||
0.277675 | + | 0.960675i | \(0.410436\pi\) | |||||||
\(522\) | −4.70712 | + | 2.36669i | −0.206025 | + | 0.103587i | ||||
\(523\) | 44.2582 | 1.93528 | 0.967638 | − | 0.252344i | \(-0.0812013\pi\) | ||||
0.967638 | + | 0.252344i | \(0.0812013\pi\) | |||||||
\(524\) | 2.77355 | + | 15.7296i | 0.121163 | + | 0.687150i | ||||
\(525\) | 2.39144 | − | 16.3994i | 0.104371 | − | 0.715728i | ||||
\(526\) | 9.30930 | − | 3.38831i | 0.405905 | − | 0.147737i | ||||
\(527\) | 4.77421 | + | 4.00603i | 0.207968 | + | 0.174506i | ||||
\(528\) | −5.36968 | − | 0.626387i | −0.233685 | − | 0.0272600i | ||||
\(529\) | −30.1424 | − | 10.9710i | −1.31054 | − | 0.476998i | ||||
\(530\) | 9.33131 | 0.405326 | ||||||||
\(531\) | −1.70253 | + | 29.4623i | −0.0738837 | + | 1.27856i | ||||
\(532\) | 8.24201 | + | 5.07906i | 0.357336 | + | 0.220205i | ||||
\(533\) | 9.35215 | − | 7.84739i | 0.405087 | − | 0.339908i | ||||
\(534\) | −8.60383 | − | 9.11537i | −0.372324 | − | 0.394461i | ||||
\(535\) | 16.1488 | + | 13.5504i | 0.698172 | + | 0.585836i | ||||
\(536\) | −25.7604 | + | 9.37603i | −1.11268 | + | 0.404983i | ||||
\(537\) | −0.433857 | − | 7.41994i | −0.0187223 | − | 0.320194i | ||||
\(538\) | −14.0233 | − | 5.10407i | −0.604589 | − | 0.220052i | ||||
\(539\) | 13.1809 | + | 26.1915i | 0.567743 | + | 1.12815i | ||||
\(540\) | 6.54398 | + | 5.48344i | 0.281608 | + | 0.235970i | ||||
\(541\) | 14.1100 | + | 24.4392i | 0.606635 | + | 1.05072i | 0.991791 | + | 0.127871i | \(0.0408145\pi\) |
−0.385155 | + | 0.922852i | \(0.625852\pi\) | |||||||
\(542\) | −11.2521 | + | 9.44164i | −0.483319 | + | 0.405553i | ||||
\(543\) | 1.74942 | + | 29.9191i | 0.0750747 | + | 1.28395i | ||||
\(544\) | 0.813393 | − | 4.61298i | 0.0348739 | − | 0.197780i | ||||
\(545\) | 1.57437 | − | 8.92870i | 0.0674386 | − | 0.382463i | ||||
\(546\) | −13.3289 | − | 4.40726i | −0.570426 | − | 0.188613i | ||||
\(547\) | 25.1973 | − | 21.1430i | 1.07736 | − | 0.904010i | 0.0816582 | − | 0.996660i | \(-0.473978\pi\) |
0.995699 | + | 0.0926507i | \(0.0295340\pi\) | |||||||
\(548\) | 0.119324 | − | 0.206675i | 0.00509727 | − | 0.00882872i | ||||
\(549\) | 6.41949 | + | 21.4071i | 0.273977 | + | 0.913634i | ||||
\(550\) | −5.88213 | − | 10.1881i | −0.250815 | − | 0.434424i | ||||
\(551\) | −4.53788 | + | 3.80774i | −0.193320 | + | 0.162215i | ||||
\(552\) | −33.6812 | − | 3.92900i | −1.43357 | − | 0.167229i | ||||
\(553\) | 15.8033 | + | 3.25632i | 0.672023 | + | 0.138473i | ||||
\(554\) | −9.25719 | + | 3.36934i | −0.393300 | + | 0.143150i | ||||
\(555\) | −5.64359 | − | 0.658339i | −0.239557 | − | 0.0279449i | ||||
\(556\) | 9.06789 | + | 3.30044i | 0.384564 | + | 0.139970i | ||||
\(557\) | 4.22812 | + | 7.32332i | 0.179151 | + | 0.310299i | 0.941590 | − | 0.336761i | \(-0.109332\pi\) |
−0.762439 | + | 0.647060i | \(0.775998\pi\) | |||||||
\(558\) | 7.18060 | − | 16.6674i | 0.303979 | − | 0.705585i | ||||
\(559\) | −20.3028 | − | 35.1655i | −0.858719 | − | 1.48734i | ||||
\(560\) | 1.43901 | + | 1.81838i | 0.0608091 | + | 0.0768405i | ||||
\(561\) | 1.66350 | − | 5.56109i | 0.0702331 | − | 0.234789i | ||||
\(562\) | −4.62487 | + | 1.68332i | −0.195088 | + | 0.0710064i | ||||
\(563\) | −35.0053 | + | 12.7409i | −1.47530 | + | 0.536965i | −0.949534 | − | 0.313665i | \(-0.898443\pi\) |
−0.525765 | + | 0.850630i | \(0.676221\pi\) | |||||||
\(564\) | 1.67239 | + | 0.839431i | 0.0704204 | + | 0.0353464i | ||||
\(565\) | 3.52684 | + | 20.0017i | 0.148375 | + | 0.841479i | ||||
\(566\) | 22.7165 | 0.954846 | ||||||||
\(567\) | −18.6978 | − | 14.7442i | −0.785235 | − | 0.619197i | ||||
\(568\) | 5.17712 | 0.217227 | ||||||||
\(569\) | −1.76688 | − | 10.0204i | −0.0740713 | − | 0.420079i | −0.999184 | − | 0.0403868i | \(-0.987141\pi\) |
0.925113 | − | 0.379692i | \(-0.123970\pi\) | |||||||
\(570\) | −3.70401 | − | 1.85917i | −0.155144 | − | 0.0778721i | ||||
\(571\) | −11.6130 | + | 4.22679i | −0.485989 | + | 0.176886i | −0.573382 | − | 0.819288i | \(-0.694369\pi\) |
0.0873926 | + | 0.996174i | \(0.472147\pi\) | |||||||
\(572\) | 21.6899 | − | 7.89449i | 0.906901 | − | 0.330085i | ||||
\(573\) | 10.2918 | − | 34.4056i | 0.429947 | − | 1.43731i | ||||
\(574\) | −6.29132 | + | 0.924193i | −0.262594 | + | 0.0385751i | ||||
\(575\) | 13.4197 | + | 23.2436i | 0.559639 | + | 0.969323i | ||||
\(576\) | −9.10682 | + | 1.06864i | −0.379451 | + | 0.0445265i | ||||
\(577\) | −14.3195 | − | 24.8021i | −0.596129 | − | 1.03253i | −0.993386 | − | 0.114819i | \(-0.963371\pi\) |
0.397257 | − | 0.917707i | \(-0.369962\pi\) | |||||||
\(578\) | −11.9388 | − | 4.34536i | −0.496588 | − | 0.180743i | ||||
\(579\) | 25.7224 | + | 3.00059i | 1.06899 | + | 0.124700i | ||||
\(580\) | −3.49160 | + | 1.27084i | −0.144981 | + | 0.0527687i | ||||
\(581\) | −6.67171 | + | 7.50317i | −0.276789 | + | 0.311284i | ||||
\(582\) | −7.57816 | − | 0.884011i | −0.314125 | − | 0.0366435i | ||||
\(583\) | 32.7790 | − | 27.5048i | 1.35757 | − | 1.13913i | ||||
\(584\) | 6.85572 | + | 11.8745i | 0.283692 | + | 0.491369i | ||||
\(585\) | −13.5461 | − | 3.20398i | −0.560063 | − | 0.132468i | ||||
\(586\) | −5.44760 | + | 9.43552i | −0.225038 | + | 0.389778i | ||||
\(587\) | −23.3555 | + | 19.5976i | −0.963983 | + | 0.808878i | −0.981596 | − | 0.190967i | \(-0.938838\pi\) |
0.0176135 | + | 0.999845i | \(0.494393\pi\) | |||||||
\(588\) | −10.9002 | − | 12.9627i | −0.449519 | − | 0.534572i | ||||
\(589\) | 3.54332 | − | 20.0952i | 0.146000 | − | 0.828006i | ||||
\(590\) | 1.56036 | − | 8.84925i | 0.0642390 | − | 0.364318i | ||||
\(591\) | −2.12171 | − | 36.2861i | −0.0872754 | − | 1.49261i | ||||
\(592\) | −1.59196 | + | 1.33581i | −0.0654291 | + | 0.0549016i | ||||
\(593\) | −13.4231 | − | 23.2494i | −0.551219 | − | 0.954739i | −0.998187 | − | 0.0601889i | \(-0.980830\pi\) |
0.446968 | − | 0.894550i | \(-0.352504\pi\) | |||||||
\(594\) | −16.9028 | + | 0.0115381i | −0.693531 | + | 0.000473412i | ||||
\(595\) | −2.19105 | + | 1.18257i | −0.0898241 | + | 0.0484805i | ||||
\(596\) | −4.78179 | − | 1.74043i | −0.195870 | − | 0.0712908i | ||||
\(597\) | −1.82864 | − | 31.2739i | −0.0748412 | − | 1.27996i | ||||
\(598\) | 21.3642 | − | 7.77594i | 0.873648 | − | 0.317982i | ||||
\(599\) | 28.5034 | + | 23.9172i | 1.16462 | + | 0.977229i | 0.999958 | − | 0.00912179i | \(-0.00290360\pi\) |
0.164658 | + | 0.986351i | \(0.447348\pi\) | |||||||
\(600\) | 11.3424 | + | 12.0168i | 0.463053 | + | 0.490584i | ||||
\(601\) | 4.04013 | − | 3.39007i | 0.164801 | − | 0.138284i | −0.556658 | − | 0.830742i | \(-0.687917\pi\) |
0.721458 | + | 0.692458i | \(0.243472\pi\) | |||||||
\(602\) | −0.606418 | + | 21.1411i | −0.0247157 | + | 0.861648i | ||||
\(603\) | 27.8530 | − | 14.0042i | 1.13426 | − | 0.570293i | ||||
\(604\) | −2.29138 | −0.0932348 | ||||||||
\(605\) | 7.23473 | + | 2.63323i | 0.294134 | + | 0.107056i | ||||
\(606\) | −11.9153 | − | 1.38995i | −0.484026 | − | 0.0564629i | ||||
\(607\) | 0.496810 | + | 0.416873i | 0.0201649 | + | 0.0169204i | 0.652814 | − | 0.757518i | \(-0.273588\pi\) |
−0.632649 | + | 0.774438i | \(0.718033\pi\) | |||||||
\(608\) | −14.4115 | + | 5.24535i | −0.584463 | + | 0.212727i | ||||
\(609\) | 9.62849 | − | 3.83229i | 0.390166 | − | 0.155292i | ||||
\(610\) | −1.18165 | − | 6.70150i | −0.0478438 | − | 0.271336i | ||||
\(611\) | −3.05088 | −0.123426 | ||||||||
\(612\) | −0.193427 | + | 3.34726i | −0.00781883 | + | 0.135305i | ||||
\(613\) | −16.4059 | −0.662630 | −0.331315 | − | 0.943520i | \(-0.607492\pi\) | ||||
−0.331315 | + | 0.943520i | \(0.607492\pi\) | |||||||
\(614\) | 8.40166 | + | 3.05795i | 0.339063 | + | 0.123409i | ||||
\(615\) | −6.13474 | + | 1.45543i | −0.247377 | + | 0.0586888i | ||||
\(616\) | −28.6339 | − | 5.90010i | −1.15369 | − | 0.237722i | ||||
\(617\) | 31.7556 | + | 26.6461i | 1.27843 | + | 1.07273i | 0.993458 | + | 0.114195i | \(0.0364288\pi\) |
0.284972 | + | 0.958536i | \(0.408016\pi\) | |||||||
\(618\) | −1.41190 | − | 24.1467i | −0.0567949 | − | 0.971323i | ||||
\(619\) | −5.62640 | + | 4.72111i | −0.226144 | + | 0.189757i | −0.748819 | − | 0.662775i | \(-0.769379\pi\) |
0.522675 | + | 0.852532i | \(0.324934\pi\) | |||||||
\(620\) | 6.39954 | − | 11.0843i | 0.257012 | − | 0.445157i | ||||
\(621\) | 38.5626 | − | 0.0263233i | 1.54746 | − | 0.00105632i | ||||
\(622\) | 2.54019 | 0.101852 | ||||||||
\(623\) | 15.2999 | + | 19.3334i | 0.612976 | + | 0.774578i | ||||
\(624\) | −4.25302 | + | 2.79864i | −0.170257 | + | 0.112035i | ||||
\(625\) | 1.06992 | − | 6.06784i | 0.0427970 | − | 0.242714i | ||||
\(626\) | 3.58335 | + | 3.00679i | 0.143219 | + | 0.120175i | ||||
\(627\) | −18.4915 | + | 4.38701i | −0.738479 | + | 0.175200i | ||||
\(628\) | −2.78069 | − | 1.01209i | −0.110962 | − | 0.0403868i | ||||
\(629\) | −1.11567 | − | 1.93239i | −0.0444845 | − | 0.0770494i | ||||
\(630\) | 5.13117 | + | 5.12228i | 0.204431 | + | 0.204076i | ||||
\(631\) | 2.24120 | − | 3.88187i | 0.0892206 | − | 0.154535i | −0.817961 | − | 0.575273i | \(-0.804896\pi\) |
0.907182 | + | 0.420739i | \(0.138229\pi\) | |||||||
\(632\) | −12.3242 | + | 10.3412i | −0.490229 | + | 0.411351i | ||||
\(633\) | 22.6525 | − | 30.4420i | 0.900355 | − | 1.20996i | ||||
\(634\) | 0.274514 | − | 1.55685i | 0.0109023 | − | 0.0618303i | ||||
\(635\) | −0.990090 | − | 0.830784i | −0.0392905 | − | 0.0329687i | ||||
\(636\) | −14.7551 | + | 19.8289i | −0.585077 | + | 0.786268i | ||||
\(637\) | 25.3641 | + | 10.9162i | 1.00496 | + | 0.432516i | ||||
\(638\) | 3.67814 | − | 6.37072i | 0.145619 | − | 0.252219i | ||||
\(639\) | −5.84740 | + | 0.686161i | −0.231320 | + | 0.0271441i | ||||
\(640\) | −10.9810 | −0.434062 | ||||||||
\(641\) | −4.97247 | − | 28.2003i | −0.196401 | − | 1.11384i | −0.910410 | − | 0.413707i | \(-0.864234\pi\) |
0.714009 | − | 0.700136i | \(-0.246877\pi\) | |||||||
\(642\) | 23.4562 | − | 5.56486i | 0.925743 | − | 0.219628i | ||||
\(643\) | −5.87650 | + | 33.3273i | −0.231747 | + | 1.31430i | 0.617611 | + | 0.786483i | \(0.288100\pi\) |
−0.849358 | + | 0.527817i | \(0.823011\pi\) | |||||||
\(644\) | 26.8640 | + | 5.53542i | 1.05859 | + | 0.218126i | ||||
\(645\) | 1.22411 | + | 20.9351i | 0.0481993 | + | 0.824318i | ||||
\(646\) | −0.282623 | − | 1.60284i | −0.0111197 | − | 0.0630628i | ||||
\(647\) | −1.69981 | + | 2.94416i | −0.0668266 | + | 0.115747i | −0.897503 | − | 0.441009i | \(-0.854621\pi\) |
0.830676 | + | 0.556756i | \(0.187954\pi\) | |||||||
\(648\) | 23.0971 | − | 5.49633i | 0.907342 | − | 0.215916i | ||||
\(649\) | −20.6027 | − | 35.6849i | −0.808725 | − | 1.40075i | ||||
\(650\) | −10.4109 | − | 3.78927i | −0.408350 | − | 0.148627i | ||||
\(651\) | −16.9217 | + | 31.4313i | −0.663213 | + | 1.23189i | ||||
\(652\) | −7.36806 | − | 6.18254i | −0.288556 | − | 0.242127i | ||||
\(653\) | 10.6574 | − | 3.87899i | 0.417058 | − | 0.151797i | −0.124964 | − | 0.992161i | \(-0.539881\pi\) |
0.542021 | + | 0.840365i | \(0.317659\pi\) | |||||||
\(654\) | −7.11675 | − | 7.53987i | −0.278287 | − | 0.294832i | ||||
\(655\) | 2.33540 | + | 13.2447i | 0.0912515 | + | 0.517513i | ||||
\(656\) | −1.15304 | + | 1.99712i | −0.0450186 | + | 0.0779746i | ||||
\(657\) | −9.31714 | − | 12.5032i | −0.363496 | − | 0.487797i | ||||
\(658\) | 1.35284 | + | 0.833671i | 0.0527390 | + | 0.0324999i | ||||
\(659\) | 4.10806 | + | 23.2980i | 0.160027 | + | 0.907560i | 0.954045 | + | 0.299665i | \(0.0968748\pi\) |
−0.794017 | + | 0.607895i | \(0.792014\pi\) | |||||||
\(660\) | −11.8404 | − | 1.38121i | −0.460887 | − | 0.0537637i | ||||
\(661\) | −4.74889 | + | 26.9323i | −0.184710 | + | 1.04754i | 0.741616 | + | 0.670824i | \(0.234059\pi\) |
−0.926327 | + | 0.376721i | \(0.877052\pi\) | |||||||
\(662\) | −0.912769 | + | 5.17657i | −0.0354758 | + | 0.201193i | ||||
\(663\) | −2.16631 | − | 5.01893i | −0.0841325 | − | 0.194919i | ||||
\(664\) | −1.73839 | − | 9.85892i | −0.0674628 | − | 0.382600i | ||||
\(665\) | 6.93998 | + | 4.27669i | 0.269121 | + | 0.165843i | ||||
\(666\) | −4.45678 | + | 4.72822i | −0.172697 | + | 0.183215i | ||||
\(667\) | −8.39143 | + | 14.5344i | −0.324917 | + | 0.562773i | ||||
\(668\) | −3.13742 | − | 17.7932i | −0.121390 | − | 0.688439i | ||||
\(669\) | −33.4465 | + | 7.93500i | −1.29312 | + | 0.306785i | ||||
\(670\) | −8.91992 | + | 3.24659i | −0.344607 | + | 0.125427i | ||||
\(671\) | −23.9041 | − | 20.0579i | −0.922809 | − | 0.774328i | ||||
\(672\) | 26.8177 | − | 0.797494i | 1.03452 | − | 0.0307640i | ||||
\(673\) | 26.4493 | + | 9.62674i | 1.01954 | + | 0.371084i | 0.797091 | − | 0.603860i | \(-0.206371\pi\) |
0.222453 | + | 0.974943i | \(0.428593\pi\) | |||||||
\(674\) | 0.919650 | + | 1.59288i | 0.0354236 | + | 0.0613555i | ||||
\(675\) | −14.4036 | − | 12.0693i | −0.554396 | − | 0.464549i | ||||
\(676\) | 1.78893 | − | 3.09852i | 0.0688051 | − | 0.119174i | ||||
\(677\) | −6.01340 | − | 34.1037i | −0.231114 | − | 1.31071i | −0.850646 | − | 0.525740i | \(-0.823789\pi\) |
0.619532 | − | 0.784972i | \(-0.287322\pi\) | |||||||
\(678\) | 20.7581 | + | 10.4192i | 0.797210 | + | 0.400147i | ||||
\(679\) | 14.6982 | + | 3.02861i | 0.564065 | + | 0.116227i | ||||
\(680\) | 0.431086 | − | 2.44481i | 0.0165314 | − | 0.0937542i | ||||
\(681\) | 29.0145 | + | 30.7396i | 1.11184 | + | 1.17794i | ||||
\(682\) | 4.40016 | + | 24.9546i | 0.168491 | + | 0.955560i | ||||
\(683\) | −10.9649 | −0.419560 | −0.209780 | − | 0.977749i | \(-0.567275\pi\) | ||||
−0.209780 | + | 0.977749i | \(0.567275\pi\) | |||||||
\(684\) | 9.80766 | − | 4.93118i | 0.375005 | − | 0.188549i | ||||
\(685\) | 0.100474 | − | 0.174026i | 0.00383890 | − | 0.00664918i | ||||
\(686\) | −8.26415 | − | 11.7714i | −0.315527 | − | 0.449435i | ||||
\(687\) | 10.8826 | + | 25.2130i | 0.415198 | + | 0.961935i | ||||
\(688\) | 5.87567 | + | 4.93027i | 0.224008 | + | 0.187965i | ||||
\(689\) | 6.99763 | − | 39.6855i | 0.266588 | − | 1.51190i | ||||
\(690\) | −11.6626 | − | 1.36047i | −0.443988 | − | 0.0517923i | ||||
\(691\) | −18.2055 | + | 15.2762i | −0.692571 | + | 0.581136i | −0.919649 | − | 0.392741i | \(-0.871527\pi\) |
0.227079 | + | 0.973876i | \(0.427083\pi\) | |||||||
\(692\) | −9.52425 | + | 16.4965i | −0.362058 | + | 0.627102i | ||||
\(693\) | 33.1231 | + | 2.86894i | 1.25824 | + | 0.108982i | ||||
\(694\) | 3.03636 | + | 5.25913i | 0.115259 | + | 0.199634i | ||||
\(695\) | 7.63539 | + | 2.77906i | 0.289627 | + | 0.105416i | ||||
\(696\) | −2.96123 | + | 9.89940i | −0.112245 | + | 0.375236i | ||||
\(697\) | −1.89677 | − | 1.59158i | −0.0718453 | − | 0.0602853i | ||||
\(698\) | 2.67323 | − | 15.1606i | 0.101183 | − | 0.573839i | ||||
\(699\) | 4.46836 | + | 2.24282i | 0.169009 | + | 0.0848312i | ||||
\(700\) | −8.29441 | − | 10.4811i | −0.313499 | − | 0.396148i | ||||
\(701\) | −23.7177 | −0.895806 | −0.447903 | − | 0.894082i | \(-0.647829\pi\) | ||||
−0.447903 | + | 0.894082i | \(0.647829\pi\) | |||||||
\(702\) | −12.1872 | + | 10.2404i | −0.459976 | + | 0.386501i | ||||
\(703\) | −3.65281 | + | 6.32685i | −0.137768 | + | 0.238622i | ||||
\(704\) | 9.80736 | − | 8.22936i | 0.369629 | − | 0.310156i | ||||
\(705\) | 1.40820 | + | 0.706822i | 0.0530357 | + | 0.0266204i | ||||
\(706\) | 16.0331 | + | 13.4534i | 0.603415 | + | 0.506325i | ||||
\(707\) | 23.1103 | + | 4.76195i | 0.869152 | + | 0.179092i | ||||
\(708\) | 16.3372 | + | 17.3086i | 0.613991 | + | 0.650496i | ||||
\(709\) | −19.0248 | − | 6.92446i | −0.714491 | − | 0.260054i | −0.0409060 | − | 0.999163i | \(-0.513024\pi\) |
−0.673585 | + | 0.739109i | \(0.735247\pi\) | |||||||
\(710\) | 1.79265 | 0.0672771 | ||||||||
\(711\) | 12.5492 | − | 13.3135i | 0.470631 | − | 0.499295i | ||||
\(712\) | −24.5829 | −0.921282 | ||||||||
\(713\) | −10.0387 | − | 56.9322i | −0.375951 | − | 2.13213i | ||||
\(714\) | −0.410857 | + | 2.81747i | −0.0153760 | + | 0.105441i | ||||
\(715\) | 18.2635 | − | 6.64736i | 0.683015 | − | 0.248597i | ||||
\(716\) | −4.59199 | − | 3.85314i | −0.171611 | − | 0.143999i | ||||
\(717\) | −13.8181 | − | 32.0140i | −0.516048 | − | 1.19559i | ||||
\(718\) | −13.0441 | − | 4.74765i | −0.486800 | − | 0.177181i | ||||
\(719\) | 39.7852 | 1.48374 | 0.741868 | − | 0.670546i | \(-0.233940\pi\) | ||||
0.741868 | + | 0.670546i | \(0.233940\pi\) | |||||||
\(720\) | 2.61145 | − | 0.306440i | 0.0973231 | − | 0.0114203i | ||||
\(721\) | −1.36414 | + | 47.5571i | −0.0508032 | + | 1.77112i | ||||
\(722\) | 7.22109 | − | 6.05921i | 0.268741 | − | 0.225501i | ||||
\(723\) | −35.6441 | + | 8.45636i | −1.32562 | + | 0.314496i | ||||
\(724\) | 18.5161 | + | 15.5368i | 0.688144 | + | 0.577421i | ||||
\(725\) | 7.68518 | − | 2.79718i | 0.285420 | − | 0.103885i | ||||
\(726\) | 7.35487 | − | 4.83977i | 0.272965 | − | 0.179621i | ||||
\(727\) | −47.5872 | − | 17.3203i | −1.76491 | − | 0.642375i | −0.764911 | − | 0.644135i | \(-0.777217\pi\) |
−0.999998 | + | 0.00176083i | \(0.999440\pi\) | |||||||
\(728\) | −24.2289 | + | 13.0770i | −0.897983 | + | 0.484666i | ||||
\(729\) | −25.3591 | + | 9.26917i | −0.939225 | + | 0.343303i | ||||
\(730\) | 2.37389 | + | 4.11171i | 0.0878618 | + | 0.152181i | ||||
\(731\) | −6.30876 | + | 5.29367i | −0.233338 | + | 0.195794i | ||||
\(732\) | 16.1091 | + | 8.08570i | 0.595409 | + | 0.298856i | ||||
\(733\) | −0.335943 | + | 1.90523i | −0.0124083 | + | 0.0703712i | −0.990383 | − | 0.138352i | \(-0.955820\pi\) |
0.977975 | + | 0.208723i | \(0.0669307\pi\) | |||||||
\(734\) | −0.729031 | + | 4.13454i | −0.0269090 | + | 0.152609i | ||||
\(735\) | −9.17828 | − | 10.9149i | −0.338546 | − | 0.402602i | ||||
\(736\) | −33.2846 | + | 27.9291i | −1.22689 | + | 1.02948i | ||||
\(737\) | −21.7643 | + | 37.6968i | −0.801697 | + | 1.38858i | ||||
\(738\) | −2.85282 | + | 6.62186i | −0.105014 | + | 0.243754i | ||||
\(739\) | −16.8742 | − | 29.2271i | −0.620729 | − | 1.07513i | −0.989350 | − | 0.145555i | \(-0.953503\pi\) |
0.368621 | − | 0.929580i | \(-0.379830\pi\) | |||||||
\(740\) | −3.51035 | + | 2.94553i | −0.129043 | + | 0.108280i | ||||
\(741\) | −10.6846 | + | 14.3587i | −0.392509 | + | 0.527482i | ||||
\(742\) | −13.9472 | + | 15.6854i | −0.512018 | + | 0.575828i | ||||
\(743\) | 21.6301 | − | 7.87272i | 0.793532 | − | 0.288822i | 0.0867288 | − | 0.996232i | \(-0.472359\pi\) |
0.706804 | + | 0.707410i | \(0.250136\pi\) | |||||||
\(744\) | −14.1049 | − | 32.6784i | −0.517111 | − | 1.19805i | ||||
\(745\) | −4.02639 | − | 1.46549i | −0.147515 | − | 0.0536912i | ||||
\(746\) | 1.71758 | + | 2.97494i | 0.0628851 | + | 0.108920i | ||||
\(747\) | 3.27014 | + | 10.9050i | 0.119648 | + | 0.398992i | ||||
\(748\) | −2.34070 | − | 4.05421i | −0.0855844 | − | 0.148236i | ||||
\(749\) | −46.9145 | + | 6.89173i | −1.71422 | + | 0.251818i | ||||
\(750\) | 9.35745 | + | 9.91380i | 0.341686 | + | 0.362001i | ||||
\(751\) | −15.6562 | + | 5.69839i | −0.571303 | + | 0.207937i | −0.611486 | − | 0.791255i | \(-0.709428\pi\) |
0.0401834 | + | 0.999192i | \(0.487206\pi\) | |||||||
\(752\) | 0.541537 | − | 0.197103i | 0.0197478 | − | 0.00718762i | ||||
\(753\) | −0.604805 | − | 10.3436i | −0.0220403 | − | 0.376940i | ||||
\(754\) | −1.20301 | − | 6.82258i | −0.0438109 | − | 0.248464i | ||||
\(755\) | −1.92940 | −0.0702179 | ||||||||
\(756\) | −18.9984 | + | 2.80411i | −0.690966 | + | 0.101985i | ||||
\(757\) | 3.53194 | 0.128370 | 0.0641852 | − | 0.997938i | \(-0.479555\pi\) | ||||
0.0641852 | + | 0.997938i | \(0.479555\pi\) | |||||||
\(758\) | 2.27339 | + | 12.8930i | 0.0825731 | + | 0.468295i | ||||
\(759\) | −44.9784 | + | 29.5974i | −1.63261 | + | 1.07432i | ||||
\(760\) | −7.63787 | + | 2.77996i | −0.277055 | + | 0.100840i | ||||
\(761\) | −23.0492 | + | 8.38921i | −0.835532 | + | 0.304109i | −0.724127 | − | 0.689666i | \(-0.757757\pi\) |
−0.111405 | + | 0.993775i | \(0.535535\pi\) | |||||||
\(762\) | −1.43811 | + | 0.341185i | −0.0520974 | + | 0.0123598i | ||||
\(763\) | 12.6554 | + | 15.9919i | 0.458158 | + | 0.578944i | ||||
\(764\) | −14.4815 | − | 25.0827i | −0.523923 | − | 0.907461i | ||||
\(765\) | −0.162871 | + | 2.81848i | −0.00588860 | + | 0.101902i | ||||
\(766\) | 12.2985 | + | 21.3017i | 0.444364 | + | 0.769661i | ||||
\(767\) | −36.4652 | − | 13.2722i | −1.31668 | − | 0.479233i | ||||
\(768\) | −13.8172 | + | 18.5686i | −0.498586 | + | 0.670036i | ||||
\(769\) | 9.96711 | − | 3.62773i | 0.359423 | − | 0.130819i | −0.155996 | − | 0.987758i | \(-0.549859\pi\) |
0.515419 | + | 0.856938i | \(0.327636\pi\) | |||||||
\(770\) | −9.91489 | − | 2.04300i | −0.357308 | − | 0.0736245i | ||||
\(771\) | 9.46767 | + | 21.9348i | 0.340970 | + | 0.789962i | ||||
\(772\) | 15.9995 | − | 13.4252i | 0.575834 | − | 0.483182i | ||||
\(773\) | 2.53971 | + | 4.39890i | 0.0913470 | + | 0.158218i | 0.908078 | − | 0.418801i | \(-0.137549\pi\) |
−0.816731 | + | 0.577018i | \(0.804216\pi\) | |||||||
\(774\) | 20.0424 | + | 13.1690i | 0.720408 | + | 0.473350i | ||||
\(775\) | −14.0857 | + | 24.3972i | −0.505974 | + | 0.876372i | ||||
\(776\) | −11.4624 | + | 9.61808i | −0.411476 | + | 0.345269i | ||||
\(777\) | 9.54192 | − | 8.50254i | 0.342315 | − | 0.305027i | ||||
\(778\) | 2.28416 | − | 12.9541i | 0.0818913 | − | 0.464428i | ||||
\(779\) | −1.40774 | + | 7.98371i | −0.0504376 | + | 0.286046i | ||||
\(780\) | −9.37812 | + | 6.17114i | −0.335791 | + | 0.220962i | ||||
\(781\) | 6.29722 | − | 5.28399i | 0.225332 | − | 0.189076i | ||||
\(782\) | −2.30555 | − | 3.99333i | −0.0824462 | − | 0.142801i | ||||
\(783\) | 2.03258 | − | 11.5735i | 0.0726386 | − | 0.413605i | ||||
\(784\) | −5.20742 | − | 0.298988i | −0.185979 | − | 0.0106781i | ||||
\(785\) | −2.34141 | − | 0.852205i | −0.0835687 | − | 0.0304165i | ||||
\(786\) | 13.7456 | + | 6.89936i | 0.490288 | + | 0.246092i | ||||
\(787\) | 45.1544 | − | 16.4348i | 1.60958 | − | 0.585839i | 0.628222 | − | 0.778034i | \(-0.283783\pi\) |
0.981357 | + | 0.192195i | \(0.0615607\pi\) | |||||||
\(788\) | −22.4564 | − | 18.8432i | −0.799977 | − | 0.671260i | ||||
\(789\) | −6.33216 | + | 21.1684i | −0.225431 | + | 0.753616i | ||||
\(790\) | −4.26742 | + | 3.58079i | −0.151828 | + | 0.127399i | ||||
\(791\) | −38.8932 | − | 23.9675i | −1.38288 | − | 0.852187i | ||||
\(792\) | −22.7378 | + | 24.1227i | −0.807953 | + | 0.857162i | ||||
\(793\) | −29.3872 | −1.04357 | ||||||||
\(794\) | 2.82985 | + | 1.02998i | 0.100428 | + | 0.0365526i | ||||
\(795\) | −12.4241 | + | 16.6965i | −0.440639 | + | 0.592162i | ||||
\(796\) | −19.3545 | − | 16.2404i | −0.686003 | − | 0.575625i | ||||
\(797\) | 20.9353 | − | 7.61982i | 0.741566 | − | 0.269908i | 0.0565138 | − | 0.998402i | \(-0.482002\pi\) |
0.685052 | + | 0.728494i | \(0.259779\pi\) | |||||||
\(798\) | 8.66142 | − | 3.44738i | 0.306611 | − | 0.122036i | ||||
\(799\) | 0.107448 | + | 0.609368i | 0.00380124 | + | 0.0215579i | ||||
\(800\) | 21.1735 | 0.748595 | ||||||||
\(801\) | 27.7656 | − | 3.25814i | 0.981050 | − | 0.115121i | ||||
\(802\) | −13.8096 | −0.487632 | ||||||||
\(803\) | 20.4586 | + | 7.44632i | 0.721968 | + | 0.262775i | ||||
\(804\) | 7.20562 | − | 24.0884i | 0.254122 | − | 0.849532i | ||||
\(805\) | 22.6202 | + | 4.66096i | 0.797256 | + | 0.164277i | ||||
\(806\) | 18.2807 | + | 15.3393i | 0.643909 | + | 0.540304i | ||||
\(807\) | 27.8040 | − | 18.2960i | 0.978747 | − | 0.644051i | ||||
\(808\) | −18.0226 | + | 15.1227i | −0.634031 | + | 0.532015i | ||||
\(809\) | −8.35094 | + | 14.4642i | −0.293603 | + | 0.508536i | −0.974659 | − | 0.223696i | \(-0.928188\pi\) |
0.681056 | + | 0.732232i | \(0.261521\pi\) | |||||||
\(810\) | 7.99772 | − | 1.90318i | 0.281011 | − | 0.0668711i | ||||
\(811\) | 8.03400 | 0.282112 | 0.141056 | − | 0.990002i | \(-0.454950\pi\) | ||||
0.141056 | + | 0.990002i | \(0.454950\pi\) | |||||||
\(812\) | 3.08258 | − | 7.76865i | 0.108177 | − | 0.272626i | ||||
\(813\) | −1.91228 | − | 32.7044i | −0.0670665 | − | 1.14699i | ||||
\(814\) | 1.57538 | − | 8.93443i | 0.0552171 | − | 0.313152i | ||||
\(815\) | −6.20409 | − | 5.20585i | −0.217320 | − | 0.182353i | ||||
\(816\) | 0.708774 | + | 0.750914i | 0.0248120 | + | 0.0262872i | ||||
\(817\) | 25.3378 | + | 9.22219i | 0.886456 | + | 0.322644i | ||||
\(818\) | 6.14881 | + | 10.6501i | 0.214988 | + | 0.372371i | ||||
\(819\) | 25.6326 | − | 17.9813i | 0.895677 | − | 0.628319i | ||||
\(820\) | −2.54251 | + | 4.40375i | −0.0887882 | + | 0.153786i | ||||
\(821\) | −4.34392 | + | 3.64498i | −0.151604 | + | 0.127211i | −0.715435 | − | 0.698679i | \(-0.753771\pi\) |
0.563831 | + | 0.825890i | \(0.309327\pi\) | |||||||
\(822\) | −0.0910662 | − | 0.210983i | −0.00317630 | − | 0.00735889i | ||||
\(823\) | 4.03792 | − | 22.9002i | 0.140753 | − | 0.798250i | −0.829926 | − | 0.557873i | \(-0.811618\pi\) |
0.970680 | − | 0.240377i | \(-0.0772712\pi\) | |||||||
\(824\) | −36.3392 | − | 30.4922i | −1.26594 | − | 1.06225i | ||||
\(825\) | 26.0613 | + | 3.04012i | 0.907338 | + | 0.105843i | ||||
\(826\) | 12.5428 | + | 15.8496i | 0.436421 | + | 0.551477i | ||||
\(827\) | 19.4484 | − | 33.6855i | 0.676286 | − | 1.17136i | −0.299806 | − | 0.954000i | \(-0.596922\pi\) |
0.976091 | − | 0.217361i | \(-0.0697449\pi\) | |||||||
\(828\) | 21.3324 | − | 22.6316i | 0.741352 | − | 0.786504i | ||||
\(829\) | 33.7982 | 1.17386 | 0.586930 | − | 0.809637i | \(-0.300336\pi\) | ||||
0.586930 | + | 0.809637i | \(0.300336\pi\) | |||||||
\(830\) | −0.601944 | − | 3.41380i | −0.0208938 | − | 0.118495i | ||||
\(831\) | 6.29672 | − | 21.0499i | 0.218431 | − | 0.730214i | ||||
\(832\) | 2.09367 | − | 11.8738i | 0.0725849 | − | 0.411649i | ||||
\(833\) | 1.28706 | − | 5.45056i | 0.0445940 | − | 0.188851i | ||||
\(834\) | 7.76218 | − | 5.10780i | 0.268782 | − | 0.176869i | ||||
\(835\) | −2.64179 | − | 14.9823i | −0.0914227 | − | 0.518484i | ||||
\(836\) | −7.66369 | + | 13.2739i | −0.265054 | + | 0.459087i | ||||
\(837\) | 20.2622 | + | 35.0399i | 0.700364 | + | 1.21116i | ||||
\(838\) | −1.49872 | − | 2.59586i | −0.0517725 | − | 0.0896726i | ||||
\(839\) | 20.5933 | + | 7.49535i | 0.710960 | + | 0.258768i | 0.672083 | − | 0.740476i | \(-0.265400\pi\) |
0.0388769 | + | 0.999244i | \(0.487622\pi\) | |||||||
\(840\) | 14.2130 | − | 0.422660i | 0.490395 | − | 0.0145831i | ||||
\(841\) | −18.2977 | − | 15.3536i | −0.630956 | − | 0.529435i | ||||
\(842\) | 17.2557 | − | 6.28055i | 0.594670 | − | 0.216442i | ||||
\(843\) | 3.14583 | − | 10.5165i | 0.108348 | − | 0.362207i | ||||
\(844\) | −5.31416 | − | 30.1381i | −0.182921 | − | 1.03740i | ||||
\(845\) | 1.50633 | − | 2.60903i | 0.0518192 | − | 0.0897535i | ||||
\(846\) | 1.60982 | − | 0.809400i | 0.0553468 | − | 0.0278277i | ||||
\(847\) | −15.2398 | + | 8.22535i | −0.523646 | + | 0.282626i | ||||
\(848\) | 1.32181 | + | 7.49633i | 0.0453910 | + | 0.257425i | ||||
\(849\) | −30.2458 | + | 40.6465i | −1.03803 | + | 1.39498i | ||||
\(850\) | −0.390191 | + | 2.21288i | −0.0133834 | + | 0.0759012i | ||||
\(851\) | −3.59413 | + | 20.3833i | −0.123205 | + | 0.698731i | ||||
\(852\) | −2.83462 | + | 3.80937i | −0.0971126 | + | 0.130507i | ||||
\(853\) | 3.51646 | + | 19.9429i | 0.120401 | + | 0.682830i | 0.983933 | + | 0.178536i | \(0.0571362\pi\) |
−0.863532 | + | 0.504294i | \(0.831753\pi\) | |||||||
\(854\) | 13.0310 | + | 8.03022i | 0.445912 | + | 0.274789i | ||||
\(855\) | 8.25830 | − | 4.15218i | 0.282428 | − | 0.142002i | ||||
\(856\) | 23.6397 | − | 40.9451i | 0.807987 | − | 1.39947i | ||||
\(857\) | −7.80633 | − | 44.2719i | −0.266659 | − | 1.51230i | −0.764269 | − | 0.644898i | \(-0.776900\pi\) |
0.497609 | − | 0.867401i | \(-0.334211\pi\) | |||||||
\(858\) | 6.36963 | − | 21.2937i | 0.217456 | − | 0.726954i | ||||
\(859\) | 5.90686 | − | 2.14992i | 0.201539 | − | 0.0733544i | −0.239278 | − | 0.970951i | \(-0.576911\pi\) |
0.440818 | + | 0.897597i | \(0.354689\pi\) | |||||||
\(860\) | 12.9561 | + | 10.8715i | 0.441800 | + | 0.370715i | ||||
\(861\) | 6.72290 | − | 12.4875i | 0.229116 | − | 0.425574i | ||||
\(862\) | 1.00840 | + | 0.367029i | 0.0343463 | + | 0.0125010i | ||||
\(863\) | −1.71302 | − | 2.96703i | −0.0583117 | − | 0.100999i | 0.835396 | − | 0.549649i | \(-0.185238\pi\) |
−0.893708 | + | 0.448650i | \(0.851905\pi\) | |||||||
\(864\) | 15.1930 | − | 26.3565i | 0.516875 | − | 0.896667i | ||||
\(865\) | −8.01966 | + | 13.8905i | −0.272677 | + | 0.472290i | ||||
\(866\) | −0.870299 | − | 4.93571i | −0.0295740 | − | 0.167722i | ||||
\(867\) | 23.6710 | − | 15.5764i | 0.803909 | − | 0.529001i | ||||
\(868\) | 9.06691 | + | 27.3246i | 0.307751 | + | 0.927459i | ||||
\(869\) | −4.43589 | + | 25.1572i | −0.150477 | + | 0.853399i | ||||
\(870\) | −1.02537 | + | 3.42781i | −0.0347633 | + | 0.116214i | ||||
\(871\) | 7.11842 | + | 40.3705i | 0.241198 | + | 1.36790i | ||||
\(872\) | −20.3340 | −0.688595 | ||||||||
\(873\) | 11.6717 | − | 12.3825i | 0.395026 | − | 0.419085i | ||||
\(874\) | −7.54861 | + | 13.0746i | −0.255335 | + | 0.442254i | ||||
\(875\) | −16.6400 | − | 21.0269i | −0.562535 | − | 0.710839i | ||||
\(876\) | −12.4910 | − | 1.45711i | −0.422033 | − | 0.0492312i | ||||
\(877\) | −22.9939 | − | 19.2942i | −0.776449 | − | 0.651518i | 0.165902 | − | 0.986142i | \(-0.446946\pi\) |
−0.942352 | + | 0.334624i | \(0.891391\pi\) | |||||||
\(878\) | −2.88811 | + | 16.3793i | −0.0974689 | + | 0.552773i | ||||
\(879\) | −9.62972 | − | 22.3102i | −0.324802 | − | 0.752506i | ||||
\(880\) | −2.81234 | + | 2.35983i | −0.0948040 | + | 0.0795500i | ||||
\(881\) | −12.6884 | + | 21.9770i | −0.427484 | + | 0.740424i | −0.996649 | − | 0.0817996i | \(-0.973933\pi\) |
0.569165 | + | 0.822223i | \(0.307267\pi\) | |||||||
\(882\) | −16.2796 | + | 0.969090i | −0.548164 | + | 0.0326310i | ||||
\(883\) | −20.4217 | − | 35.3714i | −0.687245 | − | 1.19034i | −0.972726 | − | 0.231959i | \(-0.925486\pi\) |
0.285480 | − | 0.958385i | \(-0.407847\pi\) | |||||||
\(884\) | −4.14286 | − | 1.50788i | −0.139339 | − | 0.0507154i | ||||
\(885\) | 13.7564 | + | 14.5742i | 0.462415 | + | 0.489908i | ||||
\(886\) | 20.9698 | + | 17.5957i | 0.704493 | + | 0.591139i | ||||
\(887\) | 3.79256 | − | 21.5087i | 0.127342 | − | 0.722191i | −0.852548 | − | 0.522649i | \(-0.824944\pi\) |
0.979889 | − | 0.199541i | \(-0.0639452\pi\) | |||||||
\(888\) | 0.743842 | + | 12.7214i | 0.0249617 | + | 0.426902i | ||||
\(889\) | 2.87636 | − | 0.422536i | 0.0964699 | − | 0.0141714i | ||||
\(890\) | −8.51218 | −0.285329 | ||||||||
\(891\) | 22.4845 | − | 30.2594i | 0.753261 | − | 1.01373i | ||||
\(892\) | −13.8617 | + | 24.0092i | −0.464124 | + | 0.803886i | ||||
\(893\) | 1.55194 | − | 1.30223i | 0.0519337 | − | 0.0435776i | ||||
\(894\) | −4.09325 | + | 2.69351i | −0.136899 | + | 0.0900843i | ||||
\(895\) | −3.86657 | − | 3.24444i | −0.129245 | − | 0.108450i | ||||
\(896\) | 16.4130 | − | 18.4584i | 0.548319 | − | 0.616653i | ||||
\(897\) | −14.5319 | + | 48.5801i | −0.485206 | + | 1.62204i | ||||
\(898\) | 15.6383 | + | 5.69187i | 0.521857 | + | 0.189940i | ||||
\(899\) | −17.6158 | −0.587520 | ||||||||
\(900\) | −15.0524 | + | 1.76631i | −0.501746 | + | 0.0588771i | ||||
\(901\) | −8.17304 | −0.272283 | ||||||||
\(902\) | −1.74816 | − | 9.91433i | −0.0582075 | − | 0.330111i | ||||
\(903\) | −37.0203 | − | 29.2333i | −1.23196 | − | 0.972825i | ||||
\(904\) | 42.8043 | − | 15.5795i | 1.42365 | − | 0.518166i | ||||
\(905\) | 15.5910 | + | 13.0824i | 0.518262 | + | 0.434873i | ||||
\(906\) | −1.31717 | + | 1.77011i | −0.0437600 | + | 0.0588078i | ||||
\(907\) | 46.5283 | + | 16.9349i | 1.54495 | + | 0.562315i | 0.967225 | − | 0.253919i | \(-0.0817198\pi\) |
0.577721 | + | 0.816234i | \(0.303942\pi\) | |||||||
\(908\) | 34.0910 | 1.13135 | ||||||||
\(909\) | 18.3516 | − | 19.4693i | 0.608685 | − | 0.645757i | ||||
\(910\) | −8.38962 | + | 4.52811i | −0.278113 | + | 0.150105i | ||||
\(911\) | 21.9785 | − | 18.4421i | 0.728180 | − | 0.611015i | −0.201455 | − | 0.979498i | \(-0.564567\pi\) |
0.929635 | + | 0.368483i | \(0.120123\pi\) | |||||||
\(912\) | 0.968885 | − | 3.23898i | 0.0320830 | − | 0.107253i | ||||
\(913\) | −12.1770 | − | 10.2177i | −0.402998 | − | 0.338156i | ||||
\(914\) | −2.31096 | + | 0.841120i | −0.0764397 | + | 0.0278218i | ||||
\(915\) | 13.5643 | + | 6.80836i | 0.448421 | + | 0.225077i | ||||
\(916\) | 20.8120 | + | 7.57494i | 0.687647 | + | 0.250283i | ||||
\(917\) | −25.7542 | − | 15.8708i | −0.850478 | − | 0.524099i | ||||
\(918\) | 2.47459 | + | 2.07355i | 0.0816737 | + | 0.0684375i | ||||
\(919\) | 6.52069 | + | 11.2942i | 0.215098 | + | 0.372560i | 0.953303 | − | 0.302016i | \(-0.0976597\pi\) |
−0.738205 | + | 0.674576i | \(0.764326\pi\) | |||||||
\(920\) | −17.6403 | + | 14.8020i | −0.581585 | + | 0.488007i | ||||
\(921\) | −16.6579 | + | 10.9615i | −0.548898 | + | 0.361195i | ||||
\(922\) | 1.58001 | − | 8.96067i | 0.0520348 | − | 0.295104i | ||||
\(923\) | 1.34433 | − | 7.62405i | 0.0442490 | − | 0.250949i | ||||
\(924\) | 20.0192 | − | 17.8386i | 0.658584 | − | 0.586845i | ||||
\(925\) | 7.72645 | − | 6.48326i | 0.254044 | − | 0.213168i | ||||
\(926\) | −9.55750 | + | 16.5541i | −0.314079 | + | 0.544001i | ||||
\(927\) | 45.0854 | + | 29.6238i | 1.48080 | + | 0.972972i | ||||
\(928\) | 6.61996 | + | 11.4661i | 0.217311 | + | 0.376393i | ||||
\(929\) | 22.8119 | − | 19.1415i | 0.748435 | − | 0.628012i | −0.186653 | − | 0.982426i | \(-0.559764\pi\) |
0.935089 | + | 0.354414i | \(0.115320\pi\) | |||||||
\(930\) | −4.88403 | − | 11.3154i | −0.160154 | − | 0.371046i | ||||
\(931\) | −17.5618 | + | 5.27346i | −0.575566 | + | 0.172831i | ||||
\(932\) | 3.78905 | − | 1.37910i | 0.124115 | − | 0.0451740i | ||||
\(933\) | −3.38213 | + | 4.54515i | −0.110726 | + | 0.148801i | ||||
\(934\) | −9.66341 | − | 3.51719i | −0.316196 | − | 0.115086i | ||||
\(935\) | −1.97093 | − | 3.41374i | −0.0644562 | − | 0.111641i | ||||
\(936\) | −1.80105 | + | 31.1671i | −0.0588691 | + | 1.01873i | ||||
\(937\) | −15.6815 | − | 27.1611i | −0.512292 | − | 0.887316i | −0.999898 | − | 0.0142523i | \(-0.995463\pi\) |
0.487606 | − | 0.873064i | \(-0.337870\pi\) | |||||||
\(938\) | 7.87501 | − | 19.8464i | 0.257128 | − | 0.648009i | ||||
\(939\) | −10.1511 | + | 2.40829i | −0.331268 | + | 0.0785915i | ||||
\(940\) | 1.19411 | − | 0.434622i | 0.0389477 | − | 0.0141758i | ||||
\(941\) | −10.1312 | + | 3.68746i | −0.330268 | + | 0.120208i | −0.501832 | − | 0.864965i | \(-0.667340\pi\) |
0.171564 | + | 0.985173i | \(0.445118\pi\) | |||||||
\(942\) | −2.38029 | + | 1.56632i | −0.0775542 | + | 0.0510335i | ||||
\(943\) | 3.98832 | + | 22.6189i | 0.129878 | + | 0.736572i | ||||
\(944\) | 7.33009 | 0.238574 | ||||||||
\(945\) | −15.9971 | + | 2.36113i | −0.520387 | + | 0.0768076i | ||||
\(946\) | −33.4843 | −1.08867 | ||||||||
\(947\) | −7.91530 | − | 44.8899i | −0.257213 | − | 1.45873i | −0.790328 | − | 0.612684i | \(-0.790090\pi\) |
0.533116 | − | 0.846042i | \(-0.321021\pi\) | |||||||
\(948\) | −0.861307 | − | 14.7303i | −0.0279740 | − | 0.478419i | ||||
\(949\) | 19.2670 | − | 7.01263i | 0.625435 | − | 0.227640i | ||||
\(950\) | 6.91330 | − | 2.51623i | 0.224297 | − | 0.0816374i | ||||
\(951\) | 2.42015 | + | 2.56405i | 0.0784789 | + | 0.0831449i | ||||
\(952\) | 3.46525 | + | 4.37881i | 0.112309 | + | 0.141918i | ||||
\(953\) | 6.83570 | + | 11.8398i | 0.221430 | + | 0.383528i | 0.955242 | − | 0.295824i | \(-0.0955942\pi\) |
−0.733812 | + | 0.679352i | \(0.762261\pi\) | |||||||
\(954\) | 6.83623 | + | 22.7968i | 0.221331 | + | 0.738074i | ||||
\(955\) | −12.1938 | − | 21.1203i | −0.394582 | − | 0.683436i | ||||
\(956\) | −26.4259 | − | 9.61823i | −0.854674 | − | 0.311076i | ||||
\(957\) | 6.50185 | + | 15.0635i | 0.210175 | + | 0.486935i | ||||
\(958\) | 24.3497 | − | 8.86256i | 0.786703 | − | 0.286336i | ||||
\(959\) | 0.142352 | + | 0.429001i | 0.00459678 | + | 0.0138532i | ||||
\(960\) | −3.71727 | + | 4.99553i | −0.119974 | + | 0.161230i | ||||
\(961\) | 22.7359 | − | 19.0777i | 0.733417 | − | 0.615410i | ||||
\(962\) | −4.27194 | − | 7.39921i | −0.137733 | − | 0.238560i | ||||
\(963\) | −21.2735 | + | 49.3794i | −0.685530 | + | 1.59123i | ||||
\(964\) | −14.7725 | + | 25.5867i | −0.475789 | + | 0.824091i | ||||
\(965\) | 13.4720 | − | 11.3043i | 0.433678 | − | 0.363899i | ||||
\(966\) | 19.7186 | − | 17.5707i | 0.634435 | − | 0.565327i | ||||
\(967\) | 0.457414 | − | 2.59412i | 0.0147094 | − | 0.0834214i | −0.976569 | − | 0.215203i | \(-0.930959\pi\) |
0.991279 | + | 0.131782i | \(0.0420698\pi\) | |||||||
\(968\) | 2.99842 | − | 17.0049i | 0.0963729 | − | 0.546558i | ||||
\(969\) | 3.24424 | + | 1.62840i | 0.104220 | + | 0.0523116i | ||||
\(970\) | −3.96902 | + | 3.33040i | −0.127437 | + | 0.106933i | ||||
\(971\) | −15.9506 | − | 27.6272i | −0.511878 | − | 0.886599i | −0.999905 | − | 0.0137705i | \(-0.995617\pi\) |
0.488027 | − | 0.872829i | \(-0.337717\pi\) | |||||||
\(972\) | −8.60210 | + | 20.0045i | −0.275913 | + | 0.641644i | ||||
\(973\) | −16.0838 | + | 8.68088i | −0.515623 | + | 0.278296i | ||||
\(974\) | −1.68618 | − | 0.613720i | −0.0540287 | − | 0.0196648i | ||||
\(975\) | 20.6417 | − | 13.5830i | 0.661064 | − | 0.435004i | ||||
\(976\) | 5.21628 | − | 1.89857i | 0.166969 | − | 0.0607717i | ||||
\(977\) | 39.1034 | + | 32.8116i | 1.25103 | + | 1.04974i | 0.996579 | + | 0.0826513i | \(0.0263388\pi\) |
0.254450 | + | 0.967086i | \(0.418106\pi\) | |||||||
\(978\) | −9.01149 | + | 2.13793i | −0.288156 | + | 0.0683634i | ||||
\(979\) | −29.9015 | + | 25.0903i | −0.955656 | + | 0.801891i | ||||
\(980\) | −11.4826 | − | 0.659283i | −0.366799 | − | 0.0210600i | ||||
\(981\) | 22.9666 | − | 2.69501i | 0.733268 | − | 0.0860450i | ||||
\(982\) | 13.2614 | 0.423187 | ||||||||
\(983\) | 39.2898 | + | 14.3003i | 1.25315 | + | 0.456109i | 0.881465 | − | 0.472250i | \(-0.156558\pi\) |
0.371685 | + | 0.928359i | \(0.378780\pi\) | |||||||
\(984\) | 5.60382 | + | 12.9830i | 0.178643 | + | 0.413882i | ||||
\(985\) | −18.9089 | − | 15.8664i | −0.602487 | − | 0.505546i | ||||
\(986\) | −1.32034 | + | 0.480565i | −0.0420482 | + | 0.0153043i | ||||
\(987\) | −3.29291 | + | 1.31063i | −0.104815 | + | 0.0417178i | ||||
\(988\) | 2.50656 | + | 14.2154i | 0.0797442 | + | 0.452252i | ||||
\(989\) | 76.3922 | 2.42913 | ||||||||
\(990\) | −7.87330 | + | 8.35283i | −0.250230 | + | 0.265470i | ||||
\(991\) | −23.2462 | −0.738438 | −0.369219 | − | 0.929342i | \(-0.620375\pi\) | ||||
−0.369219 | + | 0.929342i | \(0.620375\pi\) | |||||||
\(992\) | −42.8560 | − | 15.5983i | −1.36068 | − | 0.495247i | ||||
\(993\) | −8.04710 | − | 8.52554i | −0.255367 | − | 0.270550i | ||||
\(994\) | −2.67942 | + | 3.01334i | −0.0849861 | + | 0.0955775i | ||||
\(995\) | −16.2970 | − | 13.6748i | −0.516650 | − | 0.433521i | ||||
\(996\) | 8.20610 | + | 4.11892i | 0.260020 | + | 0.130513i | ||||
\(997\) | 24.3453 | − | 20.4281i | 0.771024 | − | 0.646966i | −0.169947 | − | 0.985453i | \(-0.554360\pi\) |
0.940971 | + | 0.338487i | \(0.109915\pi\) | |||||||
\(998\) | 0.979974 | − | 1.69736i | 0.0310205 | − | 0.0537291i | ||||
\(999\) | −2.52621 | − | 14.2699i | −0.0799256 | − | 0.451478i |
(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 | 189.2.u.a.4.10 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.u.a.550.13 | 132 | |||
7.2 | even | 3 | 189.2.w.a.58.10 | yes | 132 | ||
21.2 | odd | 6 | 567.2.w.a.226.13 | 132 | |||
27.7 | even | 9 | 189.2.w.a.88.10 | yes | 132 | ||
27.20 | odd | 18 | 567.2.w.a.424.13 | 132 | |||
189.128 | odd | 18 | 567.2.u.a.100.13 | 132 | |||
189.142 | even | 9 | inner | 189.2.u.a.142.10 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.4.10 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.u.a.142.10 | yes | 132 | 189.142 | even | 9 | inner | |
189.2.w.a.58.10 | yes | 132 | 7.2 | even | 3 | ||
189.2.w.a.88.10 | yes | 132 | 27.7 | even | 9 | ||
567.2.u.a.100.13 | 132 | 189.128 | odd | 18 | |||
567.2.u.a.550.13 | 132 | 3.2 | odd | 2 | |||
567.2.w.a.226.13 | 132 | 21.2 | odd | 6 | |||
567.2.w.a.424.13 | 132 | 27.20 | odd | 18 |