Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(5,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.f (of order \(22\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 65.1 | ||
Character | \(\chi\) | \(=\) | 138.65 |
Dual form | 138.2.f.a.17.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.909632 | + | 0.415415i | −0.643207 | + | 0.293743i | ||||
\(3\) | −1.72827 | + | 0.114314i | −0.997820 | + | 0.0659991i | ||||
\(4\) | 0.654861 | − | 0.755750i | 0.327430 | − | 0.377875i | ||||
\(5\) | −1.19773 | − | 0.769732i | −0.535640 | − | 0.344235i | 0.244692 | − | 0.969601i | \(-0.421313\pi\) |
−0.780331 | + | 0.625366i | \(0.784950\pi\) | |||||||
\(6\) | 1.52461 | − | 0.821935i | 0.622418 | − | 0.335553i | ||||
\(7\) | 3.68797 | − | 0.530250i | 1.39392 | − | 0.200416i | 0.595907 | − | 0.803053i | \(-0.296792\pi\) |
0.798015 | + | 0.602637i | \(0.205883\pi\) | |||||||
\(8\) | −0.281733 | + | 0.959493i | −0.0996075 | + | 0.339232i | ||||
\(9\) | 2.97386 | − | 0.395131i | 0.991288 | − | 0.131710i | ||||
\(10\) | 1.40925 | + | 0.202619i | 0.445644 | + | 0.0640739i | ||||
\(11\) | 2.16359 | − | 4.73760i | 0.652347 | − | 1.42844i | −0.237139 | − | 0.971476i | \(-0.576210\pi\) |
0.889485 | − | 0.456964i | \(-0.151063\pi\) | |||||||
\(12\) | −1.04539 | + | 1.38100i | −0.301777 | + | 0.398661i | ||||
\(13\) | 0.0252260 | − | 0.175451i | 0.00699643 | − | 0.0486613i | −0.986024 | − | 0.166602i | \(-0.946720\pi\) |
0.993021 | + | 0.117941i | \(0.0376294\pi\) | |||||||
\(14\) | −3.13442 | + | 2.01437i | −0.837710 | + | 0.538364i | ||||
\(15\) | 2.15799 | + | 1.19339i | 0.557191 | + | 0.308132i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | 4.04561 | + | 4.66888i | 0.981204 | + | 1.13237i | 0.991194 | + | 0.132420i | \(0.0422748\pi\) |
−0.00998944 | + | 0.999950i | \(0.503180\pi\) | |||||||
\(18\) | −2.54098 | + | 1.59481i | −0.598915 | + | 0.375901i | ||||
\(19\) | −3.14485 | − | 2.72503i | −0.721478 | − | 0.625164i | 0.214705 | − | 0.976679i | \(-0.431121\pi\) |
−0.936182 | + | 0.351515i | \(0.885667\pi\) | |||||||
\(20\) | −1.36607 | + | 0.401114i | −0.305462 | + | 0.0896918i | ||||
\(21\) | −6.31321 | + | 1.33800i | −1.37766 | + | 0.291977i | ||||
\(22\) | 5.20826i | 1.11040i | ||||||||
\(23\) | 2.80913 | − | 3.88700i | 0.585744 | − | 0.810496i | ||||
\(24\) | 0.377228 | − | 1.69047i | 0.0770013 | − | 0.345066i | ||||
\(25\) | −1.23501 | − | 2.70430i | −0.247003 | − | 0.540860i | ||||
\(26\) | 0.0499385 | + | 0.170075i | 0.00979374 | + | 0.0333544i | ||||
\(27\) | −5.09449 | + | 1.02285i | −0.980434 | + | 0.196847i | ||||
\(28\) | 2.01437 | − | 3.13442i | 0.380681 | − | 0.592350i | ||||
\(29\) | −1.92187 | + | 1.66531i | −0.356882 | + | 0.309240i | −0.814786 | − | 0.579761i | \(-0.803146\pi\) |
0.457904 | + | 0.889002i | \(0.348600\pi\) | |||||||
\(30\) | −2.45873 | − | 0.189085i | −0.448901 | − | 0.0345221i | ||||
\(31\) | −2.86031 | − | 0.839864i | −0.513728 | − | 0.150844i | 0.0145856 | − | 0.999894i | \(-0.495357\pi\) |
−0.528313 | + | 0.849050i | \(0.677175\pi\) | |||||||
\(32\) | 0.540641 | + | 0.841254i | 0.0955727 | + | 0.148714i | ||||
\(33\) | −3.19770 | + | 8.43520i | −0.556649 | + | 1.46838i | ||||
\(34\) | −5.61954 | − | 2.56636i | −0.963743 | − | 0.440127i | ||||
\(35\) | −4.82533 | − | 2.20366i | −0.815630 | − | 0.372486i | ||||
\(36\) | 1.64885 | − | 2.50625i | 0.274808 | − | 0.417709i | ||||
\(37\) | 5.03596 | + | 7.83610i | 0.827906 | + | 1.28825i | 0.955074 | + | 0.296366i | \(0.0957748\pi\) |
−0.127168 | + | 0.991881i | \(0.540589\pi\) | |||||||
\(38\) | 3.99267 | + | 1.17235i | 0.647697 | + | 0.190181i | ||||
\(39\) | −0.0235410 | + | 0.306111i | −0.00376958 | + | 0.0490169i | ||||
\(40\) | 1.07599 | − | 0.932352i | 0.170129 | − | 0.147418i | ||||
\(41\) | −1.83979 | + | 2.86277i | −0.287327 | + | 0.447089i | −0.954672 | − | 0.297659i | \(-0.903794\pi\) |
0.667346 | + | 0.744748i | \(0.267430\pi\) | |||||||
\(42\) | 5.18687 | − | 3.83970i | 0.800352 | − | 0.592478i | ||||
\(43\) | −0.117381 | − | 0.399763i | −0.0179004 | − | 0.0609633i | 0.950058 | − | 0.312072i | \(-0.101023\pi\) |
−0.967959 | + | 0.251109i | \(0.919205\pi\) | |||||||
\(44\) | −2.16359 | − | 4.73760i | −0.326173 | − | 0.714220i | ||||
\(45\) | −3.86602 | − | 1.81582i | −0.576313 | − | 0.270687i | ||||
\(46\) | −0.940555 | + | 4.70270i | −0.138677 | + | 0.693375i | ||||
\(47\) | − | 0.926457i | − | 0.135138i | −0.997715 | − | 0.0675688i | \(-0.978476\pi\) | ||
0.997715 | − | 0.0675688i | \(-0.0215242\pi\) | |||||||
\(48\) | 0.359109 | + | 1.69441i | 0.0518330 | + | 0.244568i | ||||
\(49\) | 6.60353 | − | 1.93897i | 0.943361 | − | 0.276996i | ||||
\(50\) | 2.24682 | + | 1.94688i | 0.317748 | + | 0.275330i | ||||
\(51\) | −7.52564 | − | 7.60664i | −1.05380 | − | 1.06514i | ||||
\(52\) | −0.116077 | − | 0.133960i | −0.0160970 | − | 0.0185769i | ||||
\(53\) | −0.0855320 | − | 0.594888i | −0.0117487 | − | 0.0817141i | 0.983103 | − | 0.183051i | \(-0.0585972\pi\) |
−0.994852 | + | 0.101336i | \(0.967688\pi\) | |||||||
\(54\) | 4.20920 | − | 3.04674i | 0.572800 | − | 0.414609i | ||||
\(55\) | −6.23807 | + | 4.00896i | −0.841141 | + | 0.540569i | ||||
\(56\) | −0.530250 | + | 3.68797i | −0.0708577 | + | 0.492826i | ||||
\(57\) | 5.74667 | + | 4.35009i | 0.761165 | + | 0.576184i | ||||
\(58\) | 1.05640 | − | 2.31319i | 0.138712 | − | 0.303737i | ||||
\(59\) | 14.9640 | + | 2.15150i | 1.94815 | + | 0.280101i | 0.999359 | − | 0.0358128i | \(-0.0114020\pi\) |
0.948788 | + | 0.315914i | \(0.102311\pi\) | |||||||
\(60\) | 2.31509 | − | 0.849396i | 0.298877 | − | 0.109657i | ||||
\(61\) | 1.56365 | − | 5.32531i | 0.200205 | − | 0.681837i | −0.796782 | − | 0.604267i | \(-0.793466\pi\) |
0.996987 | − | 0.0775694i | \(-0.0247159\pi\) | |||||||
\(62\) | 2.95072 | − | 0.424250i | 0.374742 | − | 0.0538798i | ||||
\(63\) | 10.7580 | − | 3.03413i | 1.35538 | − | 0.382264i | ||||
\(64\) | −0.841254 | − | 0.540641i | −0.105157 | − | 0.0675801i | ||||
\(65\) | −0.165264 | + | 0.190725i | −0.0204985 | + | 0.0236565i | ||||
\(66\) | −0.595376 | − | 9.00130i | −0.0732857 | − | 1.10798i | ||||
\(67\) | 0.822269 | − | 0.375518i | 0.100456 | − | 0.0458768i | −0.364553 | − | 0.931183i | \(-0.618778\pi\) |
0.465009 | + | 0.885306i | \(0.346051\pi\) | |||||||
\(68\) | 6.17782 | 0.749170 | ||||||||
\(69\) | −4.41061 | + | 7.03893i | −0.530975 | + | 0.847388i | ||||
\(70\) | 5.30471 | 0.634034 | ||||||||
\(71\) | −8.13332 | + | 3.71436i | −0.965247 | + | 0.440814i | −0.834746 | − | 0.550635i | \(-0.814386\pi\) |
−0.130501 | + | 0.991448i | \(0.541658\pi\) | |||||||
\(72\) | −0.458709 | + | 2.96472i | −0.0540594 | + | 0.349396i | ||||
\(73\) | −7.53110 | + | 8.69136i | −0.881449 | + | 1.01725i | 0.118257 | + | 0.992983i | \(0.462269\pi\) |
−0.999706 | + | 0.0242633i | \(0.992276\pi\) | |||||||
\(74\) | −7.83610 | − | 5.03596i | −0.910928 | − | 0.585418i | ||||
\(75\) | 2.44358 | + | 4.53260i | 0.282160 | + | 0.523379i | ||||
\(76\) | −4.11887 | + | 0.592205i | −0.472467 | + | 0.0679305i | ||||
\(77\) | 5.46714 | − | 18.6194i | 0.623039 | − | 2.12188i | ||||
\(78\) | −0.105749 | − | 0.288227i | −0.0119737 | − | 0.0326353i | ||||
\(79\) | 3.47110 | + | 0.499068i | 0.390529 | + | 0.0561496i | 0.334783 | − | 0.942295i | \(-0.391337\pi\) |
0.0557462 | + | 0.998445i | \(0.482246\pi\) | |||||||
\(80\) | −0.591443 | + | 1.29508i | −0.0661254 | + | 0.144794i | ||||
\(81\) | 8.68774 | − | 2.35013i | 0.965305 | − | 0.261126i | ||||
\(82\) | 0.484294 | − | 3.36834i | 0.0534813 | − | 0.371971i | ||||
\(83\) | −12.4026 | + | 7.97068i | −1.36136 | + | 0.874896i | −0.998380 | − | 0.0568991i | \(-0.981879\pi\) |
−0.362985 | + | 0.931795i | \(0.618242\pi\) | |||||||
\(84\) | −3.12308 | + | 5.64742i | −0.340756 | + | 0.616184i | ||||
\(85\) | −1.25175 | − | 8.70608i | −0.135771 | − | 0.944307i | ||||
\(86\) | 0.272841 | + | 0.314875i | 0.0294212 | + | 0.0339539i | ||||
\(87\) | 3.13115 | − | 3.09781i | 0.335694 | − | 0.332120i | ||||
\(88\) | 3.93614 | + | 3.41068i | 0.419594 | + | 0.363580i | ||||
\(89\) | −2.47074 | + | 0.725476i | −0.261898 | + | 0.0769003i | −0.410046 | − | 0.912065i | \(-0.634487\pi\) |
0.148147 | + | 0.988965i | \(0.452669\pi\) | |||||||
\(90\) | 4.27098 | + | 0.0457245i | 0.450201 | + | 0.00481978i | ||||
\(91\) | − | 0.660433i | − | 0.0692322i | ||||||
\(92\) | −1.09801 | − | 4.66844i | −0.114476 | − | 0.486719i | ||||
\(93\) | 5.03941 | + | 1.12454i | 0.522563 | + | 0.116610i | ||||
\(94\) | 0.384864 | + | 0.842735i | 0.0396957 | + | 0.0869214i | ||||
\(95\) | 1.66913 | + | 5.68453i | 0.171249 | + | 0.583220i | ||||
\(96\) | −1.03054 | − | 1.39211i | −0.105179 | − | 0.142082i | ||||
\(97\) | −4.87143 | + | 7.58010i | −0.494619 | + | 0.769642i | −0.995387 | − | 0.0959391i | \(-0.969415\pi\) |
0.500768 | + | 0.865581i | \(0.333051\pi\) | |||||||
\(98\) | −5.20130 | + | 4.50695i | −0.525411 | + | 0.455271i | ||||
\(99\) | 4.56225 | − | 14.9439i | 0.458523 | − | 1.50192i | ||||
\(100\) | −2.85254 | − | 0.837580i | −0.285254 | − | 0.0837580i | ||||
\(101\) | −1.33671 | − | 2.07995i | −0.133007 | − | 0.206963i | 0.768361 | − | 0.640017i | \(-0.221073\pi\) |
−0.901368 | + | 0.433053i | \(0.857436\pi\) | |||||||
\(102\) | 10.0055 | + | 3.79298i | 0.990690 | + | 0.375561i | ||||
\(103\) | 11.1690 | + | 5.10071i | 1.10051 | + | 0.502588i | 0.881045 | − | 0.473032i | \(-0.156840\pi\) |
0.219468 | + | 0.975620i | \(0.429568\pi\) | |||||||
\(104\) | 0.161237 | + | 0.0736343i | 0.0158106 | + | 0.00722044i | ||||
\(105\) | 8.59141 | + | 3.25692i | 0.838436 | + | 0.317843i | ||||
\(106\) | 0.324928 | + | 0.505598i | 0.0315598 | + | 0.0491080i | ||||
\(107\) | −3.30948 | − | 0.971752i | −0.319940 | − | 0.0939428i | 0.117819 | − | 0.993035i | \(-0.462410\pi\) |
−0.437759 | + | 0.899092i | \(0.644228\pi\) | |||||||
\(108\) | −2.56316 | + | 4.51998i | −0.246640 | + | 0.434935i | ||||
\(109\) | −4.07200 | + | 3.52841i | −0.390027 | + | 0.337960i | −0.827697 | − | 0.561176i | \(-0.810349\pi\) |
0.437670 | + | 0.899136i | \(0.355804\pi\) | |||||||
\(110\) | 4.00896 | − | 6.23807i | 0.382240 | − | 0.594777i | ||||
\(111\) | −9.59929 | − | 12.9673i | −0.911124 | − | 1.23080i | ||||
\(112\) | −1.04971 | − | 3.57497i | −0.0991879 | − | 0.337803i | ||||
\(113\) | −5.92458 | − | 12.9730i | −0.557338 | − | 1.22040i | −0.953270 | − | 0.302120i | \(-0.902306\pi\) |
0.395932 | − | 0.918280i | \(-0.370422\pi\) | |||||||
\(114\) | −7.03445 | − | 1.56973i | −0.658836 | − | 0.147019i | ||||
\(115\) | −6.35652 | + | 2.49329i | −0.592749 | + | 0.232500i | ||||
\(116\) | 2.54300i | 0.236111i | ||||||||
\(117\) | 0.00569267 | − | 0.531734i | 0.000526288 | − | 0.0491588i | ||||
\(118\) | −14.5055 | + | 4.25920i | −1.33534 | + | 0.392091i | ||||
\(119\) | 17.3958 | + | 15.0735i | 1.59467 | + | 1.38179i | ||||
\(120\) | −1.75303 | + | 1.73436i | −0.160029 | + | 0.158325i | ||||
\(121\) | −10.5603 | − | 12.1872i | −0.960023 | − | 1.10793i | ||||
\(122\) | 0.789866 | + | 5.49364i | 0.0715111 | + | 0.497371i | ||||
\(123\) | 2.85240 | − | 5.15796i | 0.257193 | − | 0.465077i | ||||
\(124\) | −2.50783 | + | 1.61169i | −0.225210 | + | 0.144734i | ||||
\(125\) | −1.61548 | + | 11.2359i | −0.144493 | + | 1.00497i | ||||
\(126\) | −8.52541 | + | 7.22898i | −0.759504 | + | 0.644009i | ||||
\(127\) | −7.14589 | + | 15.6473i | −0.634095 | + | 1.38847i | 0.270716 | + | 0.962659i | \(0.412740\pi\) |
−0.904810 | + | 0.425815i | \(0.859988\pi\) | |||||||
\(128\) | 0.989821 | + | 0.142315i | 0.0874887 | + | 0.0125790i | ||||
\(129\) | 0.248565 | + | 0.677482i | 0.0218849 | + | 0.0596489i | ||||
\(130\) | 0.0710994 | − | 0.242142i | 0.00623583 | − | 0.0212373i | ||||
\(131\) | −8.06318 | + | 1.15931i | −0.704484 | + | 0.101289i | −0.485240 | − | 0.874381i | \(-0.661268\pi\) |
−0.219243 | + | 0.975670i | \(0.570359\pi\) | |||||||
\(132\) | 4.28085 | + | 7.94054i | 0.372600 | + | 0.691135i | ||||
\(133\) | −13.0431 | − | 8.38226i | −1.13098 | − | 0.726835i | ||||
\(134\) | −0.591967 | + | 0.683166i | −0.0511381 | + | 0.0590165i | ||||
\(135\) | 6.88912 | + | 2.69630i | 0.592921 | + | 0.232060i | ||||
\(136\) | −5.61954 | + | 2.56636i | −0.481871 | + | 0.220063i | ||||
\(137\) | −8.66200 | −0.740044 | −0.370022 | − | 0.929023i | \(-0.620650\pi\) | ||||
−0.370022 | + | 0.929023i | \(0.620650\pi\) | |||||||
\(138\) | 1.08795 | − | 8.23507i | 0.0926128 | − | 0.701016i | ||||
\(139\) | −7.72875 | −0.655544 | −0.327772 | − | 0.944757i | \(-0.606298\pi\) | ||||
−0.327772 | + | 0.944757i | \(0.606298\pi\) | |||||||
\(140\) | −4.82533 | + | 2.20366i | −0.407815 | + | 0.186243i | ||||
\(141\) | 0.105907 | + | 1.60117i | 0.00891896 | + | 0.134843i | ||||
\(142\) | 5.85532 | − | 6.75740i | 0.491368 | − | 0.567069i | ||||
\(143\) | −0.776636 | − | 0.499114i | −0.0649456 | − | 0.0417380i | ||||
\(144\) | −0.814334 | − | 2.88736i | −0.0678612 | − | 0.240614i | ||||
\(145\) | 3.58372 | − | 0.515261i | 0.297611 | − | 0.0427901i | ||||
\(146\) | 3.24001 | − | 11.0345i | 0.268145 | − | 0.913219i | ||||
\(147\) | −11.1911 | + | 4.10595i | −0.923023 | + | 0.338653i | ||||
\(148\) | 9.21998 | + | 1.32563i | 0.757878 | + | 0.108966i | ||||
\(149\) | −2.20569 | + | 4.82978i | −0.180697 | + | 0.395671i | −0.978206 | − | 0.207635i | \(-0.933423\pi\) |
0.797509 | + | 0.603307i | \(0.206151\pi\) | |||||||
\(150\) | −4.10567 | − | 3.10789i | −0.335226 | − | 0.253759i | ||||
\(151\) | 2.78222 | − | 19.3508i | 0.226414 | − | 1.57474i | −0.486620 | − | 0.873614i | \(-0.661770\pi\) |
0.713034 | − | 0.701130i | \(-0.247321\pi\) | |||||||
\(152\) | 3.50065 | − | 2.24973i | 0.283940 | − | 0.182477i | ||||
\(153\) | 13.8759 | + | 12.2861i | 1.12180 | + | 0.993270i | ||||
\(154\) | 2.76168 | + | 19.2079i | 0.222543 | + | 1.54782i | ||||
\(155\) | 2.77940 | + | 3.20760i | 0.223247 | + | 0.257641i | ||||
\(156\) | 0.215927 | + | 0.218251i | 0.0172880 | + | 0.0174741i | ||||
\(157\) | 7.81203 | + | 6.76917i | 0.623468 | + | 0.540238i | 0.908289 | − | 0.418342i | \(-0.137389\pi\) |
−0.284821 | + | 0.958581i | \(0.591934\pi\) | |||||||
\(158\) | −3.36474 | + | 0.987977i | −0.267684 | + | 0.0785992i | ||||
\(159\) | 0.215827 | + | 1.01835i | 0.0171162 | + | 0.0807606i | ||||
\(160\) | − | 1.42374i | − | 0.112557i | ||||||
\(161\) | 8.29891 | − | 15.8247i | 0.654046 | − | 1.24716i | ||||
\(162\) | −6.92637 | + | 5.74678i | −0.544187 | + | 0.451509i | ||||
\(163\) | 2.45650 | + | 5.37899i | 0.192408 | + | 0.421315i | 0.981107 | − | 0.193464i | \(-0.0619724\pi\) |
−0.788699 | + | 0.614779i | \(0.789245\pi\) | |||||||
\(164\) | 0.958729 | + | 3.26513i | 0.0748642 | + | 0.254964i | ||||
\(165\) | 10.3228 | − | 7.64169i | 0.803630 | − | 0.594905i | ||||
\(166\) | 7.97068 | − | 12.4026i | 0.618645 | − | 0.962630i | ||||
\(167\) | 2.85764 | − | 2.47616i | 0.221130 | − | 0.191611i | −0.537249 | − | 0.843423i | \(-0.680537\pi\) |
0.758380 | + | 0.651813i | \(0.225991\pi\) | |||||||
\(168\) | 0.494832 | − | 6.43444i | 0.0381771 | − | 0.496428i | ||||
\(169\) | 12.4433 | + | 3.65367i | 0.957174 | + | 0.281052i | ||||
\(170\) | 4.75526 | + | 7.39934i | 0.364712 | + | 0.567503i | ||||
\(171\) | −10.4291 | − | 6.86123i | −0.797533 | − | 0.524691i | ||||
\(172\) | −0.378989 | − | 0.173078i | −0.0288976 | − | 0.0131971i | ||||
\(173\) | 19.5306 | + | 8.91933i | 1.48488 | + | 0.678124i | 0.982456 | − | 0.186495i | \(-0.0597127\pi\) |
0.502429 | + | 0.864619i | \(0.332440\pi\) | |||||||
\(174\) | −1.56132 | + | 4.11859i | −0.118363 | + | 0.312230i | ||||
\(175\) | −5.98865 | − | 9.31853i | −0.452700 | − | 0.704414i | ||||
\(176\) | −4.99729 | − | 1.46734i | −0.376685 | − | 0.110605i | ||||
\(177\) | −26.1078 | − | 2.00779i | −1.96239 | − | 0.150915i | ||||
\(178\) | 1.94609 | − | 1.68630i | 0.145866 | − | 0.126394i | ||||
\(179\) | 8.96942 | − | 13.9567i | 0.670406 | − | 1.04317i | −0.324839 | − | 0.945769i | \(-0.605310\pi\) |
0.995245 | − | 0.0974027i | \(-0.0310535\pi\) | |||||||
\(180\) | −3.90401 | + | 1.73264i | −0.290988 | + | 0.129143i | ||||
\(181\) | 4.87903 | + | 16.6164i | 0.362655 | + | 1.23509i | 0.915674 | + | 0.401922i | \(0.131658\pi\) |
−0.553019 | + | 0.833169i | \(0.686524\pi\) | |||||||
\(182\) | 0.274354 | + | 0.600751i | 0.0203365 | + | 0.0445306i | ||||
\(183\) | −2.09367 | + | 9.38235i | −0.154768 | + | 0.693563i | ||||
\(184\) | 2.93813 | + | 3.79044i | 0.216602 | + | 0.279435i | ||||
\(185\) | − | 13.2618i | − | 0.975030i | ||||||
\(186\) | −5.05116 | + | 1.07053i | −0.370369 | + | 0.0784950i | ||||
\(187\) | 30.8723 | − | 9.06493i | 2.25761 | − | 0.662893i | ||||
\(188\) | −0.700169 | − | 0.606700i | −0.0510651 | − | 0.0442482i | ||||
\(189\) | −18.2460 | + | 6.47359i | −1.32720 | + | 0.470885i | ||||
\(190\) | −3.87973 | − | 4.47745i | −0.281465 | − | 0.324828i | ||||
\(191\) | 0.988482 | + | 6.87504i | 0.0715240 | + | 0.497461i | 0.993822 | + | 0.110982i | \(0.0353996\pi\) |
−0.922298 | + | 0.386479i | \(0.873691\pi\) | |||||||
\(192\) | 1.51572 | + | 0.838209i | 0.109388 | + | 0.0604925i | ||||
\(193\) | 18.3676 | − | 11.8041i | 1.32213 | − | 0.849678i | 0.326692 | − | 0.945131i | \(-0.394066\pi\) |
0.995434 | + | 0.0954525i | \(0.0304298\pi\) | |||||||
\(194\) | 1.28233 | − | 8.91877i | 0.0920656 | − | 0.640330i | ||||
\(195\) | 0.263819 | − | 0.348517i | 0.0188925 | − | 0.0249578i | ||||
\(196\) | 2.85901 | − | 6.26037i | 0.204215 | − | 0.447169i | ||||
\(197\) | 1.87474 | + | 0.269548i | 0.133570 | + | 0.0192045i | 0.208776 | − | 0.977964i | \(-0.433052\pi\) |
−0.0752055 | + | 0.997168i | \(0.523961\pi\) | |||||||
\(198\) | 2.05795 | + | 15.4887i | 0.146252 | + | 1.10073i | ||||
\(199\) | 3.07889 | − | 10.4857i | 0.218257 | − | 0.743314i | −0.775461 | − | 0.631396i | \(-0.782482\pi\) |
0.993717 | − | 0.111918i | \(-0.0356995\pi\) | |||||||
\(200\) | 2.94270 | − | 0.423097i | 0.208080 | − | 0.0299175i | ||||
\(201\) | −1.37818 | + | 0.742994i | −0.0972093 | + | 0.0524068i | ||||
\(202\) | 2.07995 | + | 1.33671i | 0.146345 | + | 0.0940503i | ||||
\(203\) | −6.20477 | + | 7.16069i | −0.435489 | + | 0.502582i | ||||
\(204\) | −10.6770 | + | 0.706210i | −0.747537 | + | 0.0494446i | ||||
\(205\) | 4.40713 | − | 2.01267i | 0.307807 | − | 0.140571i | ||||
\(206\) | −12.2786 | −0.855490 | ||||||||
\(207\) | 6.81810 | − | 12.6694i | 0.473890 | − | 0.880584i | ||||
\(208\) | −0.177255 | −0.0122904 | ||||||||
\(209\) | −19.7142 | + | 9.00319i | −1.36366 | + | 0.622764i | ||||
\(210\) | −9.16800 | + | 0.606402i | −0.632652 | + | 0.0418457i | ||||
\(211\) | −4.77496 | + | 5.51060i | −0.328722 | + | 0.379365i | −0.895920 | − | 0.444216i | \(-0.853482\pi\) |
0.567198 | + | 0.823582i | \(0.308028\pi\) | |||||||
\(212\) | −0.505598 | − | 0.324928i | −0.0347246 | − | 0.0223161i | ||||
\(213\) | 13.6320 | − | 7.34918i | 0.934049 | − | 0.503558i | ||||
\(214\) | 3.41409 | − | 0.490872i | 0.233383 | − | 0.0335553i | ||||
\(215\) | −0.167120 | + | 0.569159i | −0.0113975 | + | 0.0388163i | ||||
\(216\) | 0.453866 | − | 5.17629i | 0.0308817 | − | 0.352202i | ||||
\(217\) | −10.9941 | − | 1.58071i | −0.746328 | − | 0.107306i | ||||
\(218\) | 2.23827 | − | 4.90112i | 0.151595 | − | 0.331946i | ||||
\(219\) | 12.0223 | − | 15.8820i | 0.812390 | − | 1.07320i | ||||
\(220\) | −1.05529 | + | 7.33973i | −0.0711479 | + | 0.494845i | ||||
\(221\) | 0.921213 | − | 0.592027i | 0.0619675 | − | 0.0398241i | ||||
\(222\) | 14.1186 | + | 7.80774i | 0.947579 | + | 0.524021i | ||||
\(223\) | −1.23570 | − | 8.59451i | −0.0827489 | − | 0.575531i | −0.988442 | − | 0.151598i | \(-0.951558\pi\) |
0.905693 | − | 0.423933i | \(-0.139351\pi\) | |||||||
\(224\) | 2.43994 | + | 2.81585i | 0.163026 | + | 0.188142i | ||||
\(225\) | −4.74132 | − | 7.55424i | −0.316088 | − | 0.503616i | ||||
\(226\) | 10.7784 | + | 9.33952i | 0.716967 | + | 0.621256i | ||||
\(227\) | −20.7863 | + | 6.10342i | −1.37964 | + | 0.405098i | −0.885643 | − | 0.464367i | \(-0.846282\pi\) |
−0.493994 | + | 0.869465i | \(0.664464\pi\) | |||||||
\(228\) | 7.05085 | − | 1.49434i | 0.466954 | − | 0.0989648i | ||||
\(229\) | 9.76977i | 0.645604i | 0.946466 | + | 0.322802i | \(0.104625\pi\) | ||||
−0.946466 | + | 0.322802i | \(0.895375\pi\) | |||||||
\(230\) | 4.74635 | − | 4.90857i | 0.312965 | − | 0.323662i | ||||
\(231\) | −7.32027 | + | 32.8044i | −0.481638 | + | 2.15837i | ||||
\(232\) | −1.05640 | − | 2.31319i | −0.0693560 | − | 0.151868i | ||||
\(233\) | −2.24536 | − | 7.64698i | −0.147098 | − | 0.500971i | 0.852671 | − | 0.522448i | \(-0.174981\pi\) |
−0.999769 | + | 0.0214775i | \(0.993163\pi\) | |||||||
\(234\) | 0.215712 | + | 0.486047i | 0.0141015 | + | 0.0317739i | ||||
\(235\) | −0.713124 | + | 1.10964i | −0.0465191 | + | 0.0723851i | ||||
\(236\) | 11.4253 | − | 9.90010i | 0.743725 | − | 0.644442i | ||||
\(237\) | −6.05606 | − | 0.465733i | −0.393383 | − | 0.0302526i | ||||
\(238\) | −22.0855 | − | 6.48489i | −1.43159 | − | 0.420353i | ||||
\(239\) | 15.7022 | + | 24.4331i | 1.01569 | + | 1.58045i | 0.796382 | + | 0.604794i | \(0.206745\pi\) |
0.219311 | + | 0.975655i | \(0.429619\pi\) | |||||||
\(240\) | 0.874131 | − | 2.30586i | 0.0564249 | − | 0.148843i | ||||
\(241\) | −3.65934 | − | 1.67116i | −0.235719 | − | 0.107649i | 0.294054 | − | 0.955789i | \(-0.404995\pi\) |
−0.529773 | + | 0.848140i | \(0.677723\pi\) | |||||||
\(242\) | 14.6687 | + | 6.69896i | 0.942939 | + | 0.430626i | ||||
\(243\) | −14.7462 | + | 5.05480i | −0.945966 | + | 0.324266i | ||||
\(244\) | −3.00063 | − | 4.66907i | −0.192096 | − | 0.298907i | ||||
\(245\) | −9.40171 | − | 2.76059i | −0.600653 | − | 0.176368i | ||||
\(246\) | −0.451945 | + | 5.87677i | −0.0288150 | + | 0.374689i | ||||
\(247\) | −0.557439 | + | 0.483024i | −0.0354690 | + | 0.0307341i | ||||
\(248\) | 1.61169 | − | 2.50783i | 0.102342 | − | 0.159248i | ||||
\(249\) | 20.5240 | − | 15.1933i | 1.30065 | − | 0.962837i | ||||
\(250\) | −3.19807 | − | 10.8916i | −0.202264 | − | 0.688846i | ||||
\(251\) | −2.09183 | − | 4.58048i | −0.132035 | − | 0.289117i | 0.832054 | − | 0.554694i | \(-0.187165\pi\) |
−0.964090 | + | 0.265577i | \(0.914438\pi\) | |||||||
\(252\) | 4.75196 | − | 10.1173i | 0.299345 | − | 0.637330i | ||||
\(253\) | −12.3373 | − | 21.7184i | −0.775637 | − | 1.36542i | ||||
\(254\) | − | 17.2018i | − | 1.07934i | ||||||
\(255\) | 3.15858 | + | 14.9034i | 0.197798 | + | 0.933287i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −11.3840 | − | 9.86431i | −0.710116 | − | 0.615319i | 0.223032 | − | 0.974811i | \(-0.428404\pi\) |
−0.933148 | + | 0.359492i | \(0.882950\pi\) | |||||||
\(258\) | −0.507539 | − | 0.513002i | −0.0315980 | − | 0.0319381i | ||||
\(259\) | 22.7276 | + | 26.2290i | 1.41222 | + | 1.62979i | ||||
\(260\) | 0.0359153 | + | 0.249796i | 0.00222737 | + | 0.0154917i | ||||
\(261\) | −5.05736 | + | 5.71179i | −0.313043 | + | 0.353551i | ||||
\(262\) | 6.85293 | − | 4.40411i | 0.423376 | − | 0.272087i | ||||
\(263\) | −3.59455 | + | 25.0007i | −0.221650 | + | 1.54161i | 0.510149 | + | 0.860086i | \(0.329590\pi\) |
−0.731799 | + | 0.681521i | \(0.761319\pi\) | |||||||
\(264\) | −7.19262 | − | 5.44464i | −0.442675 | − | 0.335095i | ||||
\(265\) | −0.355461 | + | 0.778350i | −0.0218358 | + | 0.0478137i | ||||
\(266\) | 15.3465 | + | 2.20649i | 0.940954 | + | 0.135289i | ||||
\(267\) | 4.18719 | − | 1.53626i | 0.256252 | − | 0.0940177i | ||||
\(268\) | 0.254674 | − | 0.867341i | 0.0155567 | − | 0.0529813i | ||||
\(269\) | 13.5861 | − | 1.95339i | 0.828360 | − | 0.119100i | 0.284923 | − | 0.958550i | \(-0.408032\pi\) |
0.543437 | + | 0.839450i | \(0.317123\pi\) | |||||||
\(270\) | −7.38665 | + | 0.409207i | −0.449537 | + | 0.0249036i | ||||
\(271\) | 16.6069 | + | 10.6726i | 1.00880 | + | 0.648313i | 0.937081 | − | 0.349112i | \(-0.113517\pi\) |
0.0717144 | + | 0.997425i | \(0.477153\pi\) | |||||||
\(272\) | 4.04561 | − | 4.66888i | 0.245301 | − | 0.283093i | ||||
\(273\) | 0.0754966 | + | 1.14141i | 0.00456926 | + | 0.0690813i | ||||
\(274\) | 7.87923 | − | 3.59832i | 0.476002 | − | 0.217383i | ||||
\(275\) | −15.4840 | −0.933718 | ||||||||
\(276\) | 2.43133 | + | 7.94283i | 0.146349 | + | 0.478102i | ||||
\(277\) | 19.8811 | 1.19454 | 0.597270 | − | 0.802041i | \(-0.296252\pi\) | ||||
0.597270 | + | 0.802041i | \(0.296252\pi\) | |||||||
\(278\) | 7.03032 | − | 3.21064i | 0.421651 | − | 0.192561i | ||||
\(279\) | −8.83804 | − | 1.36744i | −0.529120 | − | 0.0818666i | ||||
\(280\) | 3.47385 | − | 4.00903i | 0.207602 | − | 0.239586i | ||||
\(281\) | 7.48487 | + | 4.81024i | 0.446510 | + | 0.286955i | 0.744510 | − | 0.667611i | \(-0.232683\pi\) |
−0.298000 | + | 0.954566i | \(0.596320\pi\) | |||||||
\(282\) | −0.761487 | − | 1.41248i | −0.0453459 | − | 0.0841120i | ||||
\(283\) | −21.9899 | + | 3.16167i | −1.30716 | + | 0.187942i | −0.760460 | − | 0.649385i | \(-0.775026\pi\) |
−0.546703 | + | 0.837327i | \(0.684117\pi\) | |||||||
\(284\) | −2.51906 | + | 8.57914i | −0.149479 | + | 0.509078i | ||||
\(285\) | −3.53453 | − | 9.63362i | −0.209368 | − | 0.570646i | ||||
\(286\) | 0.913792 | + | 0.131384i | 0.0540337 | + | 0.00776887i | ||||
\(287\) | −5.26710 | + | 11.5333i | −0.310907 | + | 0.680792i | ||||
\(288\) | 1.94020 | + | 2.28815i | 0.114327 | + | 0.134831i | ||||
\(289\) | −3.01215 | + | 20.9500i | −0.177185 | + | 1.23235i | ||||
\(290\) | −3.04582 | + | 1.95743i | −0.178856 | + | 0.114944i | ||||
\(291\) | 7.55266 | − | 13.6574i | 0.442745 | − | 0.800609i | ||||
\(292\) | 1.63667 | + | 11.3833i | 0.0957786 | + | 0.666155i | ||||
\(293\) | −8.70390 | − | 10.0448i | −0.508487 | − | 0.586825i | 0.442224 | − | 0.896905i | \(-0.354190\pi\) |
−0.950711 | + | 0.310079i | \(0.899644\pi\) | |||||||
\(294\) | 8.47407 | − | 8.38383i | 0.494218 | − | 0.488955i | ||||
\(295\) | −16.2667 | − | 14.0952i | −0.947084 | − | 0.820653i | ||||
\(296\) | −8.93748 | + | 2.62428i | −0.519480 | + | 0.152533i | ||||
\(297\) | −6.17652 | + | 26.3487i | −0.358398 | + | 1.52890i | ||||
\(298\) | − | 5.30960i | − | 0.307577i | ||||||
\(299\) | −0.611114 | − | 0.590917i | −0.0353416 | − | 0.0341736i | ||||
\(300\) | 5.02571 | + | 1.12148i | 0.290160 | + | 0.0647489i | ||||
\(301\) | −0.644872 | − | 1.41207i | −0.0371698 | − | 0.0813906i | ||||
\(302\) | 5.50780 | + | 18.7579i | 0.316939 | + | 1.07939i | ||||
\(303\) | 2.54796 | + | 3.44193i | 0.146377 | + | 0.197734i | ||||
\(304\) | −2.24973 | + | 3.50065i | −0.129031 | + | 0.200776i | ||||
\(305\) | −5.97190 | + | 5.17468i | −0.341950 | + | 0.296301i | ||||
\(306\) | −17.7258 | − | 5.41154i | −1.01332 | − | 0.309357i | ||||
\(307\) | −22.7446 | − | 6.67843i | −1.29811 | − | 0.381158i | −0.441561 | − | 0.897231i | \(-0.645575\pi\) |
−0.856544 | + | 0.516073i | \(0.827393\pi\) | |||||||
\(308\) | −10.4914 | − | 16.3249i | −0.597801 | − | 0.930197i | ||||
\(309\) | −19.8862 | − | 7.53866i | −1.13128 | − | 0.428859i | ||||
\(310\) | −3.86072 | − | 1.76313i | −0.219274 | − | 0.100139i | ||||
\(311\) | 11.0277 | + | 5.03616i | 0.625321 | + | 0.285575i | 0.702765 | − | 0.711422i | \(-0.251949\pi\) |
−0.0774437 | + | 0.996997i | \(0.524676\pi\) | |||||||
\(312\) | −0.287079 | − | 0.108829i | −0.0162526 | − | 0.00616121i | ||||
\(313\) | −15.0820 | − | 23.4680i | −0.852485 | − | 1.32649i | −0.943748 | − | 0.330666i | \(-0.892727\pi\) |
0.0912631 | − | 0.995827i | \(-0.470910\pi\) | |||||||
\(314\) | −9.91809 | − | 2.91221i | −0.559710 | − | 0.164346i | ||||
\(315\) | −15.2206 | − | 4.64674i | −0.857585 | − | 0.261814i | ||||
\(316\) | 2.65025 | − | 2.29646i | 0.149088 | − | 0.129186i | ||||
\(317\) | 3.14599 | − | 4.89525i | 0.176696 | − | 0.274945i | −0.741597 | − | 0.670846i | \(-0.765931\pi\) |
0.918293 | + | 0.395901i | \(0.129568\pi\) | |||||||
\(318\) | −0.619362 | − | 0.836668i | −0.0347321 | − | 0.0469180i | ||||
\(319\) | 3.73143 | + | 12.7081i | 0.208920 | + | 0.711516i | ||||
\(320\) | 0.591443 | + | 1.29508i | 0.0330627 | + | 0.0723972i | ||||
\(321\) | 5.83078 | + | 1.30113i | 0.325442 | + | 0.0726222i | ||||
\(322\) | −0.975134 | + | 17.8421i | −0.0543421 | + | 0.994304i | ||||
\(323\) | − | 25.7073i | − | 1.43039i | ||||||
\(324\) | 3.91315 | − | 8.10477i | 0.217397 | − | 0.450265i | ||||
\(325\) | −0.505626 | + | 0.148465i | −0.0280471 | + | 0.00823537i | ||||
\(326\) | −4.46902 | − | 3.87243i | −0.247516 | − | 0.214474i | ||||
\(327\) | 6.63419 | − | 6.56354i | 0.366871 | − | 0.362965i | ||||
\(328\) | −2.22848 | − | 2.57180i | −0.123047 | − | 0.142004i | ||||
\(329\) | −0.491254 | − | 3.41675i | −0.0270837 | − | 0.188371i | ||||
\(330\) | −6.21549 | + | 11.2394i | −0.342152 | + | 0.618707i | ||||
\(331\) | −15.7671 | + | 10.1329i | −0.866640 | + | 0.556956i | −0.896723 | − | 0.442592i | \(-0.854059\pi\) |
0.0300834 | + | 0.999547i | \(0.490423\pi\) | |||||||
\(332\) | −2.09815 | + | 14.5930i | −0.115151 | + | 0.800893i | ||||
\(333\) | 18.0725 | + | 21.3136i | 0.990369 | + | 1.16798i | ||||
\(334\) | −1.57076 | + | 3.43949i | −0.0859484 | + | 0.188201i | ||||
\(335\) | −1.27390 | − | 0.183159i | −0.0696007 | − | 0.0100071i | ||||
\(336\) | 2.22285 | + | 6.05854i | 0.121266 | + | 0.330520i | ||||
\(337\) | −1.87769 | + | 6.39484i | −0.102285 | + | 0.348349i | −0.994694 | − | 0.102877i | \(-0.967195\pi\) |
0.892410 | + | 0.451226i | \(0.149013\pi\) | |||||||
\(338\) | −12.8366 | + | 1.84562i | −0.698218 | + | 0.100389i | ||||
\(339\) | 11.7223 | + | 21.7437i | 0.636668 | + | 1.18096i | ||||
\(340\) | −7.39934 | − | 4.75526i | −0.401285 | − | 0.257890i | ||||
\(341\) | −10.1675 | + | 11.7339i | −0.550600 | + | 0.635426i | ||||
\(342\) | 12.3369 | + | 1.90879i | 0.667103 | + | 0.103216i | ||||
\(343\) | −0.398877 | + | 0.182161i | −0.0215373 | + | 0.00983577i | ||||
\(344\) | 0.416640 | 0.0224637 | ||||||||
\(345\) | 10.7008 | − | 5.03573i | 0.576111 | − | 0.271114i | ||||
\(346\) | −21.4709 | −1.15428 | ||||||||
\(347\) | 7.72113 | − | 3.52612i | 0.414492 | − | 0.189292i | −0.197244 | − | 0.980355i | \(-0.563199\pi\) |
0.611735 | + | 0.791062i | \(0.290472\pi\) | |||||||
\(348\) | −0.290700 | − | 4.39500i | −0.0155831 | − | 0.235597i | ||||
\(349\) | 5.73202 | − | 6.61510i | 0.306828 | − | 0.354098i | −0.581304 | − | 0.813686i | \(-0.697457\pi\) |
0.888132 | + | 0.459588i | \(0.152003\pi\) | |||||||
\(350\) | 9.31853 | + | 5.98865i | 0.498096 | + | 0.320107i | ||||
\(351\) | 0.0509460 | + | 0.919633i | 0.00271930 | + | 0.0490864i | ||||
\(352\) | 5.15525 | − | 0.741212i | 0.274776 | − | 0.0395068i | ||||
\(353\) | 7.14421 | − | 24.3310i | 0.380248 | − | 1.29501i | −0.517948 | − | 0.855412i | \(-0.673304\pi\) |
0.898196 | − | 0.439594i | \(-0.144878\pi\) | |||||||
\(354\) | 24.5826 | − | 9.01924i | 1.30655 | − | 0.479367i | ||||
\(355\) | 12.6006 | + | 1.81169i | 0.668768 | + | 0.0961543i | ||||
\(356\) | −1.06971 | + | 2.34235i | −0.0566948 | + | 0.124144i | ||||
\(357\) | −31.7878 | − | 24.0626i | −1.68239 | − | 1.27353i | ||||
\(358\) | −2.36105 | + | 16.4215i | −0.124786 | + | 0.867902i | ||||
\(359\) | 6.91139 | − | 4.44168i | 0.364769 | − | 0.234423i | −0.345398 | − | 0.938456i | \(-0.612256\pi\) |
0.710167 | + | 0.704034i | \(0.248620\pi\) | |||||||
\(360\) | 2.83145 | − | 3.19785i | 0.149231 | − | 0.168541i | ||||
\(361\) | −0.239682 | − | 1.66703i | −0.0126148 | − | 0.0877382i | ||||
\(362\) | −11.3408 | − | 13.0880i | −0.596061 | − | 0.687891i | ||||
\(363\) | 19.6442 | + | 19.8556i | 1.03105 | + | 1.04215i | ||||
\(364\) | −0.499122 | − | 0.432492i | −0.0261611 | − | 0.0226687i | ||||
\(365\) | 15.7102 | − | 4.61294i | 0.822311 | − | 0.241452i | ||||
\(366\) | −1.99311 | − | 9.40423i | −0.104181 | − | 0.491567i | ||||
\(367\) | − | 7.70363i | − | 0.402126i | −0.979578 | − | 0.201063i | \(-0.935560\pi\) | ||
0.979578 | − | 0.201063i | \(-0.0644396\pi\) | |||||||
\(368\) | −4.24722 | − | 2.22736i | −0.221402 | − | 0.116109i | ||||
\(369\) | −4.34011 | + | 9.24043i | −0.225937 | + | 0.481038i | ||||
\(370\) | 5.50917 | + | 12.0634i | 0.286408 | + | 0.627146i | ||||
\(371\) | −0.630879 | − | 2.14858i | −0.0327536 | − | 0.111549i | ||||
\(372\) | 4.14999 | − | 3.07212i | 0.215167 | − | 0.159282i | ||||
\(373\) | −7.68769 | + | 11.9623i | −0.398054 | + | 0.619384i | −0.981202 | − | 0.192982i | \(-0.938184\pi\) |
0.583149 | + | 0.812365i | \(0.301820\pi\) | |||||||
\(374\) | −24.3167 | + | 21.0706i | −1.25739 | + | 1.08953i | ||||
\(375\) | 1.50757 | − | 19.6034i | 0.0778506 | − | 1.01231i | ||||
\(376\) | 0.888929 | + | 0.261013i | 0.0458430 | + | 0.0134607i | ||||
\(377\) | 0.243698 | + | 0.379202i | 0.0125511 | + | 0.0195299i | ||||
\(378\) | 13.9079 | − | 13.4682i | 0.715344 | − | 0.692731i | ||||
\(379\) | −17.1252 | − | 7.82084i | −0.879665 | − | 0.401729i | −0.0762074 | − | 0.997092i | \(-0.524281\pi\) |
−0.803457 | + | 0.595363i | \(0.797008\pi\) | |||||||
\(380\) | 5.38913 | + | 2.46113i | 0.276456 | + | 0.126253i | ||||
\(381\) | 10.5613 | − | 27.8597i | 0.541074 | − | 1.42730i | ||||
\(382\) | −3.75515 | − | 5.84313i | −0.192130 | − | 0.298960i | ||||
\(383\) | −19.9933 | − | 5.87055i | −1.02161 | − | 0.299971i | −0.272313 | − | 0.962209i | \(-0.587789\pi\) |
−0.749294 | + | 0.662238i | \(0.769607\pi\) | |||||||
\(384\) | −1.72695 | − | 0.132809i | −0.0881281 | − | 0.00677737i | ||||
\(385\) | −20.8801 | + | 18.0927i | −1.06415 | + | 0.922089i | ||||
\(386\) | −11.8041 | + | 18.3676i | −0.600813 | + | 0.934884i | ||||
\(387\) | −0.507034 | − | 1.14246i | −0.0257740 | − | 0.0580745i | ||||
\(388\) | 2.53855 | + | 8.64549i | 0.128875 | + | 0.438908i | ||||
\(389\) | 4.41133 | + | 9.65948i | 0.223664 | + | 0.489755i | 0.987883 | − | 0.155202i | \(-0.0496027\pi\) |
−0.764219 | + | 0.644957i | \(0.776875\pi\) | |||||||
\(390\) | −0.0951991 | + | 0.426616i | −0.00482059 | + | 0.0216025i | ||||
\(391\) | 29.5126 | − | 2.60980i | 1.49252 | − | 0.131983i | ||||
\(392\) | 6.88231i | 0.347609i | ||||||||
\(393\) | 13.8029 | − | 2.92534i | 0.696263 | − | 0.147564i | ||||
\(394\) | −1.81730 | + | 0.533608i | −0.0915543 | + | 0.0268828i | ||||
\(395\) | −3.77328 | − | 3.26956i | −0.189854 | − | 0.164510i | ||||
\(396\) | −8.30619 | − | 13.2341i | −0.417402 | − | 0.665037i | ||||
\(397\) | −8.46553 | − | 9.76974i | −0.424873 | − | 0.490329i | 0.502443 | − | 0.864611i | \(-0.332435\pi\) |
−0.927315 | + | 0.374282i | \(0.877889\pi\) | |||||||
\(398\) | 1.55528 | + | 10.8172i | 0.0779589 | + | 0.542216i | ||||
\(399\) | 23.5002 | + | 12.9959i | 1.17648 | + | 0.650606i | ||||
\(400\) | −2.50102 | + | 1.60730i | −0.125051 | + | 0.0803652i | ||||
\(401\) | 0.00577400 | − | 0.0401590i | 0.000288340 | − | 0.00200545i | −0.989677 | − | 0.143317i | \(-0.954223\pi\) |
0.989965 | + | 0.141312i | \(0.0451321\pi\) | |||||||
\(402\) | 0.944985 | − | 1.24837i | 0.0471316 | − | 0.0622629i | ||||
\(403\) | −0.219509 | + | 0.480657i | −0.0109345 | + | 0.0239433i | ||||
\(404\) | −2.44728 | − | 0.351866i | −0.121757 | − | 0.0175060i | ||||
\(405\) | −12.2145 | − | 3.87242i | −0.606944 | − | 0.192422i | ||||
\(406\) | 2.66940 | − | 9.09114i | 0.132480 | − | 0.451186i | ||||
\(407\) | 48.0200 | − | 6.90424i | 2.38027 | − | 0.342230i | ||||
\(408\) | 9.41873 | − | 5.07776i | 0.466297 | − | 0.251387i | ||||
\(409\) | 8.41485 | + | 5.40790i | 0.416088 | + | 0.267403i | 0.731891 | − | 0.681421i | \(-0.238638\pi\) |
−0.315804 | + | 0.948824i | \(0.602274\pi\) | |||||||
\(410\) | −3.17277 | + | 3.66157i | −0.156692 | + | 0.180832i | ||||
\(411\) | 14.9703 | − | 0.990186i | 0.738431 | − | 0.0488423i | ||||
\(412\) | 11.1690 | − | 5.10071i | 0.550257 | − | 0.251294i | ||||
\(413\) | 56.3276 | 2.77170 | ||||||||
\(414\) | −0.938901 | + | 14.3568i | −0.0461445 | + | 0.705600i | ||||
\(415\) | 20.9902 | 1.03037 | ||||||||
\(416\) | 0.161237 | − | 0.0736343i | 0.00790528 | − | 0.00361022i | ||||
\(417\) | 13.3574 | − | 0.883503i | 0.654115 | − | 0.0432653i | ||||
\(418\) | 14.1926 | − | 16.3792i | 0.694185 | − | 0.801132i | ||||
\(419\) | 7.61634 | + | 4.89473i | 0.372083 | + | 0.239123i | 0.713296 | − | 0.700863i | \(-0.247202\pi\) |
−0.341213 | + | 0.939986i | \(0.610838\pi\) | |||||||
\(420\) | 8.08759 | − | 4.36013i | 0.394634 | − | 0.212752i | ||||
\(421\) | 9.75720 | − | 1.40287i | 0.475537 | − | 0.0683719i | 0.0996206 | − | 0.995025i | \(-0.468237\pi\) |
0.375916 | + | 0.926654i | \(0.377328\pi\) | |||||||
\(422\) | 2.05427 | − | 6.99621i | 0.100000 | − | 0.340570i | ||||
\(423\) | −0.366072 | − | 2.75516i | −0.0177990 | − | 0.133960i | ||||
\(424\) | 0.594888 | + | 0.0855320i | 0.0288903 | + | 0.00415380i | ||||
\(425\) | 7.62968 | − | 16.7067i | 0.370094 | − | 0.810393i | ||||
\(426\) | −9.34714 | + | 12.3480i | −0.452870 | + | 0.598262i | ||||
\(427\) | 2.94296 | − | 20.4687i | 0.142420 | − | 0.990552i | ||||
\(428\) | −2.90165 | + | 1.86478i | −0.140257 | + | 0.0901375i | ||||
\(429\) | 1.39930 | + | 0.773825i | 0.0675586 | + | 0.0373606i | ||||
\(430\) | −0.0844193 | − | 0.587149i | −0.00407106 | − | 0.0283148i | ||||
\(431\) | −21.0639 | − | 24.3090i | −1.01461 | − | 1.17093i | −0.985209 | − | 0.171358i | \(-0.945185\pi\) |
−0.0294037 | − | 0.999568i | \(-0.509361\pi\) | |||||||
\(432\) | 1.73746 | + | 4.89706i | 0.0835935 | + | 0.235610i | ||||
\(433\) | 5.12637 | + | 4.44203i | 0.246358 | + | 0.213470i | 0.769283 | − | 0.638908i | \(-0.220614\pi\) |
−0.522925 | + | 0.852379i | \(0.675159\pi\) | |||||||
\(434\) | 10.6572 | − | 3.12925i | 0.511564 | − | 0.150209i | ||||
\(435\) | −6.13474 | + | 1.30018i | −0.294138 | + | 0.0623389i | ||||
\(436\) | 5.38803i | 0.258040i | ||||||||
\(437\) | −19.4265 | + | 4.56908i | −0.929294 | + | 0.218569i | ||||
\(438\) | −4.33824 | + | 19.4410i | −0.207289 | + | 0.928925i | ||||
\(439\) | −11.4480 | − | 25.0676i | −0.546382 | − | 1.19641i | −0.958451 | − | 0.285257i | \(-0.907921\pi\) |
0.412069 | − | 0.911153i | \(-0.364806\pi\) | |||||||
\(440\) | −2.08911 | − | 7.11484i | −0.0995942 | − | 0.339187i | ||||
\(441\) | 18.8718 | − | 8.37550i | 0.898659 | − | 0.398833i | ||||
\(442\) | −0.592027 | + | 0.921213i | −0.0281599 | + | 0.0438176i | ||||
\(443\) | 2.89251 | − | 2.50637i | 0.137427 | − | 0.119081i | −0.583435 | − | 0.812160i | \(-0.698292\pi\) |
0.720862 | + | 0.693079i | \(0.243746\pi\) | |||||||
\(444\) | −16.0862 | − | 1.23709i | −0.763417 | − | 0.0587095i | ||||
\(445\) | 3.51770 | + | 1.03289i | 0.166755 | + | 0.0489636i | ||||
\(446\) | 4.69433 | + | 7.30451i | 0.222283 | + | 0.345879i | ||||
\(447\) | 3.25992 | − | 8.59933i | 0.154189 | − | 0.406734i | ||||
\(448\) | −3.38920 | − | 1.54779i | −0.160124 | − | 0.0731264i | ||||
\(449\) | −16.9525 | − | 7.74195i | −0.800038 | − | 0.365365i | −0.0269281 | − | 0.999637i | \(-0.508573\pi\) |
−0.773110 | + | 0.634272i | \(0.781300\pi\) | |||||||
\(450\) | 7.45100 | + | 4.90196i | 0.351243 | + | 0.231081i | ||||
\(451\) | 9.58209 | + | 14.9100i | 0.451203 | + | 0.702085i | ||||
\(452\) | −13.6841 | − | 4.01803i | −0.643648 | − | 0.188992i | ||||
\(453\) | −2.59638 | + | 33.7615i | −0.121989 | + | 1.58625i | ||||
\(454\) | 16.3725 | − | 14.1868i | 0.768398 | − | 0.665820i | ||||
\(455\) | −0.508357 | + | 0.791019i | −0.0238321 | + | 0.0370835i | ||||
\(456\) | −5.79291 | + | 4.28832i | −0.271278 | + | 0.200819i | ||||
\(457\) | 7.02484 | + | 23.9244i | 0.328608 | + | 1.11914i | 0.943733 | + | 0.330707i | \(0.107287\pi\) |
−0.615125 | + | 0.788429i | \(0.710895\pi\) | |||||||
\(458\) | −4.05851 | − | 8.88689i | −0.189642 | − | 0.415257i | ||||
\(459\) | −25.3859 | − | 19.6475i | −1.18491 | − | 0.917067i | ||||
\(460\) | −2.27833 | + | 6.43670i | −0.106228 | + | 0.300113i | ||||
\(461\) | 11.0295i | 0.513693i | 0.966452 | + | 0.256847i | \(0.0826835\pi\) | ||||
−0.966452 | + | 0.256847i | \(0.917317\pi\) | |||||||
\(462\) | −6.96867 | − | 32.8809i | −0.324212 | − | 1.52976i | ||||
\(463\) | −28.1962 | + | 8.27914i | −1.31039 | + | 0.384764i | −0.861014 | − | 0.508581i | \(-0.830170\pi\) |
−0.449372 | + | 0.893345i | \(0.648352\pi\) | |||||||
\(464\) | 1.92187 | + | 1.66531i | 0.0892205 | + | 0.0773100i | ||||
\(465\) | −5.17025 | − | 5.22589i | −0.239764 | − | 0.242345i | ||||
\(466\) | 5.21912 | + | 6.02319i | 0.241771 | + | 0.279019i | ||||
\(467\) | 3.33349 | + | 23.1849i | 0.154255 | + | 1.07287i | 0.908984 | + | 0.416832i | \(0.136860\pi\) |
−0.754728 | + | 0.656038i | \(0.772231\pi\) | |||||||
\(468\) | −0.398130 | − | 0.352514i | −0.0184036 | − | 0.0162950i | ||||
\(469\) | 2.83339 | − | 1.82091i | 0.130834 | − | 0.0840817i | ||||
\(470\) | 0.187718 | − | 1.30561i | 0.00865879 | − | 0.0602232i | ||||
\(471\) | −14.2751 | − | 10.8060i | −0.657764 | − | 0.497912i | ||||
\(472\) | −6.28019 | + | 13.7517i | −0.289069 | + | 0.632973i | ||||
\(473\) | −2.14788 | − | 0.308819i | −0.0987597 | − | 0.0141995i | ||||
\(474\) | 5.70225 | − | 2.09213i | 0.261913 | − | 0.0960948i | ||||
\(475\) | −3.48536 | + | 11.8701i | −0.159919 | + | 0.544636i | ||||
\(476\) | 22.7836 | − | 3.27579i | 1.04429 | − | 0.150146i | ||||
\(477\) | −0.489419 | − | 1.73532i | −0.0224090 | − | 0.0794548i | ||||
\(478\) | −24.4331 | − | 15.7022i | −1.11755 | − | 0.718203i | ||||
\(479\) | 0.272929 | − | 0.314976i | 0.0124704 | − | 0.0143916i | −0.749480 | − | 0.662027i | \(-0.769696\pi\) |
0.761951 | + | 0.647635i | \(0.224242\pi\) | |||||||
\(480\) | 0.162753 | + | 2.46061i | 0.00742863 | + | 0.112311i | ||||
\(481\) | 1.50189 | − | 0.685888i | 0.0684801 | − | 0.0312738i | ||||
\(482\) | 4.02288 | 0.183237 | ||||||||
\(483\) | −12.5338 | + | 28.2981i | −0.570308 | + | 1.28761i | ||||
\(484\) | −16.1260 | −0.732998 | ||||||||
\(485\) | 11.6693 | − | 5.32919i | 0.529875 | − | 0.241986i | ||||
\(486\) | 11.3137 | − | 10.7238i | 0.513201 | − | 0.486441i | ||||
\(487\) | −15.6934 | + | 18.1112i | −0.711136 | + | 0.820695i | −0.990212 | − | 0.139575i | \(-0.955427\pi\) |
0.279076 | + | 0.960269i | \(0.409972\pi\) | |||||||
\(488\) | 4.66907 | + | 3.00063i | 0.211359 | + | 0.135832i | ||||
\(489\) | −4.86040 | − | 9.01555i | −0.219795 | − | 0.407697i | ||||
\(490\) | 9.69889 | − | 1.39449i | 0.438151 | − | 0.0629966i | ||||
\(491\) | −3.67197 | + | 12.5056i | −0.165714 | + | 0.564370i | 0.834203 | + | 0.551458i | \(0.185928\pi\) |
−0.999917 | + | 0.0129118i | \(0.995890\pi\) | |||||||
\(492\) | −2.03020 | − | 5.53345i | −0.0915283 | − | 0.249467i | ||||
\(493\) | −15.5503 | − | 2.23579i | −0.700349 | − | 0.100695i | ||||
\(494\) | 0.306409 | − | 0.670943i | 0.0137860 | − | 0.0301871i | ||||
\(495\) | −16.9671 | + | 14.3870i | −0.762615 | + | 0.646646i | ||||
\(496\) | −0.424250 | + | 2.95072i | −0.0190494 | + | 0.132491i | ||||
\(497\) | −28.0259 | + | 18.0112i | −1.25713 | + | 0.807911i | ||||
\(498\) | −12.3577 | + | 22.3463i | −0.553763 | + | 1.00136i | ||||
\(499\) | −6.31900 | − | 43.9496i | −0.282877 | − | 1.96746i | −0.251104 | − | 0.967960i | \(-0.580794\pi\) |
−0.0317731 | − | 0.999495i | \(-0.510115\pi\) | |||||||
\(500\) | 7.43361 | + | 8.57884i | 0.332441 | + | 0.383657i | ||||
\(501\) | −4.65572 | + | 4.60614i | −0.208002 | + | 0.205787i | ||||
\(502\) | 3.80560 | + | 3.29757i | 0.169852 | + | 0.147178i | ||||
\(503\) | 14.0755 | − | 4.13293i | 0.627595 | − | 0.184278i | 0.0475577 | − | 0.998868i | \(-0.484856\pi\) |
0.580037 | + | 0.814590i | \(0.303038\pi\) | |||||||
\(504\) | −0.119660 | + | 11.1771i | −0.00533008 | + | 0.497865i | ||||
\(505\) | 3.52012i | 0.156643i | ||||||||
\(506\) | 20.2445 | + | 14.6307i | 0.899978 | + | 0.650413i | ||||
\(507\) | −21.9230 | − | 4.89211i | −0.973636 | − | 0.217266i | ||||
\(508\) | 7.14589 | + | 15.6473i | 0.317047 | + | 0.694237i | ||||
\(509\) | 2.01996 | + | 6.87934i | 0.0895331 | + | 0.304922i | 0.992069 | − | 0.125692i | \(-0.0401152\pi\) |
−0.902536 | + | 0.430614i | \(0.858297\pi\) | |||||||
\(510\) | −9.06425 | − | 12.2445i | −0.401372 | − | 0.542195i | ||||
\(511\) | −23.1659 | + | 36.0469i | −1.02480 | + | 1.59462i | ||||
\(512\) | 0.755750 | − | 0.654861i | 0.0333997 | − | 0.0289410i | ||||
\(513\) | 18.8087 | + | 10.6659i | 0.830423 | + | 0.470911i | ||||
\(514\) | 14.4531 | + | 4.24380i | 0.637497 | + | 0.187186i | ||||
\(515\) | −9.45123 | − | 14.7064i | −0.416471 | − | 0.648041i | ||||
\(516\) | 0.674782 | + | 0.255803i | 0.0297056 | + | 0.0112611i | ||||
\(517\) | −4.38918 | − | 2.00447i | −0.193036 | − | 0.0881565i | ||||
\(518\) | −31.5696 | − | 14.4174i | −1.38709 | − | 0.633463i | ||||
\(519\) | −34.7739 | − | 13.1824i | −1.52640 | − | 0.578645i | ||||
\(520\) | −0.136439 | − | 0.212303i | −0.00598324 | − | 0.00931010i | ||||
\(521\) | −6.47921 | − | 1.90247i | −0.283860 | − | 0.0833487i | 0.136703 | − | 0.990612i | \(-0.456349\pi\) |
−0.420563 | + | 0.907263i | \(0.638167\pi\) | |||||||
\(522\) | 2.22757 | − | 7.29654i | 0.0974983 | − | 0.319361i | ||||
\(523\) | 13.3559 | − | 11.5730i | 0.584013 | − | 0.506051i | −0.311997 | − | 0.950083i | \(-0.600998\pi\) |
0.896011 | + | 0.444032i | \(0.146453\pi\) | |||||||
\(524\) | −4.40411 | + | 6.85293i | −0.192395 | + | 0.299372i | ||||
\(525\) | 11.4153 | + | 15.4204i | 0.498203 | + | 0.673001i | ||||
\(526\) | −7.11593 | − | 24.2346i | −0.310269 | − | 1.05668i | ||||
\(527\) | −7.65049 | − | 16.7522i | −0.333260 | − | 0.729738i | ||||
\(528\) | 8.80442 | + | 1.96470i | 0.383163 | + | 0.0855026i | ||||
\(529\) | −7.21758 | − | 21.8382i | −0.313808 | − | 0.949486i | ||||
\(530\) | − | 0.855676i | − | 0.0371682i | ||||||
\(531\) | 45.3510 | + | 0.485522i | 1.96807 | + | 0.0210699i | ||||
\(532\) | −14.8763 | + | 4.36807i | −0.644969 | + | 0.189380i | ||||
\(533\) | 0.455864 | + | 0.395008i | 0.0197456 | + | 0.0171097i | ||||
\(534\) | −3.17062 | + | 3.13685i | −0.137206 | + | 0.135745i | ||||
\(535\) | 3.21587 | + | 3.71131i | 0.139034 | + | 0.160454i | ||||
\(536\) | 0.128647 | + | 0.894757i | 0.00555669 | + | 0.0386476i | ||||
\(537\) | −13.9062 | + | 25.1463i | −0.600096 | + | 1.08514i | ||||
\(538\) | −11.5469 | + | 7.42074i | −0.497822 | + | 0.319931i | ||||
\(539\) | 5.10125 | − | 35.4800i | 0.219727 | − | 1.52823i | ||||
\(540\) | 6.54914 | − | 3.44075i | 0.281830 | − | 0.148066i | ||||
\(541\) | 5.79436 | − | 12.6879i | 0.249119 | − | 0.545494i | −0.743219 | − | 0.669048i | \(-0.766702\pi\) |
0.992338 | + | 0.123554i | \(0.0394292\pi\) | |||||||
\(542\) | −19.5397 | − | 2.80938i | −0.839302 | − | 0.120673i | ||||
\(543\) | −10.3318 | − | 28.1600i | −0.443379 | − | 1.20846i | ||||
\(544\) | −1.74049 | + | 5.92757i | −0.0746230 | + | 0.254142i | ||||
\(545\) | 7.59307 | − | 1.09172i | 0.325251 | − | 0.0467641i | ||||
\(546\) | −0.542833 | − | 1.00690i | −0.0232311 | − | 0.0430914i | ||||
\(547\) | 15.2624 | + | 9.80854i | 0.652573 | + | 0.419383i | 0.824605 | − | 0.565708i | \(-0.191397\pi\) |
−0.172033 | + | 0.985091i | \(0.555034\pi\) | |||||||
\(548\) | −5.67240 | + | 6.54630i | −0.242313 | + | 0.279644i | ||||
\(549\) | 2.54590 | − | 16.4546i | 0.108656 | − | 0.702266i | ||||
\(550\) | 14.0847 | − | 6.43227i | 0.600574 | − | 0.274273i | ||||
\(551\) | 10.5820 | 0.450808 | ||||||||
\(552\) | −5.51119 | − | 6.21504i | −0.234572 | − | 0.264530i | ||||
\(553\) | 13.0659 | 0.555620 | ||||||||
\(554\) | −18.0845 | + | 8.25890i | −0.768336 | + | 0.350887i | ||||
\(555\) | 1.51601 | + | 22.9201i | 0.0643511 | + | 0.972905i | ||||
\(556\) | −5.06126 | + | 5.84100i | −0.214645 | + | 0.247714i | ||||
\(557\) | 29.8095 | + | 19.1574i | 1.26307 | + | 0.811725i | 0.988701 | − | 0.149900i | \(-0.0478951\pi\) |
0.274368 | + | 0.961625i | \(0.411531\pi\) | |||||||
\(558\) | 8.60742 | − | 2.42759i | 0.364381 | − | 0.102768i | ||||
\(559\) | −0.0730997 | + | 0.0105102i | −0.00309179 | + | 0.000444532i | ||||
\(560\) | −1.49451 | + | 5.08983i | −0.0631546 | + | 0.215085i | ||||
\(561\) | −52.3196 | + | 19.1958i | −2.20893 | + | 0.810448i | ||||
\(562\) | −8.80672 | − | 1.26622i | −0.371489 | − | 0.0534121i | ||||
\(563\) | 10.8672 | − | 23.7958i | 0.457997 | − | 1.00287i | −0.529942 | − | 0.848034i | \(-0.677786\pi\) |
0.987939 | − | 0.154840i | \(-0.0494864\pi\) | |||||||
\(564\) | 1.27944 | + | 0.968505i | 0.0538741 | + | 0.0407814i | ||||
\(565\) | −2.88973 | + | 20.0985i | −0.121572 | + | 0.845550i | ||||
\(566\) | 18.6893 | − | 12.0109i | 0.785570 | − | 0.504855i | ||||
\(567\) | 30.7940 | − | 13.2739i | 1.29323 | − | 0.557452i | ||||
\(568\) | −1.27248 | − | 8.85032i | −0.0533922 | − | 0.371351i | ||||
\(569\) | 12.1768 | + | 14.0527i | 0.510477 | + | 0.589122i | 0.951221 | − | 0.308511i | \(-0.0998308\pi\) |
−0.440744 | + | 0.897633i | \(0.645285\pi\) | |||||||
\(570\) | 7.21707 | + | 7.29475i | 0.302290 | + | 0.305543i | ||||
\(571\) | 20.6801 | + | 17.9194i | 0.865436 | + | 0.749905i | 0.969610 | − | 0.244654i | \(-0.0786744\pi\) |
−0.104174 | + | 0.994559i | \(0.533220\pi\) | |||||||
\(572\) | −0.885793 | + | 0.260092i | −0.0370369 | + | 0.0108750i | ||||
\(573\) | −2.49428 | − | 11.7690i | −0.104200 | − | 0.491656i | ||||
\(574\) | − | 12.6791i | − | 0.529217i | ||||||
\(575\) | −13.9809 | − | 2.79623i | −0.583046 | − | 0.116611i | ||||
\(576\) | −2.71540 | − | 1.27539i | −0.113142 | − | 0.0531411i | ||||
\(577\) | −3.12636 | − | 6.84577i | −0.130152 | − | 0.284993i | 0.833325 | − | 0.552783i | \(-0.186434\pi\) |
−0.963477 | + | 0.267790i | \(0.913707\pi\) | |||||||
\(578\) | −5.96298 | − | 20.3081i | −0.248027 | − | 0.844704i | ||||
\(579\) | −30.3948 | + | 22.5004i | −1.26316 | + | 0.935085i | ||||
\(580\) | 1.95743 | − | 3.04582i | 0.0812777 | − | 0.126471i | ||||
\(581\) | −41.5141 | + | 35.9722i | −1.72229 | + | 1.49238i | ||||
\(582\) | −1.19667 | + | 15.5607i | −0.0496036 | + | 0.645010i | ||||
\(583\) | −3.00340 | − | 0.881877i | −0.124388 | − | 0.0365236i | ||||
\(584\) | −6.21754 | − | 9.67468i | −0.257284 | − | 0.400341i | ||||
\(585\) | −0.416111 | + | 0.632490i | −0.0172041 | + | 0.0261503i | ||||
\(586\) | 12.0901 | + | 5.52137i | 0.499438 | + | 0.228086i | ||||
\(587\) | −7.14131 | − | 3.26133i | −0.294753 | − | 0.134609i | 0.262550 | − | 0.964918i | \(-0.415437\pi\) |
−0.557303 | + | 0.830309i | \(0.688164\pi\) | |||||||
\(588\) | −4.22552 | + | 11.1465i | −0.174257 | + | 0.459672i | ||||
\(589\) | 6.70660 | + | 10.4357i | 0.276341 | + | 0.429994i | ||||
\(590\) | 20.6521 | + | 6.06399i | 0.850232 | + | 0.249651i | ||||
\(591\) | −3.27089 | − | 0.251543i | −0.134546 | − | 0.0103471i | ||||
\(592\) | 7.03965 | − | 6.09989i | 0.289328 | − | 0.250704i | ||||
\(593\) | −24.6982 | + | 38.4312i | −1.01424 | + | 1.57818i | −0.215495 | + | 0.976505i | \(0.569136\pi\) |
−0.798741 | + | 0.601676i | \(0.794500\pi\) | |||||||
\(594\) | −5.32726 | − | 26.5334i | −0.218580 | − | 1.08868i | ||||
\(595\) | −9.23281 | − | 31.4440i | −0.378508 | − | 1.28908i | ||||
\(596\) | 2.20569 | + | 4.82978i | 0.0903485 | + | 0.197836i | ||||
\(597\) | −4.12250 | + | 18.4742i | −0.168723 | + | 0.756099i | ||||
\(598\) | 0.801365 | + | 0.283651i | 0.0327702 | + | 0.0115994i | ||||
\(599\) | − | 46.7606i | − | 1.91059i | −0.295662 | − | 0.955293i | \(-0.595540\pi\) | ||
0.295662 | − | 0.955293i | \(-0.404460\pi\) | |||||||
\(600\) | −5.03743 | + | 1.06762i | −0.205652 | + | 0.0435853i | ||||
\(601\) | 20.8538 | − | 6.12322i | 0.850643 | − | 0.249771i | 0.172781 | − | 0.984960i | \(-0.444725\pi\) |
0.677862 | + | 0.735189i | \(0.262907\pi\) | |||||||
\(602\) | 1.17319 | + | 1.01658i | 0.0478158 | + | 0.0414326i | ||||
\(603\) | 2.29694 | − | 1.44164i | 0.0935386 | − | 0.0587082i | ||||
\(604\) | −12.8024 | − | 14.7747i | −0.520921 | − | 0.601175i | ||||
\(605\) | 3.26743 | + | 22.7255i | 0.132840 | + | 0.923923i | ||||
\(606\) | −3.74754 | − | 2.07243i | −0.152233 | − | 0.0841866i | ||||
\(607\) | 8.82162 | − | 5.66931i | 0.358058 | − | 0.230110i | −0.349227 | − | 0.937038i | \(-0.613556\pi\) |
0.707286 | + | 0.706928i | \(0.249919\pi\) | |||||||
\(608\) | 0.592205 | − | 4.11887i | 0.0240171 | − | 0.167042i | ||||
\(609\) | 9.90498 | − | 13.0849i | 0.401370 | − | 0.530228i | ||||
\(610\) | 3.28259 | − | 7.18787i | 0.132908 | − | 0.291028i | ||||
\(611\) | −0.162547 | − | 0.0233708i | −0.00657596 | − | 0.000945481i | ||||
\(612\) | 18.3720 | − | 2.44105i | 0.742644 | − | 0.0986735i | ||||
\(613\) | 0.494372 | − | 1.68368i | 0.0199675 | − | 0.0680030i | −0.948907 | − | 0.315557i | \(-0.897809\pi\) |
0.968874 | + | 0.247554i | \(0.0796268\pi\) | |||||||
\(614\) | 23.4636 | − | 3.37355i | 0.946913 | − | 0.136146i | ||||
\(615\) | −7.38665 | + | 3.98224i | −0.297858 | + | 0.160579i | ||||
\(616\) | 16.3249 | + | 10.4914i | 0.657749 | + | 0.422709i | ||||
\(617\) | 2.28628 | − | 2.63851i | 0.0920423 | − | 0.106222i | −0.707860 | − | 0.706353i | \(-0.750339\pi\) |
0.799902 | + | 0.600130i | \(0.204885\pi\) | |||||||
\(618\) | 21.2208 | − | 1.40361i | 0.853624 | − | 0.0564615i | ||||
\(619\) | −18.8744 | + | 8.61963i | −0.758625 | + | 0.346452i | −0.756887 | − | 0.653546i | \(-0.773280\pi\) |
−0.00173796 | + | 0.999998i | \(0.500553\pi\) | |||||||
\(620\) | 4.24427 | 0.170454 | ||||||||
\(621\) | −10.3353 | + | 22.6756i | −0.414739 | + | 0.909940i | ||||
\(622\) | −12.1232 | −0.486096 | ||||||||
\(623\) | −8.72735 | + | 3.98565i | −0.349654 | + | 0.159682i | ||||
\(624\) | 0.306345 | − | 0.0202627i | 0.0122636 | − | 0.000811156i | ||||
\(625\) | 0.849145 | − | 0.979966i | 0.0339658 | − | 0.0391986i | ||||
\(626\) | 23.4680 | + | 15.0820i | 0.937972 | + | 0.602798i | ||||
\(627\) | 33.0424 | − | 17.8136i | 1.31959 | − | 0.711406i | ||||
\(628\) | 10.2316 | − | 1.47108i | 0.408285 | − | 0.0587025i | ||||
\(629\) | −16.2123 | + | 55.2141i | −0.646427 | + | 2.20153i | ||||
\(630\) | 15.7755 | − | 2.09606i | 0.628511 | − | 0.0835089i | ||||
\(631\) | 31.7167 | + | 4.56018i | 1.26262 | + | 0.181538i | 0.740922 | − | 0.671591i | \(-0.234389\pi\) |
0.521701 | + | 0.853129i | \(0.325298\pi\) | |||||||
\(632\) | −1.45677 | + | 3.18989i | −0.0579473 | + | 0.126887i | ||||
\(633\) | 7.62251 | − | 10.0697i | 0.302967 | − | 0.400234i | ||||
\(634\) | −0.828130 | + | 5.75977i | −0.0328892 | + | 0.228750i | ||||
\(635\) | 20.6031 | − | 13.2408i | 0.817607 | − | 0.525444i | ||||
\(636\) | 0.910956 | + | 0.503768i | 0.0361217 | + | 0.0199757i | ||||
\(637\) | −0.173613 | − | 1.20751i | −0.00687880 | − | 0.0478431i | ||||
\(638\) | −8.67336 | − | 10.0096i | −0.343382 | − | 0.396283i | ||||
\(639\) | −22.7197 | + | 14.2597i | −0.898778 | + | 0.564106i | ||||
\(640\) | −1.07599 | − | 0.932352i | −0.0425323 | − | 0.0368544i | ||||
\(641\) | −33.4201 | + | 9.81303i | −1.32001 | + | 0.387591i | −0.864498 | − | 0.502636i | \(-0.832364\pi\) |
−0.455517 | + | 0.890227i | \(0.650545\pi\) | |||||||
\(642\) | −5.84437 | + | 1.23864i | −0.230659 | + | 0.0488852i | ||||
\(643\) | − | 26.7667i | − | 1.05557i | −0.849377 | − | 0.527787i | \(-0.823022\pi\) | ||
0.849377 | − | 0.527787i | \(-0.176978\pi\) | |||||||
\(644\) | −6.52488 | − | 16.6349i | −0.257116 | − | 0.655506i | ||||
\(645\) | 0.223767 | − | 1.00277i | 0.00881080 | − | 0.0394839i | ||||
\(646\) | 10.6792 | + | 23.3842i | 0.420168 | + | 0.920039i | ||||
\(647\) | −4.18004 | − | 14.2359i | −0.164334 | − | 0.559672i | −0.999946 | − | 0.0103516i | \(-0.996705\pi\) |
0.835612 | − | 0.549320i | \(-0.185113\pi\) | |||||||
\(648\) | −0.192683 | + | 8.99794i | −0.00756932 | + | 0.353472i | ||||
\(649\) | 42.5689 | − | 66.2385i | 1.67097 | − | 2.60009i | ||||
\(650\) | 0.398259 | − | 0.345093i | 0.0156210 | − | 0.0135357i | ||||
\(651\) | 19.1815 | + | 1.47513i | 0.751783 | + | 0.0578148i | ||||
\(652\) | 5.67383 | + | 1.66599i | 0.222204 | + | 0.0652451i | ||||
\(653\) | 14.9750 | + | 23.3015i | 0.586016 | + | 0.911858i | 0.999999 | + | 0.00157377i | \(0.000500946\pi\) |
−0.413983 | + | 0.910285i | \(0.635863\pi\) | |||||||
\(654\) | −3.30807 | + | 8.72635i | −0.129356 | + | 0.341227i | ||||
\(655\) | 10.5498 | + | 4.81795i | 0.412217 | + | 0.188253i | ||||
\(656\) | 3.09546 | + | 1.41365i | 0.120857 | + | 0.0551936i | ||||
\(657\) | −18.9623 | + | 28.8227i | −0.739788 | + | 1.12448i | ||||
\(658\) | 1.86623 | + | 2.90391i | 0.0727532 | + | 0.113206i | ||||
\(659\) | −13.7613 | − | 4.04069i | −0.536065 | − | 0.157403i | 0.00248404 | − | 0.999997i | \(-0.499209\pi\) |
−0.538549 | + | 0.842594i | \(0.681027\pi\) | |||||||
\(660\) | 0.984805 | − | 12.8057i | 0.0383335 | − | 0.498461i | ||||
\(661\) | −11.7371 | + | 10.1703i | −0.456521 | + | 0.395577i | −0.852538 | − | 0.522666i | \(-0.824938\pi\) |
0.396017 | + | 0.918243i | \(0.370392\pi\) | |||||||
\(662\) | 10.1329 | − | 15.7671i | 0.393827 | − | 0.612807i | ||||
\(663\) | −1.52443 | + | 1.12849i | −0.0592040 | + | 0.0438270i | ||||
\(664\) | −4.15359 | − | 14.1458i | −0.161191 | − | 0.548965i | ||||
\(665\) | 9.16992 | + | 20.0793i | 0.355594 | + | 0.778643i | ||||
\(666\) | −25.2934 | − | 11.8800i | −0.980098 | − | 0.460339i | ||||
\(667\) | 1.07428 | + | 12.1484i | 0.0415963 | + | 0.470387i | ||||
\(668\) | − | 3.78119i | − | 0.146299i | ||||||
\(669\) | 3.11811 | + | 14.7124i | 0.120553 | + | 0.568815i | ||||
\(670\) | 1.23487 | − | 0.362590i | 0.0477072 | − | 0.0140081i | ||||
\(671\) | −21.8461 | − | 18.9298i | −0.843359 | − | 0.730775i | ||||
\(672\) | −4.53878 | − | 4.58763i | −0.175087 | − | 0.176972i | ||||
\(673\) | 1.39266 | + | 1.60721i | 0.0536829 | + | 0.0619534i | 0.781956 | − | 0.623334i | \(-0.214222\pi\) |
−0.728273 | + | 0.685287i | \(0.759677\pi\) | |||||||
\(674\) | −0.948501 | − | 6.59697i | −0.0365349 | − | 0.254106i | ||||
\(675\) | 9.05785 | + | 12.5138i | 0.348637 | + | 0.481656i | ||||
\(676\) | 10.9099 | − | 7.01134i | 0.419610 | − | 0.269667i | ||||
\(677\) | 5.13499 | − | 35.7146i | 0.197354 | − | 1.37263i | −0.614570 | − | 0.788862i | \(-0.710671\pi\) |
0.811924 | − | 0.583763i | \(-0.198420\pi\) | |||||||
\(678\) | −19.6956 | − | 14.9091i | −0.756406 | − | 0.572582i | ||||
\(679\) | −13.9464 | + | 30.5383i | −0.535212 | + | 1.17195i | ||||
\(680\) | 8.70608 | + | 1.25175i | 0.333863 | + | 0.0480022i | ||||
\(681\) | 35.2268 | − | 12.9245i | 1.34989 | − | 0.495270i | ||||
\(682\) | 4.37423 | − | 14.8973i | 0.167498 | − | 0.570445i | ||||
\(683\) | −27.0120 | + | 3.88374i | −1.03359 | + | 0.148607i | −0.638170 | − | 0.769895i | \(-0.720308\pi\) |
−0.395415 | + | 0.918503i | \(0.629399\pi\) | |||||||
\(684\) | −12.0150 | + | 3.38863i | −0.459404 | + | 0.129568i | ||||
\(685\) | 10.3747 | + | 6.66742i | 0.396397 | + | 0.254749i | ||||
\(686\) | 0.287159 | − | 0.331399i | 0.0109638 | − | 0.0126529i | ||||
\(687\) | −1.11682 | − | 16.8848i | −0.0426093 | − | 0.644197i | ||||
\(688\) | −0.378989 | + | 0.173078i | −0.0144488 | + | 0.00659855i | ||||
\(689\) | −0.106531 | −0.00405851 | ||||||||
\(690\) | −7.64187 | + | 9.02593i | −0.290921 | + | 0.343611i | ||||
\(691\) | 7.06754 | 0.268862 | 0.134431 | − | 0.990923i | \(-0.457079\pi\) | ||||
0.134431 | + | 0.990923i | \(0.457079\pi\) | |||||||
\(692\) | 19.5306 | − | 8.91933i | 0.742442 | − | 0.339062i | ||||
\(693\) | 8.90145 | − | 57.5318i | 0.338138 | − | 2.18545i | ||||
\(694\) | −5.55858 | + | 6.41494i | −0.211001 | + | 0.243508i | ||||
\(695\) | 9.25693 | + | 5.94907i | 0.351135 | + | 0.225661i | ||||
\(696\) | 2.09018 | + | 3.87707i | 0.0792280 | + | 0.146960i | ||||
\(697\) | −20.8090 | + | 2.99188i | −0.788196 | + | 0.113325i | ||||
\(698\) | −2.46602 | + | 8.39848i | −0.0933401 | + | 0.317887i | ||||
\(699\) | 4.75475 | + | 12.9594i | 0.179841 | + | 0.490170i | ||||
\(700\) | −10.9642 | − | 1.57641i | −0.414408 | − | 0.0595829i | ||||
\(701\) | 14.3902 | − | 31.5101i | 0.543509 | − | 1.19012i | −0.416239 | − | 0.909255i | \(-0.636652\pi\) |
0.959748 | − | 0.280863i | \(-0.0906208\pi\) | |||||||
\(702\) | −0.428372 | − | 0.815364i | −0.0161678 | − | 0.0307739i | ||||
\(703\) | 5.51626 | − | 38.3665i | 0.208050 | − | 1.44702i | ||||
\(704\) | −4.38147 | + | 2.81580i | −0.165133 | + | 0.106124i | ||||
\(705\) | 1.10563 | − | 1.99929i | 0.0416403 | − | 0.0752975i | ||||
\(706\) | 3.60884 | + | 25.1000i | 0.135820 | + | 0.944652i | ||||
\(707\) | −6.03263 | − | 6.96203i | −0.226880 | − | 0.261834i | ||||
\(708\) | −18.6144 | + | 18.4162i | −0.699571 | + | 0.692122i | ||||
\(709\) | −16.8108 | − | 14.5667i | −0.631344 | − | 0.547063i | 0.279326 | − | 0.960196i | \(-0.409889\pi\) |
−0.910671 | + | 0.413133i | \(0.864434\pi\) | |||||||
\(710\) | −12.2145 | + | 3.58649i | −0.458401 | + | 0.134599i | ||||
\(711\) | 10.5198 | + | 0.112623i | 0.394522 | + | 0.00422370i | ||||
\(712\) | − | 2.57505i | − | 0.0965041i | ||||||
\(713\) | −11.2995 | + | 8.75876i | −0.423171 | + | 0.328018i | ||||
\(714\) | 38.9111 | + | 8.68300i | 1.45621 | + | 0.324953i | ||||
\(715\) | 0.546014 | + | 1.19560i | 0.0204198 | + | 0.0447130i | ||||
\(716\) | −4.67404 | − | 15.9183i | −0.174677 | − | 0.594896i | ||||
\(717\) | −29.9308 | − | 40.4322i | −1.11779 | − | 1.50997i | ||||
\(718\) | −4.44168 | + | 6.91139i | −0.165762 | + | 0.257931i | ||||
\(719\) | −3.63258 | + | 3.14765i | −0.135472 | + | 0.117387i | −0.719961 | − | 0.694014i | \(-0.755840\pi\) |
0.584489 | + | 0.811402i | \(0.301295\pi\) | |||||||
\(720\) | −1.24715 | + | 4.08509i | −0.0464784 | + | 0.152242i | ||||
\(721\) | 43.8956 | + | 12.8889i | 1.63476 | + | 0.480008i | ||||
\(722\) | 0.910530 | + | 1.41681i | 0.0338864 | + | 0.0527283i | ||||
\(723\) | 6.51538 | + | 2.46992i | 0.242310 | + | 0.0918572i | ||||
\(724\) | 15.7530 | + | 7.19413i | 0.585454 | + | 0.267368i | ||||
\(725\) | 6.87703 | + | 3.14064i | 0.255407 | + | 0.116640i | ||||
\(726\) | −26.1173 | − | 9.90082i | −0.969304 | − | 0.367454i | ||||
\(727\) | 16.0082 | + | 24.9093i | 0.593712 | + | 0.923833i | 0.999949 | + | 0.0100660i | \(0.00320416\pi\) |
−0.406238 | + | 0.913767i | \(0.633159\pi\) | |||||||
\(728\) | 0.633681 | + | 0.186066i | 0.0234858 | + | 0.00689605i | ||||
\(729\) | 24.9076 | − | 10.4218i | 0.922502 | − | 0.385992i | ||||
\(730\) | −12.3742 | + | 10.7223i | −0.457991 | + | 0.396852i | ||||
\(731\) | 1.39157 | − | 2.16532i | 0.0514690 | − | 0.0800873i | ||||
\(732\) | 5.71965 | + | 7.72642i | 0.211404 | + | 0.285577i | ||||
\(733\) | −1.67520 | − | 5.70521i | −0.0618749 | − | 0.210727i | 0.922753 | − | 0.385392i | \(-0.125934\pi\) |
−0.984628 | + | 0.174665i | \(0.944116\pi\) | |||||||
\(734\) | 3.20020 | + | 7.00747i | 0.118122 | + | 0.258650i | ||||
\(735\) | 16.5643 | + | 3.69631i | 0.610984 | + | 0.136341i | ||||
\(736\) | 4.78868 | + | 0.261718i | 0.176513 | + | 0.00964705i | ||||
\(737\) | − | 4.70805i | − | 0.173423i | ||||||
\(738\) | 0.109289 | − | 10.2083i | 0.00402299 | − | 0.375774i | ||||
\(739\) | −4.25778 | + | 1.25020i | −0.156625 | + | 0.0459893i | −0.359105 | − | 0.933297i | \(-0.616918\pi\) |
0.202480 | + | 0.979286i | \(0.435100\pi\) | |||||||
\(740\) | −10.0226 | − | 8.68466i | −0.368439 | − | 0.319255i | ||||
\(741\) | 0.908192 | − | 0.898521i | 0.0333633 | − | 0.0330080i | ||||
\(742\) | 1.46642 | + | 1.69234i | 0.0538339 | + | 0.0621277i | ||||
\(743\) | 4.49128 | + | 31.2376i | 0.164769 | + | 1.14600i | 0.889491 | + | 0.456953i | \(0.151059\pi\) |
−0.724721 | + | 0.689042i | \(0.758032\pi\) | |||||||
\(744\) | −2.49876 | + | 4.51846i | −0.0916089 | + | 0.165655i | ||||
\(745\) | 6.35945 | − | 4.08697i | 0.232992 | − | 0.149735i | ||||
\(746\) | 2.02366 | − | 14.0749i | 0.0740914 | − | 0.515317i | ||||
\(747\) | −33.7343 | + | 28.6044i | −1.23427 | + | 1.04658i | ||||
\(748\) | 13.3663 | − | 29.2680i | 0.488719 | − | 1.07014i | ||||
\(749\) | −12.7206 | − | 1.82894i | −0.464799 | − | 0.0668280i | ||||
\(750\) | 6.77220 | + | 18.4581i | 0.247286 | + | 0.673995i | ||||
\(751\) | −1.59683 | + | 5.43829i | −0.0582690 | + | 0.198446i | −0.983483 | − | 0.180999i | \(-0.942067\pi\) |
0.925214 | + | 0.379445i | \(0.123885\pi\) | |||||||
\(752\) | −0.917027 | + | 0.131849i | −0.0334405 | + | 0.00480802i | ||||
\(753\) | 4.13888 | + | 7.67720i | 0.150829 | + | 0.279773i | ||||
\(754\) | −0.379202 | − | 0.243698i | −0.0138097 | − | 0.00887498i | ||||
\(755\) | −18.2273 | + | 21.0354i | −0.663358 | + | 0.765556i | ||||
\(756\) | −7.05615 | + | 18.0287i | −0.256630 | + | 0.655697i | ||||
\(757\) | 20.8632 | − | 9.52792i | 0.758287 | − | 0.346298i | 0.00153402 | − | 0.999999i | \(-0.499512\pi\) |
0.756753 | + | 0.653701i | \(0.226784\pi\) | |||||||
\(758\) | 18.8266 | 0.683811 | ||||||||
\(759\) | 23.8049 | + | 36.1250i | 0.864062 | + | 1.31126i | ||||
\(760\) | −5.92451 | −0.214905 | ||||||||
\(761\) | 11.4464 | − | 5.22740i | 0.414932 | − | 0.189493i | −0.197000 | − | 0.980403i | \(-0.563120\pi\) |
0.611932 | + | 0.790910i | \(0.290393\pi\) | |||||||
\(762\) | 1.96640 | + | 29.7294i | 0.0712353 | + | 1.07698i | ||||
\(763\) | −13.1465 | + | 15.1719i | −0.475935 | + | 0.549258i | ||||
\(764\) | 5.84313 | + | 3.75515i | 0.211397 | + | 0.135857i | ||||
\(765\) | −7.16257 | − | 25.3961i | −0.258963 | − | 0.918198i | ||||
\(766\) | 20.6252 | − | 2.96546i | 0.745219 | − | 0.107146i | ||||
\(767\) | 0.754963 | − | 2.57117i | 0.0272601 | − | 0.0928395i | ||||
\(768\) | 1.62606 | − | 0.596594i | 0.0586754 | − | 0.0215277i | ||||
\(769\) | −29.9806 | − | 4.31056i | −1.08113 | − | 0.155443i | −0.421347 | − | 0.906900i | \(-0.638443\pi\) |
−0.659783 | + | 0.751457i | \(0.729352\pi\) | |||||||
\(770\) | 11.4772 | − | 25.1316i | 0.413610 | − | 0.905680i | ||||
\(771\) | 20.8023 | + | 15.7469i | 0.749178 | + | 0.567110i | ||||
\(772\) | 3.10724 | − | 21.6113i | 0.111832 | − | 0.777808i | ||||
\(773\) | 15.4317 | − | 9.91733i | 0.555038 | − | 0.356702i | −0.232857 | − | 0.972511i | \(-0.574807\pi\) |
0.787895 | + | 0.615810i | \(0.211171\pi\) | |||||||
\(774\) | 0.935809 | + | 0.828589i | 0.0336370 | + | 0.0297830i | ||||
\(775\) | 1.26128 | + | 8.77239i | 0.0453065 | + | 0.315114i | ||||
\(776\) | −5.90061 | − | 6.80967i | −0.211820 | − | 0.244453i | ||||
\(777\) | −42.2778 | − | 42.7329i | −1.51671 | − | 1.53303i | ||||
\(778\) | −8.02538 | − | 6.95403i | −0.287724 | − | 0.249314i | ||||
\(779\) | 13.5870 | − | 3.98949i | 0.486803 | − | 0.142938i | ||||
\(780\) | −0.0906266 | − | 0.427611i | −0.00324495 | − | 0.0153109i | ||||
\(781\) | 46.5687i | 1.66636i | ||||||||
\(782\) | −25.7615 | + | 14.6339i | −0.921228 | + | 0.523308i | ||||
\(783\) | 8.08757 | − | 10.4497i | 0.289026 | − | 0.373441i | ||||
\(784\) | −2.85901 | − | 6.26037i | −0.102108 | − | 0.223585i | ||||
\(785\) | −4.14624 | − | 14.1208i | −0.147986 | − | 0.503992i | ||||
\(786\) | −11.3403 | + | 8.39490i | −0.404495 | + | 0.299436i | ||||
\(787\) | 3.71957 | − | 5.78777i | 0.132588 | − | 0.206312i | −0.768611 | − | 0.639717i | \(-0.779052\pi\) |
0.901199 | + | 0.433405i | \(0.142688\pi\) | |||||||
\(788\) | 1.43141 | − | 1.24032i | 0.0509918 | − | 0.0441846i | ||||
\(789\) | 3.35445 | − | 43.6189i | 0.119422 | − | 1.55287i | ||||
\(790\) | 4.79052 | + | 1.40662i | 0.170439 | + | 0.0500454i | ||||
\(791\) | −28.7287 | − | 44.7027i | −1.02147 | − | 1.58944i | ||||
\(792\) | 13.0532 | + | 8.58762i | 0.463826 | + | 0.305148i | ||||
\(793\) | −0.894885 | − | 0.408680i | −0.0317783 | − | 0.0145127i | ||||
\(794\) | 11.7590 | + | 5.37016i | 0.417312 | + | 0.190580i | ||||
\(795\) | 0.525357 | − | 1.38584i | 0.0186325 | − | 0.0491505i | ||||
\(796\) | −5.90835 | − | 9.19357i | −0.209416 | − | 0.325857i | ||||
\(797\) | 10.7851 | + | 3.16679i | 0.382028 | + | 0.112174i | 0.467107 | − | 0.884201i | \(-0.345296\pi\) |
−0.0850793 | + | 0.996374i | \(0.527114\pi\) | |||||||
\(798\) | −26.7752 | − | 2.05911i | −0.947832 | − | 0.0728917i | ||||
\(799\) | 4.32552 | − | 3.74808i | 0.153026 | − | 0.132598i | ||||
\(800\) | 1.60730 | − | 2.50102i | 0.0568268 | − | 0.0884242i | ||||
\(801\) | −7.06100 | + | 3.13373i | −0.249488 | + | 0.110725i | ||||
\(802\) | 0.0114305 | + | 0.0389286i | 0.000403623 | + | 0.00137462i | ||||
\(803\) | 24.8819 | + | 54.4839i | 0.878065 | + | 1.92269i | ||||
\(804\) | −0.340998 | + | 1.52812i | −0.0120261 | + | 0.0538925i | ||||
\(805\) | −22.1206 | + | 12.5657i | −0.779649 | + | 0.442884i | ||||
\(806\) | − | 0.528409i | − | 0.0186124i | ||||||
\(807\) | −23.2572 | + | 4.92907i | −0.818694 | + | 0.173512i | ||||
\(808\) | 2.37229 | − | 0.696569i | 0.0834570 | − | 0.0245052i | ||||
\(809\) | 15.5590 | + | 13.4819i | 0.547024 | + | 0.473999i | 0.883982 | − | 0.467521i | \(-0.154853\pi\) |
−0.336958 | + | 0.941520i | \(0.609398\pi\) | |||||||
\(810\) | 12.7194 | − | 1.55162i | 0.446913 | − | 0.0545183i | ||||
\(811\) | 12.6718 | + | 14.6240i | 0.444967 | + | 0.513519i | 0.933280 | − | 0.359149i | \(-0.116933\pi\) |
−0.488313 | + | 0.872668i | \(0.662388\pi\) | |||||||
\(812\) | 1.34843 | + | 9.37850i | 0.0473205 | + | 0.329121i | ||||
\(813\) | −29.9213 | − | 16.5468i | −1.04938 | − | 0.580320i | ||||
\(814\) | −40.8124 | + | 26.2286i | −1.43048 | + | 0.919311i | ||||
\(815\) | 1.19816 | − | 8.33340i | 0.0419698 | − | 0.291906i | ||||
\(816\) | −6.45820 | + | 8.53158i | −0.226082 | + | 0.298665i | ||||
\(817\) | −0.720219 | + | 1.57706i | −0.0251973 | + | 0.0551743i | ||||
\(818\) | −9.90094 | − | 1.42354i | −0.346178 | − | 0.0497729i | ||||
\(819\) | −0.260958 | − | 1.96404i | −0.00911860 | − | 0.0686291i | ||||
\(820\) | 1.36498 | − | 4.64870i | 0.0476672 | − | 0.162340i | ||||
\(821\) | 23.9736 | − | 3.44689i | 0.836685 | − | 0.120297i | 0.289363 | − | 0.957219i | \(-0.406556\pi\) |
0.547322 | + | 0.836922i | \(0.315647\pi\) | |||||||
\(822\) | −13.2061 | + | 7.11960i | −0.460617 | + | 0.248324i | ||||
\(823\) | −28.5116 | − | 18.3233i | −0.993853 | − | 0.638710i | −0.0606870 | − | 0.998157i | \(-0.519329\pi\) |
−0.933166 | + | 0.359447i | \(0.882966\pi\) | |||||||
\(824\) | −8.04076 | + | 9.27954i | −0.280113 | + | 0.323268i | ||||
\(825\) | 26.7605 | − | 1.77003i | 0.931682 | − | 0.0616245i | ||||
\(826\) | −51.2374 | + | 23.3993i | −1.78278 | + | 0.814167i | ||||
\(827\) | 43.2784 | 1.50494 | 0.752469 | − | 0.658628i | \(-0.228863\pi\) | ||||
0.752469 | + | 0.658628i | \(0.228863\pi\) | |||||||
\(828\) | −5.10999 | − | 13.4495i | −0.177584 | − | 0.467401i | ||||
\(829\) | −43.4745 | −1.50993 | −0.754967 | − | 0.655763i | \(-0.772347\pi\) | ||||
−0.754967 | + | 0.655763i | \(0.772347\pi\) | |||||||
\(830\) | −19.0934 | + | 8.71966i | −0.662742 | + | 0.302664i | ||||
\(831\) | −34.3600 | + | 2.27268i | −1.19193 | + | 0.0788385i | ||||
\(832\) | −0.116077 | + | 0.133960i | −0.00402425 | + | 0.00464424i | ||||
\(833\) | 35.7681 | + | 22.9868i | 1.23929 | + | 0.796444i | ||||
\(834\) | −11.7833 | + | 6.35253i | −0.408022 | + | 0.219970i | ||||
\(835\) | −5.32864 | + | 0.766143i | −0.184405 | + | 0.0265135i | ||||
\(836\) | −6.10592 | + | 20.7949i | −0.211178 | + | 0.719205i | ||||
\(837\) | 15.4309 | + | 1.35301i | 0.533369 | + | 0.0467667i | ||||
\(838\) | −8.96141 | − | 1.28846i | −0.309567 | − | 0.0445090i | ||||
\(839\) | −5.16784 | + | 11.3160i | −0.178414 | + | 0.390672i | −0.977618 | − | 0.210388i | \(-0.932527\pi\) |
0.799204 | + | 0.601060i | \(0.205255\pi\) | |||||||
\(840\) | −5.54547 | + | 7.32582i | −0.191337 | + | 0.252765i | ||||
\(841\) | −3.20680 | + | 22.3038i | −0.110579 | + | 0.769097i | ||||
\(842\) | −8.29269 | + | 5.32939i | −0.285785 | + | 0.183663i | ||||
\(843\) | −13.4858 | − | 7.45778i | −0.464475 | − | 0.256860i | ||||
\(844\) | 1.03770 | + | 7.21735i | 0.0357191 | + | 0.248431i | ||||
\(845\) | −12.0913 | − | 13.9541i | −0.415953 | − | 0.480035i | ||||
\(846\) | 1.47752 | + | 2.35411i | 0.0507983 | + | 0.0809359i | ||||
\(847\) | −45.4082 | − | 39.3464i | −1.56024 | − | 1.35196i | ||||
\(848\) | −0.576660 | + | 0.169323i | −0.0198026 | + | 0.00581457i | ||||
\(849\) | 37.6431 | − | 7.97797i | 1.29191 | − | 0.273803i | ||||
\(850\) | 18.3664i | 0.629963i | ||||||||
\(851\) | 44.6056 | + | 2.43785i | 1.52906 | + | 0.0835683i | ||||
\(852\) | 3.37292 | − | 15.1151i | 0.115554 | − | 0.517834i | ||||
\(853\) | −20.8249 | − | 45.6003i | −0.713032 | − | 1.56132i | −0.823419 | − | 0.567434i | \(-0.807936\pi\) |
0.110387 | − | 0.993889i | \(-0.464791\pi\) | |||||||
\(854\) | 5.82601 | + | 19.8416i | 0.199362 | + | 0.678965i | ||||
\(855\) | 7.20989 | + | 16.2455i | 0.246573 | + | 0.555584i | ||||
\(856\) | 1.86478 | − | 2.90165i | 0.0637368 | − | 0.0991764i | ||||
\(857\) | −2.44036 | + | 2.11458i | −0.0833611 | + | 0.0722328i | −0.695545 | − | 0.718483i | \(-0.744837\pi\) |
0.612183 | + | 0.790716i | \(0.290291\pi\) | |||||||
\(858\) | −1.59430 | − | 0.122608i | −0.0544286 | − | 0.00418576i | ||||
\(859\) | −0.414426 | − | 0.121687i | −0.0141400 | − | 0.00415189i | 0.274655 | − | 0.961543i | \(-0.411436\pi\) |
−0.288795 | + | 0.957391i | \(0.593255\pi\) | |||||||
\(860\) | 0.320701 | + | 0.499021i | 0.0109358 | + | 0.0170165i | ||||
\(861\) | 7.78458 | − | 20.5349i | 0.265298 | − | 0.699827i | ||||
\(862\) | 29.2587 | + | 13.3620i | 0.996557 | + | 0.455112i | ||||
\(863\) | −10.1035 | − | 4.61411i | −0.343927 | − | 0.157066i | 0.235961 | − | 0.971763i | \(-0.424176\pi\) |
−0.579888 | + | 0.814696i | \(0.696904\pi\) | |||||||
\(864\) | −3.61476 | − | 3.73276i | −0.122977 | − | 0.126991i | ||||
\(865\) | −16.5268 | − | 25.7163i | −0.561929 | − | 0.874379i | ||||
\(866\) | −6.50840 | − | 1.91104i | −0.221164 | − | 0.0649397i | ||||
\(867\) | 2.81095 | − | 36.5516i | 0.0954650 | − | 1.24136i | ||||
\(868\) | −8.39423 | + | 7.27364i | −0.284919 | + | 0.246883i | ||||
\(869\) | 9.87441 | − | 15.3649i | 0.334966 | − | 0.521218i | ||||
\(870\) | 5.04024 | − | 3.73115i | 0.170880 | − | 0.126498i | ||||
\(871\) | −0.0451423 | − | 0.153740i | −0.00152959 | − | 0.00520930i | ||||
\(872\) | −2.23827 | − | 4.90112i | −0.0757973 | − | 0.165973i | ||||
\(873\) | −11.4919 | + | 24.4670i | −0.388940 | + | 0.828084i | ||||
\(874\) | 15.7729 | − | 12.2262i | 0.533525 | − | 0.413558i | ||||
\(875\) | 42.2943i | 1.42981i | ||||||||
\(876\) | −4.12987 | − | 19.4863i | −0.139535 | − | 0.658381i | ||||
\(877\) | −23.1675 | + | 6.80260i | −0.782311 | + | 0.229707i | −0.648414 | − | 0.761288i | \(-0.724567\pi\) |
−0.133897 | + | 0.990995i | \(0.542749\pi\) | |||||||
\(878\) | 20.8269 | + | 18.0466i | 0.702874 | + | 0.609043i | ||||
\(879\) | 16.1910 | + | 16.3653i | 0.546108 | + | 0.551986i | ||||
\(880\) | 4.85593 | + | 5.60404i | 0.163693 | + | 0.188912i | ||||
\(881\) | −0.107225 | − | 0.745769i | −0.00361251 | − | 0.0251256i | 0.987935 | − | 0.154866i | \(-0.0494946\pi\) |
−0.991548 | + | 0.129741i | \(0.958586\pi\) | |||||||
\(882\) | −13.6871 | + | 15.4583i | −0.460870 | + | 0.520507i | ||||
\(883\) | 31.6790 | − | 20.3589i | 1.06608 | − | 0.685130i | 0.114781 | − | 0.993391i | \(-0.463383\pi\) |
0.951302 | + | 0.308261i | \(0.0997468\pi\) | |||||||
\(884\) | 0.155842 | − | 1.08390i | 0.00524152 | − | 0.0364556i | ||||
\(885\) | 29.7246 | + | 22.5008i | 0.999181 | + | 0.756357i | ||||
\(886\) | −1.58993 | + | 3.48147i | −0.0534148 | + | 0.116962i | ||||
\(887\) | −41.2961 | − | 5.93749i | −1.38659 | − | 0.199361i | −0.591720 | − | 0.806144i | \(-0.701551\pi\) |
−0.794868 | + | 0.606782i | \(0.792460\pi\) | |||||||
\(888\) | 15.1464 | − | 5.55715i | 0.508281 | − | 0.186486i | ||||
\(889\) | −18.0568 | + | 61.4960i | −0.605607 | + | 2.06251i | ||||
\(890\) | −3.62889 | + | 0.521755i | −0.121641 | + | 0.0174893i | ||||
\(891\) | 7.66271 | − | 46.2438i | 0.256711 | − | 1.54922i | ||||
\(892\) | −7.30451 | − | 4.69433i | −0.244573 | − | 0.157178i | ||||
\(893\) | −2.52462 | + | 2.91357i | −0.0844831 | + | 0.0974987i | ||||
\(894\) | 0.606961 | + | 9.17645i | 0.0202998 | + | 0.306906i | ||||
\(895\) | −21.4858 | + | 9.81225i | −0.718192 | + | 0.327987i | ||||
\(896\) | 3.72590 | 0.124473 | ||||||||
\(897\) | 1.12372 | + | 0.951408i | 0.0375200 | + | 0.0317666i | ||||
\(898\) | 18.6367 | 0.621913 | ||||||||
\(899\) | 6.89578 | − | 3.14920i | 0.229987 | − | 0.105032i | ||||
\(900\) | −8.81401 | − | 1.36372i | −0.293800 | − | 0.0454575i | ||||
\(901\) | 2.43143 | − | 2.80602i | 0.0810028 | − | 0.0934822i | ||||
\(902\) | −14.9100 | − | 9.58209i | −0.496449 | − | 0.319049i | ||||
\(903\) | 1.27594 | + | 2.36673i | 0.0424605 | + | 0.0787599i | ||||
\(904\) | 14.1167 | − | 2.02967i | 0.469514 | − | 0.0675059i | ||||
\(905\) | 6.94647 | − | 23.6575i | 0.230908 | − | 0.786402i | ||||
\(906\) | −11.6633 | − | 31.7891i | −0.387487 | − | 1.05612i | ||||
\(907\) | −7.63423 | − | 1.09764i | −0.253490 | − | 0.0364464i | 0.0143980 | − | 0.999896i | \(-0.495417\pi\) |
−0.267889 | + | 0.963450i | \(0.586326\pi\) | |||||||
\(908\) | −8.99950 | + | 19.7061i | −0.298659 | + | 0.653971i | ||||
\(909\) | −4.79704 | − | 5.65733i | −0.159108 | − | 0.187642i | ||||
\(910\) | 0.133817 | − | 0.930715i | 0.00443598 | − | 0.0308529i | ||||
\(911\) | 22.1642 | − | 14.2441i | 0.734333 | − | 0.471927i | −0.119263 | − | 0.992863i | \(-0.538053\pi\) |
0.853596 | + | 0.520936i | \(0.174417\pi\) | |||||||
\(912\) | 3.48798 | − | 6.30726i | 0.115499 | − | 0.208854i | ||||
\(913\) | 10.9277 | + | 76.0039i | 0.361655 | + | 2.51536i | ||||
\(914\) | −16.3286 | − | 18.8442i | −0.540101 | − | 0.623310i | ||||
\(915\) | 9.72954 | − | 9.62593i | 0.321649 | − | 0.318224i | ||||
\(916\) | 7.38350 | + | 6.39784i | 0.243958 | + | 0.211391i | ||||
\(917\) | −29.1221 | + | 8.55101i | −0.961696 | + | 0.282379i | ||||
\(918\) | 31.2537 | + | 7.32633i | 1.03152 | + | 0.241805i | ||||
\(919\) | 6.36736i | 0.210040i | 0.994470 | + | 0.105020i | \(0.0334906\pi\) | ||||
−0.994470 | + | 0.105020i | \(0.966509\pi\) | |||||||
\(920\) | −0.601455 | − | 6.80148i | −0.0198294 | − | 0.224238i | ||||
\(921\) | 40.0724 | + | 8.94213i | 1.32043 | + | 0.294653i | ||||
\(922\) | −4.58180 | − | 10.0327i | −0.150894 | − | 0.330411i | ||||
\(923\) | 0.446516 | + | 1.52069i | 0.0146973 | + | 0.0500543i | ||||
\(924\) | 19.9981 | + | 27.0146i | 0.657890 | + | 0.888715i | ||||
\(925\) | 14.9717 | − | 23.2964i | 0.492267 | − | 0.765982i | ||||
\(926\) | 22.2088 | − | 19.2441i | 0.729828 | − | 0.632400i | ||||
\(927\) | 35.2305 | + | 10.7556i | 1.15712 | + | 0.353260i | ||||
\(928\) | −2.43999 | − | 0.716445i | −0.0800965 | − | 0.0235185i | ||||
\(929\) | −16.5754 | − | 25.7918i | −0.543821 | − | 0.846202i | 0.455202 | − | 0.890388i | \(-0.349567\pi\) |
−0.999023 | + | 0.0441861i | \(0.985931\pi\) | |||||||
\(930\) | 6.87394 | + | 2.60584i | 0.225405 | + | 0.0854490i | ||||
\(931\) | −26.0508 | − | 11.8970i | −0.853782 | − | 0.389909i | ||||
\(932\) | −7.24960 | − | 3.31078i | −0.237469 | − | 0.108448i | ||||
\(933\) | −19.6345 | − | 7.44326i | −0.642806 | − | 0.243681i | ||||
\(934\) | −12.6636 | − | 19.7050i | −0.414366 | − | 0.644766i | ||||
\(935\) | −43.9542 | − | 12.9061i | −1.43746 | − | 0.422075i | ||||
\(936\) | 0.508591 | + | 0.155269i | 0.0166238 | + | 0.00507512i | ||||
\(937\) | 14.6774 | − | 12.7180i | 0.479488 | − | 0.415479i | −0.381293 | − | 0.924454i | \(-0.624521\pi\) |
0.860781 | + | 0.508975i | \(0.169976\pi\) | |||||||
\(938\) | −1.82091 | + | 2.83339i | −0.0594547 | + | 0.0925134i | ||||
\(939\) | 28.7486 | + | 38.8351i | 0.938173 | + | 1.26734i | ||||
\(940\) | 0.371615 | + | 1.26560i | 0.0121207 | + | 0.0412794i | ||||
\(941\) | −17.5485 | − | 38.4259i | −0.572065 | − | 1.25265i | −0.945691 | − | 0.325068i | \(-0.894613\pi\) |
0.373626 | − | 0.927579i | \(-0.378114\pi\) | |||||||
\(942\) | 17.4741 | + | 3.89933i | 0.569336 | + | 0.127047i | ||||
\(943\) | 5.95937 | + | 15.1931i | 0.194064 | + | 0.494757i | ||||
\(944\) | − | 15.1179i | − | 0.492045i | ||||||
\(945\) | 26.8366 | + | 6.29091i | 0.872995 | + | 0.204643i | ||||
\(946\) | 2.08207 | − | 0.611351i | 0.0676939 | − | 0.0198767i | ||||
\(947\) | 22.3867 | + | 19.3982i | 0.727471 | + | 0.630358i | 0.937761 | − | 0.347282i | \(-0.112895\pi\) |
−0.210289 | + | 0.977639i | \(0.567441\pi\) | |||||||
\(948\) | −4.31785 | + | 4.27187i | −0.140237 | + | 0.138744i | ||||
\(949\) | 1.33492 | + | 1.54059i | 0.0433335 | + | 0.0500095i | ||||
\(950\) | −1.76060 | − | 12.2453i | −0.0571215 | − | 0.397289i | ||||
\(951\) | −4.87754 | + | 8.81997i | −0.158165 | + | 0.286007i | ||||
\(952\) | −19.3639 | + | 12.4444i | −0.627587 | + | 0.403326i | ||||
\(953\) | −1.32506 | + | 9.21596i | −0.0429228 | + | 0.298534i | 0.957040 | + | 0.289954i | \(0.0936402\pi\) |
−0.999963 | + | 0.00857985i | \(0.997269\pi\) | |||||||
\(954\) | 1.16607 | + | 1.37519i | 0.0377529 | + | 0.0445234i | ||||
\(955\) | 4.10801 | − | 8.99529i | 0.132932 | − | 0.291081i | ||||
\(956\) | 28.7481 | + | 4.13335i | 0.929781 | + | 0.133682i | ||||
\(957\) | −7.90165 | − | 21.5365i | −0.255424 | − | 0.696176i | ||||
\(958\) | −0.117419 | + | 0.399891i | −0.00379362 | + | 0.0129199i | ||||
\(959\) | −31.9452 | + | 4.59303i | −1.03156 | + | 0.148317i | ||||
\(960\) | −1.17022 | − | 2.17064i | −0.0377687 | − | 0.0700572i | ||||
\(961\) | −18.6028 | − | 11.9553i | −0.600091 | − | 0.385655i | ||||
\(962\) | −1.08124 | + | 1.24781i | −0.0348604 | + | 0.0402311i | ||||
\(963\) | −10.2259 | − | 1.58218i | −0.329526 | − | 0.0509850i | ||||
\(964\) | −3.65934 | + | 1.67116i | −0.117859 | + | 0.0538246i | ||||
\(965\) | −31.0853 | −1.00067 | ||||||||
\(966\) | −0.354305 | − | 30.9476i | −0.0113996 | − | 0.995723i | ||||
\(967\) | 18.0422 | 0.580197 | 0.290099 | − | 0.956997i | \(-0.406312\pi\) | ||||
0.290099 | + | 0.956997i | \(0.406312\pi\) | |||||||
\(968\) | 14.6687 | − | 6.69896i | 0.471469 | − | 0.215313i | ||||
\(969\) | 2.93870 | + | 44.4293i | 0.0944046 | + | 1.42727i | ||||
\(970\) | −8.40094 | + | 9.69520i | −0.269738 | + | 0.311294i | ||||
\(971\) | 3.43406 | + | 2.20693i | 0.110204 | + | 0.0708239i | 0.594582 | − | 0.804035i | \(-0.297318\pi\) |
−0.484378 | + | 0.874859i | \(0.660954\pi\) | |||||||
\(972\) | −5.83651 | + | 14.4546i | −0.187206 | + | 0.463631i | ||||
\(973\) | −28.5034 | + | 4.09817i | −0.913778 | + | 0.131381i | ||||
\(974\) | 6.75158 | − | 22.9938i | 0.216334 | − | 0.736768i | ||||
\(975\) | 0.856889 | − | 0.314389i | 0.0274424 | − | 0.0100685i | ||||
\(976\) | −5.49364 | − | 0.789866i | −0.175847 | − | 0.0252830i | ||||
\(977\) | −22.6794 | + | 49.6610i | −0.725579 | + | 1.58880i | 0.0803378 | + | 0.996768i | \(0.474400\pi\) |
−0.805917 | + | 0.592029i | \(0.798327\pi\) | |||||||
\(978\) | 8.16637 | + | 6.18175i | 0.261132 | + | 0.197671i | ||||
\(979\) | −1.90866 | + | 13.2750i | −0.0610010 | + | 0.424272i | ||||
\(980\) | −8.24313 | + | 5.29754i | −0.263317 | + | 0.169224i | ||||
\(981\) | −10.7154 | + | 12.1020i | −0.342116 | + | 0.386387i | ||||
\(982\) | −1.85487 | − | 12.9009i | −0.0591912 | − | 0.411684i | ||||
\(983\) | −14.4645 | − | 16.6930i | −0.461347 | − | 0.532423i | 0.476638 | − | 0.879100i | \(-0.341855\pi\) |
−0.937984 | + | 0.346677i | \(0.887310\pi\) | |||||||
\(984\) | 4.14541 | + | 4.19003i | 0.132151 | + | 0.133573i | ||||
\(985\) | −2.03795 | − | 1.76590i | −0.0649346 | − | 0.0562661i | ||||
\(986\) | 15.0738 | − | 4.42607i | 0.480047 | − | 0.140955i | ||||
\(987\) | 1.23960 | + | 5.84892i | 0.0394570 | + | 0.186173i | ||||
\(988\) | 0.737598i | 0.0234661i | ||||||||
\(989\) | −1.88362 | − | 0.666726i | −0.0598956 | − | 0.0212006i | ||||
\(990\) | 9.45726 | − | 20.1352i | 0.300572 | − | 0.639940i | ||||
\(991\) | −4.83807 | − | 10.5939i | −0.153686 | − | 0.336526i | 0.817091 | − | 0.576509i | \(-0.195585\pi\) |
−0.970777 | + | 0.239983i | \(0.922858\pi\) | |||||||
\(992\) | −0.839864 | − | 2.86031i | −0.0266657 | − | 0.0908151i | ||||
\(993\) | 26.0916 | − | 19.3149i | 0.827992 | − | 0.612939i | ||||
\(994\) | 18.0112 | − | 28.0259i | 0.571279 | − | 0.888928i | ||||
\(995\) | −11.7589 | + | 10.1891i | −0.372782 | + | 0.323017i | ||||
\(996\) | 1.95800 | − | 25.4605i | 0.0620417 | − | 0.806747i | ||||
\(997\) | 19.6391 | + | 5.76656i | 0.621977 | + | 0.182629i | 0.577512 | − | 0.816382i | \(-0.304024\pi\) |
0.0444645 | + | 0.999011i | \(0.485842\pi\) | |||||||
\(998\) | 24.0053 | + | 37.3530i | 0.759874 | + | 1.18239i | ||||
\(999\) | −33.6708 | − | 34.7699i | −1.06530 | − | 1.10007i |
(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 | 138.2.f.a.65.1 | yes | 80 | |
3.2 | odd | 2 | inner | 138.2.f.a.65.5 | yes | 80 | |
23.17 | odd | 22 | inner | 138.2.f.a.17.5 | yes | 80 | |
69.17 | even | 22 | inner | 138.2.f.a.17.1 | ✓ | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.f.a.17.1 | ✓ | 80 | 69.17 | even | 22 | inner | |
138.2.f.a.17.5 | yes | 80 | 23.17 | odd | 22 | inner | |
138.2.f.a.65.1 | yes | 80 | 1.1 | even | 1 | trivial | |
138.2.f.a.65.5 | yes | 80 | 3.2 | odd | 2 | inner |