Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 483.25 |
Dual form | 483.2.y.b.58.2 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.108052 | + | 2.26829i | −0.0764044 | + | 1.60393i | 0.557273 | + | 0.830329i | \(0.311848\pi\) |
−0.633678 | + | 0.773597i | \(0.718456\pi\) | |||||||
\(3\) | 0.928368 | + | 0.371662i | 0.535993 | + | 0.214579i | ||||
\(4\) | −3.14254 | − | 0.300076i | −1.57127 | − | 0.150038i | ||||
\(5\) | 0.756875 | + | 3.11988i | 0.338485 | + | 1.39525i | 0.845804 | + | 0.533495i | \(0.179122\pi\) |
−0.507319 | + | 0.861758i | \(0.669363\pi\) | |||||||
\(6\) | −0.943352 | + | 2.06565i | −0.385122 | + | 0.843299i | ||||
\(7\) | −2.46743 | − | 0.954876i | −0.932601 | − | 0.360909i | ||||
\(8\) | 0.373863 | − | 2.60027i | 0.132180 | − | 0.919336i | ||||
\(9\) | 0.723734 | + | 0.690079i | 0.241245 | + | 0.230026i | ||||
\(10\) | −7.15859 | + | 1.37970i | −2.26374 | + | 0.436301i | ||||
\(11\) | 0.0489591 | + | 1.02778i | 0.0147617 | + | 0.309887i | 0.994158 | + | 0.107937i | \(0.0344246\pi\) |
−0.979396 | + | 0.201949i | \(0.935272\pi\) | |||||||
\(12\) | −2.80591 | − | 1.44654i | −0.809995 | − | 0.417581i | ||||
\(13\) | −0.882063 | − | 1.01795i | −0.244640 | − | 0.282330i | 0.620128 | − | 0.784500i | \(-0.287080\pi\) |
−0.864769 | + | 0.502170i | \(0.832535\pi\) | |||||||
\(14\) | 2.43255 | − | 5.49368i | 0.650126 | − | 1.46825i | ||||
\(15\) | −0.456884 | + | 3.17770i | −0.117967 | + | 0.820478i | ||||
\(16\) | −0.341781 | − | 0.0658730i | −0.0854453 | − | 0.0164682i | ||||
\(17\) | 1.07086 | + | 1.50381i | 0.259722 | + | 0.364729i | 0.923761 | − | 0.382969i | \(-0.125099\pi\) |
−0.664039 | + | 0.747698i | \(0.731159\pi\) | |||||||
\(18\) | −1.64350 | + | 1.56708i | −0.387377 | + | 0.369364i | ||||
\(19\) | 1.50930 | − | 2.11951i | 0.346257 | − | 0.486250i | −0.604319 | − | 0.796743i | \(-0.706555\pi\) |
0.950576 | + | 0.310493i | \(0.100494\pi\) | |||||||
\(20\) | −1.44231 | − | 10.0315i | −0.322510 | − | 2.24310i | ||||
\(21\) | −1.93579 | − | 1.80353i | −0.422424 | − | 0.393562i | ||||
\(22\) | −2.33659 | −0.498164 | ||||||||
\(23\) | −0.750041 | + | 4.73682i | −0.156394 | + | 0.987695i | ||||
\(24\) | 1.31351 | − | 2.27506i | 0.268118 | − | 0.464395i | ||||
\(25\) | −4.71662 | + | 2.43159i | −0.943324 | + | 0.486317i | ||||
\(26\) | 2.40433 | − | 1.89079i | 0.471528 | − | 0.370813i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | 7.46746 | + | 3.74115i | 1.41122 | + | 0.707011i | ||||
\(29\) | 1.20181 | − | 2.63159i | 0.223170 | − | 0.488675i | −0.764617 | − | 0.644485i | \(-0.777072\pi\) |
0.987787 | + | 0.155811i | \(0.0497990\pi\) | |||||||
\(30\) | −7.15859 | − | 1.37970i | −1.30697 | − | 0.251898i | ||||
\(31\) | 5.55612 | + | 4.36938i | 0.997908 | + | 0.784763i | 0.976612 | − | 0.215010i | \(-0.0689783\pi\) |
0.0212960 | + | 0.999773i | \(0.493221\pi\) | |||||||
\(32\) | 1.42503 | − | 5.87407i | 0.251913 | − | 1.03840i | ||||
\(33\) | −0.336535 | + | 0.972353i | −0.0585832 | + | 0.169265i | ||||
\(34\) | −3.52680 | + | 2.26654i | −0.604842 | + | 0.388708i | ||||
\(35\) | 1.11156 | − | 8.42081i | 0.187888 | − | 1.42338i | ||||
\(36\) | −2.06729 | − | 2.38578i | −0.344548 | − | 0.397629i | ||||
\(37\) | −1.57628 | − | 1.50298i | −0.259139 | − | 0.247088i | 0.549360 | − | 0.835585i | \(-0.314871\pi\) |
−0.808499 | + | 0.588497i | \(0.799720\pi\) | |||||||
\(38\) | 4.64460 | + | 3.65255i | 0.753453 | + | 0.592522i | ||||
\(39\) | −0.440543 | − | 1.27287i | −0.0705434 | − | 0.203822i | ||||
\(40\) | 8.39551 | − | 0.801674i | 1.32745 | − | 0.126756i | ||||
\(41\) | −9.25775 | − | 2.71832i | −1.44582 | − | 0.424531i | −0.537661 | − | 0.843161i | \(-0.680692\pi\) |
−0.908157 | + | 0.418630i | \(0.862510\pi\) | |||||||
\(42\) | 4.30010 | − | 4.19607i | 0.663519 | − | 0.647468i | ||||
\(43\) | 0.528860 | + | 3.67830i | 0.0806505 | + | 0.560936i | 0.989580 | + | 0.143986i | \(0.0459920\pi\) |
−0.908929 | + | 0.416950i | \(0.863099\pi\) | |||||||
\(44\) | 0.154556 | − | 3.24453i | 0.0233002 | − | 0.489131i | ||||
\(45\) | −1.60519 | + | 2.78027i | −0.239287 | + | 0.414458i | ||||
\(46\) | −10.6635 | − | 2.21314i | −1.57224 | − | 0.326309i | ||||
\(47\) | 2.39235 | + | 4.14367i | 0.348960 | + | 0.604417i | 0.986065 | − | 0.166360i | \(-0.0532015\pi\) |
−0.637105 | + | 0.770777i | \(0.719868\pi\) | |||||||
\(48\) | −0.292816 | − | 0.188182i | −0.0422644 | − | 0.0271617i | ||||
\(49\) | 5.17642 | + | 4.71218i | 0.739489 | + | 0.673168i | ||||
\(50\) | −5.00591 | − | 10.9614i | −0.707943 | − | 1.55018i | ||||
\(51\) | 0.435242 | + | 1.79409i | 0.0609461 | + | 0.251223i | ||||
\(52\) | 2.46645 | + | 3.46365i | 0.342035 | + | 0.480321i | ||||
\(53\) | 0.285211 | + | 0.824064i | 0.0391768 | + | 0.113194i | 0.962893 | − | 0.269884i | \(-0.0869853\pi\) |
−0.923716 | + | 0.383078i | \(0.874864\pi\) | |||||||
\(54\) | −2.10820 | + | 0.843996i | −0.286890 | + | 0.114853i | ||||
\(55\) | −3.16949 | + | 0.930647i | −0.427374 | + | 0.125488i | ||||
\(56\) | −3.40542 | + | 6.05900i | −0.455068 | + | 0.809668i | ||||
\(57\) | 2.18893 | − | 1.40674i | 0.289931 | − | 0.186327i | ||||
\(58\) | 5.83937 | + | 3.01040i | 0.766747 | + | 0.395285i | ||||
\(59\) | 12.3770 | − | 2.38548i | 1.61135 | − | 0.310563i | 0.697493 | − | 0.716592i | \(-0.254299\pi\) |
0.913860 | + | 0.406029i | \(0.133087\pi\) | |||||||
\(60\) | 2.38933 | − | 9.84894i | 0.308461 | − | 1.27149i | ||||
\(61\) | 1.38202 | − | 0.553276i | 0.176949 | − | 0.0708397i | −0.281496 | − | 0.959562i | \(-0.590831\pi\) |
0.458445 | + | 0.888723i | \(0.348406\pi\) | |||||||
\(62\) | −10.5114 | + | 12.1308i | −1.33495 | + | 1.54061i | ||||
\(63\) | −1.12682 | − | 2.39380i | −0.141966 | − | 0.301590i | ||||
\(64\) | 12.5022 | + | 3.67097i | 1.56277 | + | 0.458872i | ||||
\(65\) | 2.50829 | − | 3.52239i | 0.311115 | − | 0.436899i | ||||
\(66\) | −2.16922 | − | 0.868424i | −0.267012 | − | 0.106896i | ||||
\(67\) | 7.78071 | − | 4.01123i | 0.950565 | − | 0.490050i | 0.0880691 | − | 0.996114i | \(-0.471930\pi\) |
0.862496 | + | 0.506064i | \(0.168900\pi\) | |||||||
\(68\) | −2.91396 | − | 5.04714i | −0.353370 | − | 0.612055i | ||||
\(69\) | −2.45681 | + | 4.11875i | −0.295765 | + | 0.495839i | ||||
\(70\) | 18.9808 | + | 3.43124i | 2.26864 | + | 0.410111i | ||||
\(71\) | 9.87122 | + | 6.34385i | 1.17150 | + | 0.752876i | 0.973804 | − | 0.227387i | \(-0.0730184\pi\) |
0.197694 | + | 0.980264i | \(0.436655\pi\) | |||||||
\(72\) | 2.06497 | − | 1.62391i | 0.243359 | − | 0.191380i | ||||
\(73\) | −4.79757 | − | 0.458112i | −0.561513 | − | 0.0536180i | −0.189559 | − | 0.981869i | \(-0.560706\pi\) |
−0.371954 | + | 0.928251i | \(0.621312\pi\) | |||||||
\(74\) | 3.57952 | − | 3.41307i | 0.416111 | − | 0.396761i | ||||
\(75\) | −5.28249 | + | 0.504416i | −0.609969 | + | 0.0582450i | ||||
\(76\) | −5.37905 | + | 6.20775i | −0.617019 | + | 0.712078i | ||||
\(77\) | 0.860598 | − | 2.58272i | 0.0980742 | − | 0.294329i | ||||
\(78\) | 2.93484 | − | 0.861746i | 0.332305 | − | 0.0975735i | ||||
\(79\) | −0.772892 | + | 2.23312i | −0.0869571 | + | 0.251246i | −0.980092 | − | 0.198542i | \(-0.936379\pi\) |
0.893135 | + | 0.449788i | \(0.148501\pi\) | |||||||
\(80\) | −0.0531700 | − | 1.11617i | −0.00594458 | − | 0.124792i | ||||
\(81\) | 0.0475819 | + | 0.998867i | 0.00528688 | + | 0.110985i | ||||
\(82\) | 7.16627 | − | 20.7056i | 0.791382 | − | 2.28655i | ||||
\(83\) | −4.20692 | + | 1.23526i | −0.461769 | + | 0.135588i | −0.504339 | − | 0.863506i | \(-0.668264\pi\) |
0.0425698 | + | 0.999093i | \(0.486446\pi\) | |||||||
\(84\) | 5.54210 | + | 6.24854i | 0.604693 | + | 0.681771i | ||||
\(85\) | −3.88121 | + | 4.47916i | −0.420977 | + | 0.485833i | ||||
\(86\) | −8.40062 | + | 0.802162i | −0.905862 | + | 0.0864994i | ||||
\(87\) | 2.09379 | − | 1.99642i | 0.224477 | − | 0.214039i | ||||
\(88\) | 2.69081 | + | 0.256941i | 0.286841 | + | 0.0273900i | ||||
\(89\) | −10.4693 | + | 8.23315i | −1.10974 | + | 0.872712i | −0.992723 | − | 0.120418i | \(-0.961577\pi\) |
−0.117020 | + | 0.993130i | \(0.537334\pi\) | |||||||
\(90\) | −6.13302 | − | 3.94145i | −0.646477 | − | 0.415466i | ||||
\(91\) | 1.20441 | + | 3.35399i | 0.126256 | + | 0.351594i | ||||
\(92\) | 3.77844 | − | 14.6606i | 0.393929 | − | 1.52847i | ||||
\(93\) | 3.53419 | + | 6.12139i | 0.366478 | + | 0.634759i | ||||
\(94\) | −9.65757 | + | 4.97882i | −0.996102 | + | 0.513526i | ||||
\(95\) | 7.75498 | + | 3.10463i | 0.795644 | + | 0.318528i | ||||
\(96\) | 3.50612 | − | 4.92366i | 0.357842 | − | 0.502519i | ||||
\(97\) | −15.6657 | − | 4.59987i | −1.59061 | − | 0.467046i | −0.637698 | − | 0.770287i | \(-0.720113\pi\) |
−0.952914 | + | 0.303241i | \(0.901931\pi\) | |||||||
\(98\) | −11.2479 | + | 11.2325i | −1.13621 | + | 1.13465i | ||||
\(99\) | −0.673815 | + | 0.777624i | −0.0677210 | + | 0.0781542i | ||||
\(100\) | 15.5518 | − | 6.22601i | 1.55518 | − | 0.622601i | ||||
\(101\) | 1.02686 | − | 4.23277i | 0.102176 | − | 0.421176i | −0.897632 | − | 0.440745i | \(-0.854714\pi\) |
0.999809 | + | 0.0195691i | \(0.00622942\pi\) | |||||||
\(102\) | −4.11656 | + | 0.793401i | −0.407600 | + | 0.0785584i | ||||
\(103\) | 12.5323 | + | 6.46087i | 1.23485 | + | 0.636608i | 0.947051 | − | 0.321083i | \(-0.104047\pi\) |
0.287797 | + | 0.957691i | \(0.407077\pi\) | |||||||
\(104\) | −2.97673 | + | 1.91303i | −0.291892 | + | 0.187588i | ||||
\(105\) | 4.16164 | − | 7.40448i | 0.406134 | − | 0.722604i | ||||
\(106\) | −1.90004 | + | 0.557901i | −0.184548 | + | 0.0541882i | ||||
\(107\) | 8.73389 | − | 3.49652i | 0.844337 | − | 0.338022i | 0.0911576 | − | 0.995836i | \(-0.470943\pi\) |
0.753180 | + | 0.657815i | \(0.228519\pi\) | |||||||
\(108\) | −1.03250 | − | 2.98321i | −0.0993523 | − | 0.287059i | ||||
\(109\) | 7.18570 | + | 10.0909i | 0.688266 | + | 0.966534i | 0.999867 | + | 0.0163207i | \(0.00519528\pi\) |
−0.311601 | + | 0.950213i | \(0.600865\pi\) | |||||||
\(110\) | −1.76851 | − | 7.28990i | −0.168621 | − | 0.695064i | ||||
\(111\) | −0.904767 | − | 1.98116i | −0.0858767 | − | 0.188044i | ||||
\(112\) | 0.780421 | + | 0.488896i | 0.0737429 | + | 0.0461963i | ||||
\(113\) | 0.789011 | + | 0.507067i | 0.0742239 | + | 0.0477008i | 0.577226 | − | 0.816584i | \(-0.304135\pi\) |
−0.503003 | + | 0.864285i | \(0.667771\pi\) | |||||||
\(114\) | 2.95438 | + | 5.11713i | 0.276703 | + | 0.479264i | ||||
\(115\) | −15.3460 | + | 1.24514i | −1.43102 | + | 0.116110i | ||||
\(116\) | −4.56641 | + | 7.90925i | −0.423980 | + | 0.734355i | ||||
\(117\) | 0.0640903 | − | 1.34542i | 0.00592515 | − | 0.124384i | ||||
\(118\) | 4.07360 | + | 28.3325i | 0.375005 | + | 2.60822i | ||||
\(119\) | −1.20632 | − | 4.73310i | −0.110583 | − | 0.433882i | ||||
\(120\) | 8.09208 | + | 2.37605i | 0.738702 | + | 0.216902i | ||||
\(121\) | 9.89626 | − | 0.944978i | 0.899660 | − | 0.0859071i | ||||
\(122\) | 1.10566 | + | 3.19460i | 0.100102 | + | 0.289226i | ||||
\(123\) | −7.58430 | − | 5.96436i | −0.683854 | − | 0.537788i | ||||
\(124\) | −16.1492 | − | 15.3982i | −1.45024 | − | 1.38280i | ||||
\(125\) | −0.644400 | − | 0.743678i | −0.0576369 | − | 0.0665165i | ||||
\(126\) | 5.55159 | − | 2.29731i | 0.494575 | − | 0.204661i | ||||
\(127\) | −6.29383 | + | 4.04480i | −0.558487 | + | 0.358918i | −0.789231 | − | 0.614097i | \(-0.789521\pi\) |
0.230743 | + | 0.973015i | \(0.425884\pi\) | |||||||
\(128\) | −5.72384 | + | 16.5380i | −0.505921 | + | 1.46176i | ||||
\(129\) | −0.876111 | + | 3.61138i | −0.0771372 | + | 0.317964i | ||||
\(130\) | 7.71880 | + | 6.07013i | 0.676984 | + | 0.532386i | ||||
\(131\) | −17.3449 | − | 3.34295i | −1.51543 | − | 0.292075i | −0.637343 | − | 0.770580i | \(-0.719967\pi\) |
−0.878085 | + | 0.478505i | \(0.841179\pi\) | |||||||
\(132\) | 1.34935 | − | 2.95467i | 0.117446 | − | 0.257171i | ||||
\(133\) | −5.74796 | + | 3.78856i | −0.498412 | + | 0.328510i | ||||
\(134\) | 8.25794 | + | 18.0824i | 0.713377 | + | 1.56208i | ||||
\(135\) | −2.52353 | + | 1.98452i | −0.217191 | + | 0.170801i | ||||
\(136\) | 4.31068 | − | 2.22231i | 0.369638 | − | 0.190562i | ||||
\(137\) | −8.51987 | + | 14.7568i | −0.727901 | + | 1.26076i | 0.229867 | + | 0.973222i | \(0.426171\pi\) |
−0.957769 | + | 0.287540i | \(0.907163\pi\) | |||||||
\(138\) | −9.07707 | − | 6.01781i | −0.772691 | − | 0.512270i | ||||
\(139\) | 19.1265 | 1.62229 | 0.811144 | − | 0.584847i | \(-0.198845\pi\) | ||||
0.811144 | + | 0.584847i | \(0.198845\pi\) | |||||||
\(140\) | −6.02001 | + | 26.1292i | −0.508784 | + | 2.20832i | ||||
\(141\) | 0.680934 | + | 4.73600i | 0.0573450 | + | 0.398843i | ||||
\(142\) | −15.4563 | + | 21.7054i | −1.29707 | + | 1.82147i | ||||
\(143\) | 1.00305 | − | 0.956403i | 0.0838790 | − | 0.0799785i | ||||
\(144\) | −0.201901 | − | 0.283531i | −0.0168251 | − | 0.0236276i | ||||
\(145\) | 9.11988 | + | 1.75771i | 0.757365 | + | 0.145970i | ||||
\(146\) | 1.55752 | − | 10.8328i | 0.128901 | − | 0.896529i | ||||
\(147\) | 3.05429 | + | 6.29852i | 0.251913 | + | 0.519493i | ||||
\(148\) | 4.50251 | + | 5.19618i | 0.370104 | + | 0.427123i | ||||
\(149\) | 8.62503 | + | 4.44651i | 0.706590 | + | 0.364272i | 0.773768 | − | 0.633469i | \(-0.218369\pi\) |
−0.0671786 | + | 0.997741i | \(0.521400\pi\) | |||||||
\(150\) | −0.573380 | − | 12.0367i | −0.0468163 | − | 0.982795i | ||||
\(151\) | −19.1325 | + | 3.68749i | −1.55698 | + | 0.300084i | −0.893832 | − | 0.448401i | \(-0.851994\pi\) |
−0.663151 | + | 0.748485i | \(0.730781\pi\) | |||||||
\(152\) | −4.94705 | − | 4.71700i | −0.401258 | − | 0.382599i | ||||
\(153\) | −0.262732 | + | 1.82734i | −0.0212406 | + | 0.147732i | ||||
\(154\) | 5.76538 | + | 2.23116i | 0.464588 | + | 0.179792i | ||||
\(155\) | −9.42665 | + | 20.6415i | −0.757167 | + | 1.65796i | ||||
\(156\) | 1.00247 | + | 4.13223i | 0.0802616 | + | 0.330843i | ||||
\(157\) | −20.6442 | − | 1.97128i | −1.64758 | − | 0.157325i | −0.770427 | − | 0.637528i | \(-0.779957\pi\) |
−0.877158 | + | 0.480203i | \(0.840563\pi\) | |||||||
\(158\) | −4.98187 | − | 1.99444i | −0.396336 | − | 0.158669i | ||||
\(159\) | −0.0414926 | + | 0.871037i | −0.00329058 | + | 0.0690778i | ||||
\(160\) | 19.4050 | 1.53410 | ||||||||
\(161\) | 6.37375 | − | 10.9716i | 0.502322 | − | 0.864681i | ||||
\(162\) | −2.27087 | −0.178416 | ||||||||
\(163\) | 0.115468 | − | 2.42398i | 0.00904419 | − | 0.189861i | −0.989824 | − | 0.142297i | \(-0.954551\pi\) |
0.998868 | − | 0.0475639i | \(-0.0151458\pi\) | |||||||
\(164\) | 28.2771 | + | 11.3205i | 2.20807 | + | 0.883979i | ||||
\(165\) | −3.28834 | − | 0.313998i | −0.255997 | − | 0.0244447i | ||||
\(166\) | −2.34737 | − | 9.67599i | −0.182191 | − | 0.751003i | ||||
\(167\) | 9.11521 | − | 19.9595i | 0.705356 | − | 1.54452i | −0.127997 | − | 0.991775i | \(-0.540855\pi\) |
0.833353 | − | 0.552740i | \(-0.186418\pi\) | |||||||
\(168\) | −5.41339 | + | 4.35932i | −0.417652 | + | 0.336329i | ||||
\(169\) | 1.59190 | − | 11.0719i | 0.122454 | − | 0.851683i | ||||
\(170\) | −9.74068 | − | 9.28772i | −0.747076 | − | 0.712335i | ||||
\(171\) | 2.55496 | − | 0.492429i | 0.195383 | − | 0.0376570i | ||||
\(172\) | −0.558193 | − | 11.7179i | −0.0425618 | − | 0.893482i | ||||
\(173\) | −2.95601 | − | 1.52393i | −0.224742 | − | 0.115862i | 0.342179 | − | 0.939635i | \(-0.388835\pi\) |
−0.566921 | + | 0.823772i | \(0.691865\pi\) | |||||||
\(174\) | 4.30223 | + | 4.96504i | 0.326151 | + | 0.376399i | ||||
\(175\) | 13.9598 | − | 1.49598i | 1.05526 | − | 0.113086i | ||||
\(176\) | 0.0509695 | − | 0.354501i | 0.00384197 | − | 0.0267215i | ||||
\(177\) | 12.3770 | + | 2.38548i | 0.930315 | + | 0.179304i | ||||
\(178\) | −17.5440 | − | 24.6371i | −1.31498 | − | 1.84663i | ||||
\(179\) | 15.0250 | − | 14.3263i | 1.12302 | − | 1.07080i | 0.126128 | − | 0.992014i | \(-0.459745\pi\) |
0.996892 | − | 0.0787830i | \(-0.0251034\pi\) | |||||||
\(180\) | 5.87866 | − | 8.25542i | 0.438169 | − | 0.615323i | ||||
\(181\) | −2.37325 | − | 16.5063i | −0.176402 | − | 1.22691i | −0.865004 | − | 0.501766i | \(-0.832684\pi\) |
0.688601 | − | 0.725140i | \(-0.258225\pi\) | |||||||
\(182\) | −7.73798 | + | 2.36955i | −0.573577 | + | 0.175642i | ||||
\(183\) | 1.48865 | 0.110044 | ||||||||
\(184\) | 12.0366 | + | 3.72123i | 0.887351 | + | 0.274333i | ||||
\(185\) | 3.49607 | − | 6.05538i | 0.257036 | − | 0.445200i | ||||
\(186\) | −14.2670 | + | 7.35514i | −1.04611 | + | 0.539305i | ||||
\(187\) | −1.49316 | + | 1.17423i | −0.109191 | + | 0.0858685i | ||||
\(188\) | −6.27464 | − | 13.7395i | −0.457625 | − | 1.00206i | ||||
\(189\) | −0.156422 | − | 2.64112i | −0.0113780 | − | 0.192113i | ||||
\(190\) | −7.88015 | + | 17.2551i | −0.571686 | + | 1.25182i | ||||
\(191\) | 24.4293 | + | 4.70837i | 1.76764 | + | 0.340686i | 0.966281 | − | 0.257491i | \(-0.0828959\pi\) |
0.801364 | + | 0.598177i | \(0.204108\pi\) | |||||||
\(192\) | 10.2423 | + | 8.05461i | 0.739172 | + | 0.581291i | ||||
\(193\) | 5.91903 | − | 24.3986i | 0.426061 | − | 1.75625i | −0.203284 | − | 0.979120i | \(-0.565161\pi\) |
0.629344 | − | 0.777127i | \(-0.283324\pi\) | |||||||
\(194\) | 12.1266 | − | 35.0374i | 0.870636 | − | 2.51554i | ||||
\(195\) | 3.63775 | − | 2.33784i | 0.260505 | − | 0.167416i | ||||
\(196\) | −14.8531 | − | 16.3615i | −1.06094 | − | 1.16868i | ||||
\(197\) | 15.6651 | + | 18.0785i | 1.11610 | + | 1.28804i | 0.953514 | + | 0.301348i | \(0.0974365\pi\) |
0.162581 | + | 0.986695i | \(0.448018\pi\) | |||||||
\(198\) | −1.69107 | − | 1.61243i | −0.120179 | − | 0.114591i | ||||
\(199\) | −2.11554 | − | 1.66368i | −0.149967 | − | 0.117935i | 0.540357 | − | 0.841436i | \(-0.318289\pi\) |
−0.690323 | + | 0.723501i | \(0.742532\pi\) | |||||||
\(200\) | 4.55942 | + | 13.1736i | 0.322400 | + | 0.931513i | ||||
\(201\) | 8.71419 | − | 0.832104i | 0.614651 | − | 0.0586921i | ||||
\(202\) | 9.49021 | + | 2.78658i | 0.667729 | + | 0.196063i | ||||
\(203\) | −5.47822 | + | 5.34570i | −0.384496 | + | 0.375194i | ||||
\(204\) | −0.829401 | − | 5.76861i | −0.0580697 | − | 0.403883i | ||||
\(205\) | 1.47388 | − | 30.9405i | 0.102940 | − | 2.16098i | ||||
\(206\) | −16.0093 | + | 27.7289i | −1.11542 | + | 1.93197i | ||||
\(207\) | −3.81161 | + | 2.91061i | −0.264925 | + | 0.202301i | ||||
\(208\) | 0.234417 | + | 0.406022i | 0.0162539 | + | 0.0281526i | ||||
\(209\) | 2.25229 | + | 1.44746i | 0.155794 | + | 0.100123i | ||||
\(210\) | 16.3459 | + | 10.2399i | 1.12797 | + | 0.706619i | ||||
\(211\) | −7.94044 | − | 17.3871i | −0.546643 | − | 1.19698i | −0.958332 | − | 0.285656i | \(-0.907788\pi\) |
0.411689 | − | 0.911324i | \(-0.364939\pi\) | |||||||
\(212\) | −0.649006 | − | 2.67524i | −0.0445739 | − | 0.183736i | ||||
\(213\) | 6.80635 | + | 9.55819i | 0.466364 | + | 0.654916i | ||||
\(214\) | 6.98743 | + | 20.1888i | 0.477651 | + | 1.38008i | ||||
\(215\) | −11.0756 | + | 4.43400i | −0.755349 | + | 0.302396i | ||||
\(216\) | 2.52060 | − | 0.740115i | 0.171505 | − | 0.0503585i | ||||
\(217\) | −9.53712 | − | 16.0865i | −0.647422 | − | 1.09203i | ||||
\(218\) | −23.6656 | + | 15.2089i | −1.60284 | + | 1.03008i | ||||
\(219\) | −4.28365 | − | 2.20837i | −0.289462 | − | 0.149228i | ||||
\(220\) | 10.2395 | − | 1.97350i | 0.690348 | − | 0.133054i | ||||
\(221\) | 0.586248 | − | 2.41655i | 0.0394353 | − | 0.162555i | ||||
\(222\) | 4.59162 | − | 1.83821i | 0.308170 | − | 0.123372i | ||||
\(223\) | 2.20216 | − | 2.54142i | 0.147467 | − | 0.170186i | −0.677210 | − | 0.735790i | \(-0.736811\pi\) |
0.824677 | + | 0.565603i | \(0.191357\pi\) | |||||||
\(224\) | −9.12517 | + | 13.1331i | −0.609701 | + | 0.877493i | ||||
\(225\) | −5.09156 | − | 1.49502i | −0.339438 | − | 0.0996679i | ||||
\(226\) | −1.23543 | + | 1.73492i | −0.0821796 | + | 0.115405i | ||||
\(227\) | −3.99521 | − | 1.59944i | −0.265171 | − | 0.106159i | 0.235267 | − | 0.971931i | \(-0.424404\pi\) |
−0.500438 | + | 0.865772i | \(0.666828\pi\) | |||||||
\(228\) | −7.30092 | + | 3.76389i | −0.483515 | + | 0.249269i | ||||
\(229\) | 3.68005 | + | 6.37403i | 0.243184 | + | 0.421207i | 0.961620 | − | 0.274386i | \(-0.0884747\pi\) |
−0.718435 | + | 0.695594i | \(0.755141\pi\) | |||||||
\(230\) | −1.16618 | − | 34.9438i | −0.0768954 | − | 2.30412i | ||||
\(231\) | 1.75885 | − | 2.07786i | 0.115724 | − | 0.136713i | ||||
\(232\) | −6.39355 | − | 4.10889i | −0.419757 | − | 0.269762i | ||||
\(233\) | 12.2738 | − | 9.65221i | 0.804082 | − | 0.632337i | −0.129144 | − | 0.991626i | \(-0.541223\pi\) |
0.933227 | + | 0.359289i | \(0.116981\pi\) | |||||||
\(234\) | 3.04489 | + | 0.290751i | 0.199050 | + | 0.0190070i | ||||
\(235\) | −11.1171 | + | 10.6001i | −0.725197 | + | 0.691474i | ||||
\(236\) | −39.6112 | + | 3.78241i | −2.57847 | + | 0.246214i | ||||
\(237\) | −1.54750 | + | 1.78591i | −0.100521 | + | 0.116007i | ||||
\(238\) | 10.8664 | − | 2.22487i | 0.704364 | − | 0.144217i | ||||
\(239\) | 26.5273 | − | 7.78911i | 1.71591 | − | 0.503836i | 0.731816 | − | 0.681502i | \(-0.238673\pi\) |
0.984091 | + | 0.177667i | \(0.0568548\pi\) | |||||||
\(240\) | 0.365479 | − | 1.05598i | 0.0235916 | − | 0.0681633i | ||||
\(241\) | −0.685847 | − | 14.3977i | −0.0441793 | − | 0.927438i | −0.906793 | − | 0.421575i | \(-0.861477\pi\) |
0.862614 | − | 0.505862i | \(-0.168826\pi\) | |||||||
\(242\) | 1.07418 | + | 22.5497i | 0.0690507 | + | 1.44955i | ||||
\(243\) | −0.327068 | + | 0.945001i | −0.0209814 | + | 0.0606218i | ||||
\(244\) | −4.50906 | + | 1.32398i | −0.288663 | + | 0.0847592i | ||||
\(245\) | −10.7835 | + | 19.7164i | −0.688934 | + | 1.25963i | ||||
\(246\) | 14.3484 | − | 16.5590i | 0.914822 | − | 1.05576i | ||||
\(247\) | −3.48887 | + | 0.333146i | −0.221991 | + | 0.0211976i | ||||
\(248\) | 13.4388 | − | 12.8139i | 0.853365 | − | 0.813682i | ||||
\(249\) | −4.36467 | − | 0.416775i | −0.276599 | − | 0.0264120i | ||||
\(250\) | 1.75651 | − | 1.38133i | 0.111091 | − | 0.0873632i | ||||
\(251\) | −21.0371 | − | 13.5197i | −1.32785 | − | 0.853358i | −0.331905 | − | 0.943313i | \(-0.607691\pi\) |
−0.995946 | + | 0.0899546i | \(0.971328\pi\) | |||||||
\(252\) | 2.82276 | + | 7.86074i | 0.177817 | + | 0.495180i | ||||
\(253\) | −4.90512 | − | 0.538966i | −0.308382 | − | 0.0338845i | ||||
\(254\) | −8.49474 | − | 14.7133i | −0.533007 | − | 0.923196i | ||||
\(255\) | −5.26793 | + | 2.71581i | −0.329891 | + | 0.170070i | ||||
\(256\) | −12.7012 | − | 5.08480i | −0.793826 | − | 0.317800i | ||||
\(257\) | 10.8832 | − | 15.2833i | 0.678874 | − | 0.953345i | −0.321106 | − | 0.947043i | \(-0.604055\pi\) |
0.999980 | − | 0.00630172i | \(-0.00200591\pi\) | |||||||
\(258\) | −8.09700 | − | 2.37749i | −0.504097 | − | 0.148016i | ||||
\(259\) | 2.45420 | + | 5.21365i | 0.152497 | + | 0.323961i | ||||
\(260\) | −8.93937 | + | 10.3166i | −0.554396 | + | 0.639807i | ||||
\(261\) | 2.68580 | − | 1.07523i | 0.166247 | − | 0.0665551i | ||||
\(262\) | 9.45694 | − | 38.9820i | 0.584252 | − | 2.40832i | ||||
\(263\) | 4.32067 | − | 0.832740i | 0.266424 | − | 0.0513490i | −0.0542897 | − | 0.998525i | \(-0.517289\pi\) |
0.320714 | + | 0.947176i | \(0.396077\pi\) | |||||||
\(264\) | 2.40257 | + | 1.23861i | 0.147868 | + | 0.0762311i | ||||
\(265\) | −2.35511 | + | 1.51354i | −0.144673 | + | 0.0929760i | ||||
\(266\) | −7.97249 | − | 13.4474i | −0.488825 | − | 0.824515i | ||||
\(267\) | −12.7793 | + | 3.75234i | −0.782081 | + | 0.229640i | ||||
\(268\) | −25.6549 | + | 10.2707i | −1.56712 | + | 0.627380i | ||||
\(269\) | −6.46840 | − | 18.6892i | −0.394385 | − | 1.13950i | −0.951123 | − | 0.308813i | \(-0.900068\pi\) |
0.556737 | − | 0.830689i | \(-0.312053\pi\) | |||||||
\(270\) | −4.22881 | − | 5.93853i | −0.257357 | − | 0.361407i | ||||
\(271\) | −3.35276 | − | 13.8202i | −0.203665 | − | 0.839520i | −0.978314 | − | 0.207128i | \(-0.933588\pi\) |
0.774648 | − | 0.632392i | \(-0.217927\pi\) | |||||||
\(272\) | −0.266940 | − | 0.584517i | −0.0161856 | − | 0.0354415i | ||||
\(273\) | −0.128419 | + | 3.56137i | −0.00777229 | + | 0.215544i | ||||
\(274\) | −32.5523 | − | 20.9201i | −1.96655 | − | 1.26383i | ||||
\(275\) | −2.73005 | − | 4.72859i | −0.164628 | − | 0.285145i | ||||
\(276\) | 8.95656 | − | 12.2061i | 0.539122 | − | 0.734720i | ||||
\(277\) | 2.12496 | − | 3.68055i | 0.127677 | − | 0.221143i | −0.795099 | − | 0.606479i | \(-0.792581\pi\) |
0.922776 | + | 0.385337i | \(0.125915\pi\) | |||||||
\(278\) | −2.06666 | + | 43.3845i | −0.123950 | + | 2.60203i | ||||
\(279\) | 1.00593 | + | 6.99643i | 0.0602237 | + | 0.418865i | ||||
\(280\) | −21.4808 | − | 6.03860i | −1.28373 | − | 0.360875i | ||||
\(281\) | 0.294564 | + | 0.0864917i | 0.0175722 | + | 0.00515966i | 0.290507 | − | 0.956873i | \(-0.406176\pi\) |
−0.272935 | + | 0.962033i | \(0.587994\pi\) | |||||||
\(282\) | −10.8162 | + | 1.03282i | −0.644096 | + | 0.0615038i | ||||
\(283\) | 6.42808 | + | 18.5727i | 0.382110 | + | 1.10403i | 0.958065 | + | 0.286552i | \(0.0925092\pi\) |
−0.575955 | + | 0.817482i | \(0.695370\pi\) | |||||||
\(284\) | −29.1171 | − | 22.8979i | −1.72778 | − | 1.35874i | ||||
\(285\) | 6.04560 | + | 5.76447i | 0.358111 | + | 0.341458i | ||||
\(286\) | 2.06102 | + | 2.37855i | 0.121871 | + | 0.140646i | ||||
\(287\) | 20.2472 | + | 15.5473i | 1.19515 | + | 0.917727i | ||||
\(288\) | 5.08491 | − | 3.26788i | 0.299631 | − | 0.192561i | ||||
\(289\) | 4.44544 | − | 12.8443i | 0.261497 | − | 0.755545i | ||||
\(290\) | −4.97243 | + | 20.4966i | −0.291991 | + | 1.20360i | ||||
\(291\) | −12.8339 | − | 10.0927i | −0.752339 | − | 0.591646i | ||||
\(292\) | 14.9391 | + | 2.87927i | 0.874243 | + | 0.168497i | ||||
\(293\) | −8.80366 | + | 19.2773i | −0.514316 | + | 1.12619i | 0.457232 | + | 0.889348i | \(0.348841\pi\) |
−0.971547 | + | 0.236846i | \(0.923886\pi\) | |||||||
\(294\) | −14.6169 | + | 6.24745i | −0.852476 | + | 0.364359i | ||||
\(295\) | 16.8103 | + | 36.8094i | 0.978732 | + | 2.14312i | ||||
\(296\) | −4.49747 | + | 3.53685i | −0.261410 | + | 0.205575i | ||||
\(297\) | −0.914562 | + | 0.471490i | −0.0530683 | + | 0.0273586i | ||||
\(298\) | −11.0179 | + | 19.0836i | −0.638253 | + | 1.10549i | ||||
\(299\) | 5.48345 | − | 3.41466i | 0.317116 | − | 0.197475i | ||||
\(300\) | 16.7518 | 0.967164 | ||||||||
\(301\) | 2.20740 | − | 9.58096i | 0.127232 | − | 0.552237i | ||||
\(302\) | −6.29701 | − | 43.7967i | −0.362352 | − | 2.52021i | ||||
\(303\) | 2.52646 | − | 3.54792i | 0.145141 | − | 0.203823i | ||||
\(304\) | −0.655469 | + | 0.624988i | −0.0375937 | + | 0.0358455i | ||||
\(305\) | 2.77217 | + | 3.89297i | 0.158734 | + | 0.222911i | ||||
\(306\) | −4.11656 | − | 0.793401i | −0.235328 | − | 0.0453557i | ||||
\(307\) | −1.71133 | + | 11.9026i | −0.0976708 | + | 0.679316i | 0.880884 | + | 0.473331i | \(0.156949\pi\) |
−0.978555 | + | 0.205984i | \(0.933960\pi\) | |||||||
\(308\) | −3.47947 | + | 7.85806i | −0.198261 | + | 0.447754i | ||||
\(309\) | 9.23336 | + | 10.6559i | 0.525267 | + | 0.606191i | ||||
\(310\) | −45.8024 | − | 23.6128i | −2.60140 | − | 1.34112i | ||||
\(311\) | −0.553062 | − | 11.6102i | −0.0313612 | − | 0.658354i | −0.958749 | − | 0.284253i | \(-0.908254\pi\) |
0.927388 | − | 0.374101i | \(-0.122049\pi\) | |||||||
\(312\) | −3.47450 | + | 0.669655i | −0.196705 | + | 0.0379118i | ||||
\(313\) | −11.9010 | − | 11.3476i | −0.672684 | − | 0.641403i | 0.274689 | − | 0.961533i | \(-0.411425\pi\) |
−0.947374 | + | 0.320130i | \(0.896273\pi\) | |||||||
\(314\) | 6.70209 | − | 46.6141i | 0.378221 | − | 2.63058i | ||||
\(315\) | 6.61550 | − | 5.32736i | 0.372741 | − | 0.300163i | ||||
\(316\) | 3.09895 | − | 6.78575i | 0.174330 | − | 0.381728i | ||||
\(317\) | 3.94253 | + | 16.2513i | 0.221434 | + | 0.912765i | 0.968699 | + | 0.248238i | \(0.0798516\pi\) |
−0.747265 | + | 0.664527i | \(0.768633\pi\) | |||||||
\(318\) | −1.97129 | − | 0.188235i | −0.110544 | − | 0.0105557i | ||||
\(319\) | 2.76354 | + | 1.10635i | 0.154728 | + | 0.0619439i | ||||
\(320\) | −1.99041 | + | 41.7838i | −0.111267 | + | 2.33579i | ||||
\(321\) | 9.40779 | 0.525092 | ||||||||
\(322\) | 24.1981 | + | 15.6430i | 1.34850 | + | 0.871752i | ||||
\(323\) | 4.80361 | 0.267280 | ||||||||
\(324\) | 0.150208 | − | 3.15326i | 0.00834490 | − | 0.175181i | ||||
\(325\) | 6.63560 | + | 2.65649i | 0.368077 | + | 0.147356i | ||||
\(326\) | 5.48583 | + | 0.523833i | 0.303832 | + | 0.0290124i | ||||
\(327\) | 2.92056 | + | 12.0387i | 0.161508 | + | 0.665743i | ||||
\(328\) | −10.5295 | + | 23.0564i | −0.581395 | + | 1.27308i | ||||
\(329\) | −1.94627 | − | 12.5086i | −0.107301 | − | 0.689623i | ||||
\(330\) | 1.06755 | − | 7.42499i | 0.0587669 | − | 0.408732i | ||||
\(331\) | −19.5059 | − | 18.5988i | −1.07214 | − | 1.02228i | −0.999690 | − | 0.0249106i | \(-0.992070\pi\) |
−0.0724496 | − | 0.997372i | \(-0.523082\pi\) | |||||||
\(332\) | 13.5911 | − | 2.61946i | 0.745907 | − | 0.143762i | ||||
\(333\) | −0.103633 | − | 2.17552i | −0.00567903 | − | 0.119218i | ||||
\(334\) | 44.2892 | + | 22.8327i | 2.42340 | + | 1.24935i | ||||
\(335\) | 18.4036 | + | 21.2389i | 1.00550 | + | 1.16040i | ||||
\(336\) | 0.542814 | + | 0.743928i | 0.0296129 | + | 0.0405846i | ||||
\(337\) | −0.0482969 | + | 0.335912i | −0.00263090 | + | 0.0182983i | −0.991095 | − | 0.133160i | \(-0.957488\pi\) |
0.988464 | + | 0.151458i | \(0.0483968\pi\) | |||||||
\(338\) | 24.9423 | + | 4.80723i | 1.35668 | + | 0.261479i | ||||
\(339\) | 0.544035 | + | 0.763990i | 0.0295479 | + | 0.0414943i | ||||
\(340\) | 13.5410 | − | 12.9113i | 0.734361 | − | 0.700212i | ||||
\(341\) | −4.21873 | + | 5.92438i | −0.228457 | + | 0.320823i | ||||
\(342\) | 0.840904 | + | 5.84862i | 0.0454709 | + | 0.316257i | ||||
\(343\) | −8.27292 | − | 16.5698i | −0.446696 | − | 0.894686i | ||||
\(344\) | 9.76232 | 0.526349 | ||||||||
\(345\) | −14.7095 | − | 4.54758i | −0.791933 | − | 0.244834i | ||||
\(346\) | 3.77613 | − | 6.54044i | 0.203006 | − | 0.351616i | ||||
\(347\) | −18.8162 | + | 9.70043i | −1.01011 | + | 0.520747i | −0.882118 | − | 0.471029i | \(-0.843883\pi\) |
−0.127990 | + | 0.991776i | \(0.540852\pi\) | |||||||
\(348\) | −7.17888 | + | 5.64553i | −0.384828 | + | 0.302632i | ||||
\(349\) | 3.73383 | + | 8.17594i | 0.199867 | + | 0.437648i | 0.982853 | − | 0.184392i | \(-0.0590315\pi\) |
−0.782986 | + | 0.622040i | \(0.786304\pi\) | |||||||
\(350\) | 1.88494 | + | 31.8265i | 0.100755 | + | 1.70120i | ||||
\(351\) | 0.559542 | − | 1.22523i | 0.0298661 | − | 0.0653977i | ||||
\(352\) | 6.10701 | + | 1.17703i | 0.325505 | + | 0.0627359i | ||||
\(353\) | −2.36900 | − | 1.86300i | −0.126089 | − | 0.0991577i | 0.553123 | − | 0.833100i | \(-0.313436\pi\) |
−0.679212 | + | 0.733942i | \(0.737678\pi\) | |||||||
\(354\) | −6.74833 | + | 27.8170i | −0.358670 | + | 1.47846i | ||||
\(355\) | −12.3208 | + | 35.5985i | −0.653919 | + | 1.88937i | ||||
\(356\) | 35.3707 | − | 22.7314i | 1.87465 | − | 1.20476i | ||||
\(357\) | 0.639206 | − | 4.84240i | 0.0338304 | − | 0.256287i | ||||
\(358\) | 30.8727 | + | 35.6291i | 1.63168 | + | 1.88305i | ||||
\(359\) | −12.4006 | − | 11.8239i | −0.654479 | − | 0.624044i | 0.288270 | − | 0.957549i | \(-0.406920\pi\) |
−0.942748 | + | 0.333505i | \(0.891769\pi\) | |||||||
\(360\) | 6.62934 | + | 5.21337i | 0.349397 | + | 0.274769i | ||||
\(361\) | 3.99994 | + | 11.5571i | 0.210523 | + | 0.608266i | ||||
\(362\) | 37.6977 | − | 3.59969i | 1.98134 | − | 0.189195i | ||||
\(363\) | 9.53858 | + | 2.80078i | 0.500646 | + | 0.147003i | ||||
\(364\) | −2.77845 | − | 10.9015i | −0.145630 | − | 0.571392i | ||||
\(365\) | −2.20190 | − | 15.3146i | −0.115253 | − | 0.801602i | ||||
\(366\) | −0.160852 | + | 3.37670i | −0.00840787 | + | 0.176503i | ||||
\(367\) | −6.01992 | + | 10.4268i | −0.314237 | + | 0.544275i | −0.979275 | − | 0.202535i | \(-0.935082\pi\) |
0.665038 | + | 0.746810i | \(0.268415\pi\) | |||||||
\(368\) | 0.568378 | − | 1.56955i | 0.0296288 | − | 0.0818184i | ||||
\(369\) | −4.82429 | − | 8.35592i | −0.251143 | − | 0.434992i | ||||
\(370\) | 13.3576 | + | 8.58442i | 0.694429 | + | 0.446283i | ||||
\(371\) | 0.0831398 | − | 2.30566i | 0.00431640 | − | 0.119704i | ||||
\(372\) | −9.26943 | − | 20.2972i | −0.480598 | − | 1.05236i | ||||
\(373\) | −0.701108 | − | 2.89001i | −0.0363020 | − | 0.149639i | 0.950776 | − | 0.309879i | \(-0.100288\pi\) |
−0.987078 | + | 0.160240i | \(0.948773\pi\) | |||||||
\(374\) | −2.50217 | − | 3.51380i | −0.129384 | − | 0.181695i | ||||
\(375\) | −0.321844 | − | 0.929906i | −0.0166199 | − | 0.0480201i | ||||
\(376\) | 11.6691 | − | 4.67160i | 0.601788 | − | 0.240919i | ||||
\(377\) | −3.73891 | + | 1.09784i | −0.192564 | + | 0.0565418i | ||||
\(378\) | 6.00775 | − | 0.0694320i | 0.309005 | − | 0.00357120i | ||||
\(379\) | −4.10679 | + | 2.63928i | −0.210952 | + | 0.135570i | −0.641850 | − | 0.766830i | \(-0.721833\pi\) |
0.430899 | + | 0.902400i | \(0.358197\pi\) | |||||||
\(380\) | −23.4387 | − | 12.0835i | −1.20238 | − | 0.619870i | ||||
\(381\) | −7.34629 | + | 1.41588i | −0.376362 | + | 0.0725378i | ||||
\(382\) | −13.3196 | + | 54.9042i | −0.681490 | + | 2.80914i | ||||
\(383\) | −6.21183 | + | 2.48684i | −0.317410 | + | 0.127072i | −0.524896 | − | 0.851166i | \(-0.675896\pi\) |
0.207487 | + | 0.978238i | \(0.433472\pi\) | |||||||
\(384\) | −11.4604 | + | 13.2260i | −0.584835 | + | 0.674935i | ||||
\(385\) | 8.70915 | + | 0.730165i | 0.443859 | + | 0.0372126i | ||||
\(386\) | 54.7035 | + | 16.0624i | 2.78434 | + | 0.817555i | ||||
\(387\) | −2.15557 | + | 3.02707i | −0.109574 | + | 0.153875i | ||||
\(388\) | 47.8498 | + | 19.1562i | 2.42920 | + | 0.972507i | ||||
\(389\) | −10.6918 | + | 5.51198i | −0.542093 | + | 0.279469i | −0.707448 | − | 0.706766i | \(-0.750154\pi\) |
0.165354 | + | 0.986234i | \(0.447123\pi\) | |||||||
\(390\) | 4.90985 | + | 8.50410i | 0.248620 | + | 0.430622i | ||||
\(391\) | −7.92648 | + | 3.94455i | −0.400860 | + | 0.199485i | ||||
\(392\) | 14.1882 | − | 11.6984i | 0.716614 | − | 0.590859i | ||||
\(393\) | −14.8600 | − | 9.54992i | −0.749586 | − | 0.481730i | ||||
\(394\) | −42.7001 | + | 33.5797i | −2.15120 | + | 1.69172i | ||||
\(395\) | −7.55206 | − | 0.721135i | −0.379985 | − | 0.0362842i | ||||
\(396\) | 2.35084 | − | 2.24152i | 0.118134 | − | 0.112641i | ||||
\(397\) | −17.1587 | + | 1.63846i | −0.861171 | + | 0.0822318i | −0.516289 | − | 0.856414i | \(-0.672687\pi\) |
−0.344882 | + | 0.938646i | \(0.612081\pi\) | |||||||
\(398\) | 4.00231 | − | 4.61891i | 0.200618 | − | 0.231525i | ||||
\(399\) | −6.74429 | + | 1.38088i | −0.337637 | + | 0.0691302i | ||||
\(400\) | 1.77223 | − | 0.520373i | 0.0886114 | − | 0.0260187i | ||||
\(401\) | 6.11602 | − | 17.6711i | 0.305419 | − | 0.882451i | −0.682962 | − | 0.730454i | \(-0.739308\pi\) |
0.988381 | − | 0.151997i | \(-0.0485704\pi\) | |||||||
\(402\) | 0.945870 | + | 19.8562i | 0.0471757 | + | 0.990340i | ||||
\(403\) | −0.453014 | − | 9.50994i | −0.0225662 | − | 0.473724i | ||||
\(404\) | −4.49709 | + | 12.9935i | −0.223739 | + | 0.646451i | ||||
\(405\) | −3.08033 | + | 0.904467i | −0.153063 | + | 0.0449433i | ||||
\(406\) | −11.5337 | − | 13.0038i | −0.572407 | − | 0.645370i | ||||
\(407\) | 1.46756 | − | 1.69365i | 0.0727442 | − | 0.0839512i | ||||
\(408\) | 4.82785 | − | 0.461004i | 0.239014 | − | 0.0228231i | ||||
\(409\) | 7.15324 | − | 6.82060i | 0.353705 | − | 0.337257i | −0.492306 | − | 0.870422i | \(-0.663846\pi\) |
0.846011 | + | 0.533165i | \(0.178998\pi\) | |||||||
\(410\) | 70.0229 | + | 6.68638i | 3.45819 | + | 0.330217i | ||||
\(411\) | −13.3941 | + | 10.5333i | −0.660684 | + | 0.519568i | ||||
\(412\) | −37.4446 | − | 24.0642i | −1.84476 | − | 1.18556i | ||||
\(413\) | −32.8173 | − | 5.93253i | −1.61483 | − | 0.291921i | ||||
\(414\) | −6.19026 | − | 8.96035i | −0.304235 | − | 0.440377i | ||||
\(415\) | −7.03798 | − | 12.1901i | −0.345481 | − | 0.598390i | ||||
\(416\) | −7.23650 | + | 3.73068i | −0.354799 | + | 0.182911i | ||||
\(417\) | 17.7564 | + | 7.10860i | 0.869535 | + | 0.348109i | ||||
\(418\) | −3.52662 | + | 4.95244i | −0.172493 | + | 0.242232i | ||||
\(419\) | 24.2543 | + | 7.12171i | 1.18490 | + | 0.347918i | 0.814062 | − | 0.580778i | \(-0.197252\pi\) |
0.370840 | + | 0.928697i | \(0.379070\pi\) | |||||||
\(420\) | −15.3000 | + | 22.0201i | −0.746564 | + | 1.07447i | ||||
\(421\) | 2.99976 | − | 3.46191i | 0.146199 | − | 0.168723i | −0.677927 | − | 0.735130i | \(-0.737121\pi\) |
0.824126 | + | 0.566407i | \(0.191667\pi\) | |||||||
\(422\) | 40.2971 | − | 16.1325i | 1.96163 | − | 0.785320i | ||||
\(423\) | −1.12804 | + | 4.64983i | −0.0548470 | + | 0.226082i | ||||
\(424\) | 2.24942 | − | 0.433541i | 0.109242 | − | 0.0210546i | ||||
\(425\) | −8.70750 | − | 4.48903i | −0.422376 | − | 0.217750i | ||||
\(426\) | −22.4162 | + | 14.4060i | −1.08607 | + | 0.697974i | ||||
\(427\) | −3.93834 | + | 0.0455157i | −0.190590 | + | 0.00220266i | ||||
\(428\) | −28.4958 | + | 8.36713i | −1.37740 | + | 0.404440i | ||||
\(429\) | 1.28666 | − | 0.515099i | 0.0621203 | − | 0.0248692i | ||||
\(430\) | −8.86087 | − | 25.6018i | −0.427309 | − | 1.23463i | ||||
\(431\) | 5.05131 | + | 7.09357i | 0.243313 | + | 0.341685i | 0.918115 | − | 0.396313i | \(-0.129711\pi\) |
−0.674802 | + | 0.737998i | \(0.735771\pi\) | |||||||
\(432\) | −0.0820610 | − | 0.338260i | −0.00394816 | − | 0.0162745i | ||||
\(433\) | 0.659342 | + | 1.44376i | 0.0316860 | + | 0.0693826i | 0.924813 | − | 0.380422i | \(-0.124221\pi\) |
−0.893127 | + | 0.449804i | \(0.851494\pi\) | |||||||
\(434\) | 37.5195 | − | 19.8948i | 1.80099 | − | 0.954981i | ||||
\(435\) | 7.81333 | + | 5.02132i | 0.374620 | + | 0.240754i | ||||
\(436\) | −19.5533 | − | 33.8673i | −0.936434 | − | 1.62195i | ||||
\(437\) | 8.90771 | + | 8.73900i | 0.426114 | + | 0.418043i | ||||
\(438\) | 5.47210 | − | 9.47795i | 0.261467 | − | 0.452874i | ||||
\(439\) | 1.09469 | − | 22.9803i | 0.0522466 | − | 1.09679i | −0.808741 | − | 0.588165i | \(-0.799851\pi\) |
0.860988 | − | 0.508626i | \(-0.169846\pi\) | |||||||
\(440\) | 1.23498 | + | 8.58948i | 0.0588754 | + | 0.409487i | ||||
\(441\) | 0.494579 | + | 6.98251i | 0.0235514 | + | 0.332500i | ||||
\(442\) | 5.41809 | + | 1.59090i | 0.257712 | + | 0.0756712i | ||||
\(443\) | 8.69270 | − | 0.830052i | 0.413003 | − | 0.0394370i | 0.113513 | − | 0.993537i | \(-0.463790\pi\) |
0.299490 | + | 0.954100i | \(0.403184\pi\) | |||||||
\(444\) | 2.24877 | + | 6.49738i | 0.106722 | + | 0.308352i | ||||
\(445\) | −33.6104 | − | 26.4315i | −1.59328 | − | 1.25297i | ||||
\(446\) | 5.52675 | + | 5.26974i | 0.261699 | + | 0.249530i | ||||
\(447\) | 6.35460 | + | 7.33360i | 0.300562 | + | 0.346867i | ||||
\(448\) | −27.3429 | − | 20.9959i | −1.29183 | − | 0.991963i | ||||
\(449\) | 20.9776 | − | 13.4815i | 0.989996 | − | 0.636232i | 0.0578544 | − | 0.998325i | \(-0.481574\pi\) |
0.932142 | + | 0.362093i | \(0.117938\pi\) | |||||||
\(450\) | 3.94129 | − | 11.3876i | 0.185794 | − | 0.536818i | ||||
\(451\) | 2.34058 | − | 9.64801i | 0.110214 | − | 0.454307i | ||||
\(452\) | −2.32734 | − | 1.83024i | −0.109469 | − | 0.0860873i | ||||
\(453\) | −19.1325 | − | 3.68749i | −0.898925 | − | 0.173254i | ||||
\(454\) | 4.05969 | − | 8.88949i | 0.190531 | − | 0.417204i | ||||
\(455\) | −9.55247 | + | 6.29616i | −0.447827 | + | 0.295169i | ||||
\(456\) | −2.83955 | − | 6.21774i | −0.132974 | − | 0.291172i | ||||
\(457\) | −23.6801 | + | 18.6223i | −1.10771 | + | 0.871113i | −0.992502 | − | 0.122229i | \(-0.960996\pi\) |
−0.115208 | + | 0.993341i | \(0.536753\pi\) | |||||||
\(458\) | −14.8558 | + | 7.65870i | −0.694166 | + | 0.357867i | ||||
\(459\) | −0.923066 | + | 1.59880i | −0.0430850 | + | 0.0746255i | ||||
\(460\) | 48.5990 | + | 0.692064i | 2.26594 | + | 0.0322677i | ||||
\(461\) | −5.22520 | −0.243362 | −0.121681 | − | 0.992569i | \(-0.538828\pi\) | ||||
−0.121681 | + | 0.992569i | \(0.538828\pi\) | |||||||
\(462\) | 4.52316 | + | 4.21411i | 0.210436 | + | 0.196058i | ||||
\(463\) | 1.25238 | + | 8.71049i | 0.0582030 | + | 0.404811i | 0.998007 | + | 0.0630978i | \(0.0200980\pi\) |
−0.939804 | + | 0.341713i | \(0.888993\pi\) | |||||||
\(464\) | −0.584107 | + | 0.820263i | −0.0271165 | + | 0.0380798i | ||||
\(465\) | −16.4231 | + | 15.6594i | −0.761602 | + | 0.726186i | ||||
\(466\) | 20.5678 | + | 28.8835i | 0.952787 | + | 1.33800i | ||||
\(467\) | 8.35578 | + | 1.61044i | 0.386659 | + | 0.0745225i | 0.378877 | − | 0.925447i | \(-0.376310\pi\) |
0.00778289 | + | 0.999970i | \(0.497523\pi\) | |||||||
\(468\) | −0.605135 | + | 4.20881i | −0.0279724 | + | 0.194552i | ||||
\(469\) | −23.0286 | + | 2.46783i | −1.06336 | + | 0.113954i | ||||
\(470\) | −22.8429 | − | 26.3621i | −1.05366 | − | 1.21599i | ||||
\(471\) | −18.4327 | − | 9.50274i | −0.849336 | − | 0.437863i | ||||
\(472\) | −1.57558 | − | 33.0755i | −0.0725220 | − | 1.52242i | ||||
\(473\) | −3.75459 | + | 0.723638i | −0.172636 | + | 0.0332729i | ||||
\(474\) | −3.88375 | − | 3.70315i | −0.178387 | − | 0.170091i | ||||
\(475\) | −1.96501 | + | 13.6669i | −0.0901607 | + | 0.627082i | ||||
\(476\) | 2.37062 | + | 15.2359i | 0.108657 | + | 0.698338i | ||||
\(477\) | −0.362252 | + | 0.793222i | −0.0165864 | + | 0.0363191i | ||||
\(478\) | 14.8017 | + | 61.0133i | 0.677012 | + | 2.79068i | ||||
\(479\) | −36.7662 | − | 3.51075i | −1.67989 | − | 0.160410i | −0.788928 | − | 0.614486i | \(-0.789363\pi\) |
−0.890963 | + | 0.454076i | \(0.849969\pi\) | |||||||
\(480\) | 18.0149 | + | 7.21209i | 0.822266 | + | 0.329186i | ||||
\(481\) | −0.139588 | + | 2.93031i | −0.00636465 | + | 0.133610i | ||||
\(482\) | 32.7323 | 1.49092 | ||||||||
\(483\) | 9.99490 | − | 7.81677i | 0.454784 | − | 0.355675i | ||||
\(484\) | −31.3829 | −1.42650 | ||||||||
\(485\) | 2.49405 | − | 52.3567i | 0.113249 | − | 2.37739i | ||||
\(486\) | −2.10820 | − | 0.843996i | −0.0956299 | − | 0.0382844i | ||||
\(487\) | 18.6156 | + | 1.77758i | 0.843554 | + | 0.0805496i | 0.507879 | − | 0.861428i | \(-0.330430\pi\) |
0.335675 | + | 0.941978i | \(0.391036\pi\) | |||||||
\(488\) | −0.921984 | − | 3.80047i | −0.0417363 | − | 0.172039i | ||||
\(489\) | 1.00810 | − | 2.20743i | 0.0455879 | − | 0.0998235i | ||||
\(490\) | −43.5573 | − | 26.5906i | −1.96772 | − | 1.20124i | ||||
\(491\) | −3.17497 | + | 22.0824i | −0.143284 | + | 0.996563i | 0.783613 | + | 0.621249i | \(0.213374\pi\) |
−0.926898 | + | 0.375315i | \(0.877535\pi\) | |||||||
\(492\) | 22.0442 | + | 21.0191i | 0.993829 | + | 0.947614i | ||||
\(493\) | 5.24440 | − | 1.01078i | 0.236196 | − | 0.0455230i | ||||
\(494\) | −0.378694 | − | 7.94977i | −0.0170383 | − | 0.357677i | ||||
\(495\) | −2.93609 | − | 1.51366i | −0.131967 | − | 0.0680339i | ||||
\(496\) | −1.61115 | − | 1.85937i | −0.0723429 | − | 0.0834882i | ||||
\(497\) | −18.2990 | − | 25.0788i | −0.820821 | − | 1.12494i | ||||
\(498\) | 1.41698 | − | 9.85531i | 0.0634964 | − | 0.441627i | ||||
\(499\) | 16.4858 | + | 3.17738i | 0.738006 | + | 0.142239i | 0.544383 | − | 0.838837i | \(-0.316764\pi\) |
0.193623 | + | 0.981076i | \(0.437976\pi\) | |||||||
\(500\) | 1.80189 | + | 2.53040i | 0.0805831 | + | 0.113163i | ||||
\(501\) | 15.8805 | − | 15.1420i | 0.709488 | − | 0.676495i | ||||
\(502\) | 32.9398 | − | 46.2575i | 1.47018 | − | 2.06457i | ||||
\(503\) | 2.14924 | + | 14.9483i | 0.0958300 | + | 0.666512i | 0.979949 | + | 0.199250i | \(0.0638505\pi\) |
−0.884119 | + | 0.467262i | \(0.845240\pi\) | |||||||
\(504\) | −6.64581 | + | 2.03510i | −0.296028 | + | 0.0906504i | ||||
\(505\) | 13.9829 | 0.622232 | ||||||||
\(506\) | 1.75254 | − | 11.0680i | 0.0779100 | − | 0.492034i | ||||
\(507\) | 5.59287 | − | 9.68713i | 0.248388 | − | 0.430221i | ||||
\(508\) | 20.9924 | − | 10.8223i | 0.931386 | − | 0.480163i | ||||
\(509\) | −32.5338 | + | 25.5849i | −1.44204 | + | 1.13403i | −0.474817 | + | 0.880084i | \(0.657486\pi\) |
−0.967219 | + | 0.253945i | \(0.918272\pi\) | |||||||
\(510\) | −5.59104 | − | 12.2427i | −0.247575 | − | 0.542114i | ||||
\(511\) | 11.4002 | + | 5.71144i | 0.504316 | + | 0.252659i | ||||
\(512\) | −1.63369 | + | 3.57729i | −0.0721997 | + | 0.158095i | ||||
\(513\) | 2.55496 | + | 0.492429i | 0.112804 | + | 0.0217413i | ||||
\(514\) | 33.4910 | + | 26.3376i | 1.47723 | + | 1.16170i | ||||
\(515\) | −10.6717 | + | 43.9895i | −0.470253 | + | 1.93841i | ||||
\(516\) | 3.83690 | − | 11.0860i | 0.168910 | − | 0.488034i | ||||
\(517\) | −4.14165 | + | 2.66168i | −0.182150 | + | 0.117060i | ||||
\(518\) | −12.0913 | + | 5.00351i | −0.531260 | + | 0.219841i | ||||
\(519\) | −2.17788 | − | 2.51341i | −0.0955983 | − | 0.110326i | ||||
\(520\) | −8.22143 | − | 7.83912i | −0.360534 | − | 0.343768i | ||||
\(521\) | −8.46664 | − | 6.65824i | −0.370930 | − | 0.291703i | 0.415241 | − | 0.909711i | \(-0.363697\pi\) |
−0.786171 | + | 0.618009i | \(0.787940\pi\) | |||||||
\(522\) | 2.14873 | + | 6.20836i | 0.0940475 | + | 0.271732i | ||||
\(523\) | 30.5851 | − | 2.92052i | 1.33739 | − | 0.127706i | 0.598280 | − | 0.801287i | \(-0.295851\pi\) |
0.739113 | + | 0.673581i | \(0.235245\pi\) | |||||||
\(524\) | 53.5038 | + | 15.7101i | 2.33732 | + | 0.686300i | ||||
\(525\) | 13.5158 | + | 3.79951i | 0.589879 | + | 0.165824i | ||||
\(526\) | 1.42204 | + | 9.89052i | 0.0620040 | + | 0.431247i | ||||
\(527\) | −0.620903 | + | 13.0344i | −0.0270470 | + | 0.567786i | ||||
\(528\) | 0.179073 | − | 0.310164i | 0.00779315 | − | 0.0134981i | ||||
\(529\) | −21.8749 | − | 7.10561i | −0.951082 | − | 0.308940i | ||||
\(530\) | −3.17868 | − | 5.50563i | −0.138073 | − | 0.239149i | ||||
\(531\) | 10.6039 | + | 6.81468i | 0.460168 | + | 0.295732i | ||||
\(532\) | 19.2001 | − | 10.1809i | 0.832428 | − | 0.441397i | ||||
\(533\) | 5.39879 | + | 11.8217i | 0.233848 | + | 0.512055i | ||||
\(534\) | −7.13059 | − | 29.3927i | −0.308571 | − | 1.27195i | ||||
\(535\) | 17.5192 | + | 24.6023i | 0.757421 | + | 1.06365i | ||||
\(536\) | −7.52139 | − | 21.7316i | −0.324875 | − | 0.938663i | ||||
\(537\) | 19.2733 | − | 7.71585i | 0.831702 | − | 0.332963i | ||||
\(538\) | 43.0916 | − | 12.6528i | 1.85781 | − | 0.545502i | ||||
\(539\) | −4.58964 | + | 5.55092i | −0.197690 | + | 0.239095i | ||||
\(540\) | 8.52579 | − | 5.47919i | 0.366891 | − | 0.235787i | ||||
\(541\) | 17.4847 | + | 9.01397i | 0.751724 | + | 0.387541i | 0.791103 | − | 0.611684i | \(-0.209507\pi\) |
−0.0393783 | + | 0.999224i | \(0.512538\pi\) | |||||||
\(542\) | 31.7107 | − | 6.11173i | 1.36209 | − | 0.262521i | ||||
\(543\) | 3.93153 | − | 16.2060i | 0.168718 | − | 0.695466i | ||||
\(544\) | 10.3595 | − | 4.14733i | 0.444161 | − | 0.177815i | ||||
\(545\) | −26.0437 | + | 30.0561i | −1.11559 | + | 1.28746i | ||||
\(546\) | −8.06436 | − | 0.676107i | −0.345123 | − | 0.0289347i | ||||
\(547\) | −25.8296 | − | 7.58424i | −1.10439 | − | 0.324279i | −0.321796 | − | 0.946809i | \(-0.604287\pi\) |
−0.782596 | + | 0.622530i | \(0.786105\pi\) | |||||||
\(548\) | 31.2022 | − | 43.8173i | 1.33289 | − | 1.87178i | ||||
\(549\) | 1.38202 | + | 0.553276i | 0.0589830 | + | 0.0236132i | ||||
\(550\) | 11.0208 | − | 5.68163i | 0.469930 | − | 0.242265i | ||||
\(551\) | −3.76381 | − | 6.51911i | −0.160344 | − | 0.277723i | ||||
\(552\) | 9.79136 | + | 7.92823i | 0.416748 | + | 0.337448i | ||||
\(553\) | 4.03941 | − | 4.77206i | 0.171773 | − | 0.202929i | ||||
\(554\) | 8.11895 | + | 5.21773i | 0.344941 | + | 0.221680i | ||||
\(555\) | 5.49620 | − | 4.32226i | 0.233301 | − | 0.183470i | ||||
\(556\) | −60.1057 | − | 5.73940i | −2.54905 | − | 0.243405i | ||||
\(557\) | −17.8066 | + | 16.9786i | −0.754490 | + | 0.719405i | −0.966162 | − | 0.257936i | \(-0.916958\pi\) |
0.211672 | + | 0.977341i | \(0.432109\pi\) | |||||||
\(558\) | −15.9786 | + | 1.52578i | −0.676430 | + | 0.0645912i | ||||
\(559\) | 3.27786 | − | 3.78285i | 0.138639 | − | 0.159998i | ||||
\(560\) | −0.934615 | + | 2.80485i | −0.0394947 | + | 0.118527i | ||||
\(561\) | −1.82262 | + | 0.535170i | −0.0769511 | + | 0.0225949i | ||||
\(562\) | −0.228017 | + | 0.658811i | −0.00961831 | + | 0.0277903i | ||||
\(563\) | −0.758763 | − | 15.9284i | −0.0319780 | − | 0.671302i | −0.956773 | − | 0.290836i | \(-0.906067\pi\) |
0.924795 | − | 0.380466i | \(-0.124236\pi\) | |||||||
\(564\) | −0.718701 | − | 15.0874i | −0.0302628 | − | 0.635294i | ||||
\(565\) | −0.984805 | + | 2.84541i | −0.0414311 | + | 0.119707i | ||||
\(566\) | −42.8230 | + | 12.5740i | −1.79998 | + | 0.528523i | ||||
\(567\) | 0.836389 | − | 2.51007i | 0.0351250 | − | 0.105413i | ||||
\(568\) | 20.1862 | − | 23.2961i | 0.846995 | − | 0.977485i | ||||
\(569\) | 12.0986 | − | 1.15528i | 0.507201 | − | 0.0484318i | 0.161681 | − | 0.986843i | \(-0.448309\pi\) |
0.345520 | + | 0.938411i | \(0.387703\pi\) | |||||||
\(570\) | −13.7288 | + | 13.0903i | −0.575034 | + | 0.548294i | ||||
\(571\) | 7.62190 | + | 0.727803i | 0.318966 | + | 0.0304576i | 0.253311 | − | 0.967385i | \(-0.418480\pi\) |
0.0656550 | + | 0.997842i | \(0.479086\pi\) | |||||||
\(572\) | −3.43911 | + | 2.70454i | −0.143796 | + | 0.113083i | ||||
\(573\) | 20.9295 | + | 13.4506i | 0.874342 | + | 0.561905i | ||||
\(574\) | −37.4535 | + | 44.2467i | −1.56328 | + | 1.84682i | ||||
\(575\) | −7.98032 | − | 24.1655i | −0.332802 | − | 1.00777i | ||||
\(576\) | 6.51500 | + | 11.2843i | 0.271458 | + | 0.470179i | ||||
\(577\) | 7.87986 | − | 4.06235i | 0.328043 | − | 0.169118i | −0.286335 | − | 0.958129i | \(-0.592437\pi\) |
0.614378 | + | 0.789012i | \(0.289407\pi\) | |||||||
\(578\) | 28.6542 | + | 11.4714i | 1.19186 | + | 0.477148i | ||||
\(579\) | 14.5631 | − | 20.4510i | 0.605220 | − | 0.849913i | ||||
\(580\) | −28.1321 | − | 8.26033i | −1.16812 | − | 0.342992i | ||||
\(581\) | 11.5598 | + | 0.969159i | 0.479581 | + | 0.0402075i | ||||
\(582\) | 24.2800 | − | 28.0206i | 1.00644 | − | 1.16149i | ||||
\(583\) | −0.832992 | + | 0.333480i | −0.0344990 | + | 0.0138113i | ||||
\(584\) | −2.98485 | + | 12.3037i | −0.123514 | + | 0.509132i | ||||
\(585\) | 4.24606 | − | 0.818361i | 0.175553 | − | 0.0338351i | ||||
\(586\) | −42.7754 | − | 22.0523i | −1.76704 | − | 0.910970i | ||||
\(587\) | −17.6078 | + | 11.3159i | −0.726752 | + | 0.467055i | −0.850980 | − | 0.525199i | \(-0.823991\pi\) |
0.124228 | + | 0.992254i | \(0.460355\pi\) | |||||||
\(588\) | −7.70818 | − | 20.7099i | −0.317880 | − | 0.854060i | ||||
\(589\) | 17.6468 | − | 5.18157i | 0.727124 | − | 0.213503i | ||||
\(590\) | −85.3109 | + | 34.1533i | −3.51219 | + | 1.40607i | ||||
\(591\) | 7.82390 | + | 22.6057i | 0.321832 | + | 0.929874i | ||||
\(592\) | 0.439738 | + | 0.617525i | 0.0180731 | + | 0.0253801i | ||||
\(593\) | 9.14469 | + | 37.6949i | 0.375527 | + | 1.54794i | 0.775458 | + | 0.631399i | \(0.217519\pi\) |
−0.399931 | + | 0.916545i | \(0.630966\pi\) | |||||||
\(594\) | −0.970656 | − | 2.12544i | −0.0398265 | − | 0.0872079i | ||||
\(595\) | 13.8537 | − | 7.34594i | 0.567945 | − | 0.301154i | ||||
\(596\) | −25.7702 | − | 16.5615i | −1.05559 | − | 0.678385i | ||||
\(597\) | −1.34567 | − | 2.33078i | −0.0550748 | − | 0.0953924i | ||||
\(598\) | 7.15296 | + | 12.8070i | 0.292506 | + | 0.523719i | ||||
\(599\) | 5.88803 | − | 10.1984i | 0.240578 | − | 0.416694i | −0.720301 | − | 0.693662i | \(-0.755996\pi\) |
0.960879 | + | 0.276968i | \(0.0893295\pi\) | |||||||
\(600\) | −0.663305 | + | 13.9245i | −0.0270793 | + | 0.568465i | ||||
\(601\) | −2.77397 | − | 19.2934i | −0.113153 | − | 0.786995i | −0.964820 | − | 0.262912i | \(-0.915317\pi\) |
0.851667 | − | 0.524083i | \(-0.175592\pi\) | |||||||
\(602\) | 21.4939 | + | 6.04227i | 0.876026 | + | 0.246265i | ||||
\(603\) | 8.39923 | + | 2.46624i | 0.342043 | + | 0.100433i | ||||
\(604\) | 61.2313 | − | 5.84688i | 2.49147 | − | 0.237906i | ||||
\(605\) | 10.4384 | + | 30.1599i | 0.424383 | + | 1.22617i | ||||
\(606\) | 7.77474 | + | 6.11412i | 0.315827 | + | 0.248369i | ||||
\(607\) | −6.88191 | − | 6.56189i | −0.279328 | − | 0.266339i | 0.537444 | − | 0.843300i | \(-0.319390\pi\) |
−0.816772 | + | 0.576961i | \(0.804239\pi\) | |||||||
\(608\) | −10.2994 | − | 11.8861i | −0.417694 | − | 0.482045i | ||||
\(609\) | −7.07260 | + | 2.92672i | −0.286596 | + | 0.118597i | ||||
\(610\) | −9.12993 | + | 5.86745i | −0.369660 | + | 0.237566i | ||||
\(611\) | 2.10787 | − | 6.09028i | 0.0852752 | − | 0.246387i | ||||
\(612\) | 1.37399 | − | 5.66365i | 0.0555401 | − | 0.228939i | ||||
\(613\) | −12.0271 | − | 9.45823i | −0.485771 | − | 0.382014i | 0.345023 | − | 0.938594i | \(-0.387871\pi\) |
−0.830794 | + | 0.556580i | \(0.812113\pi\) | |||||||
\(614\) | −26.8136 | − | 5.16790i | −1.08211 | − | 0.208559i | ||||
\(615\) | 12.8677 | − | 28.1764i | 0.518877 | − | 1.13618i | ||||
\(616\) | −6.39404 | − | 3.20337i | −0.257623 | − | 0.129068i | ||||
\(617\) | −1.31267 | − | 2.87434i | −0.0528460 | − | 0.115717i | 0.881367 | − | 0.472432i | \(-0.156624\pi\) |
−0.934213 | + | 0.356716i | \(0.883897\pi\) | |||||||
\(618\) | −25.1683 | + | 19.7926i | −1.01242 | + | 0.796175i | ||||
\(619\) | 19.9916 | − | 10.3064i | 0.803532 | − | 0.414249i | −0.00697726 | − | 0.999976i | \(-0.502221\pi\) |
0.810509 | + | 0.585726i | \(0.199191\pi\) | |||||||
\(620\) | 35.8176 | − | 62.0380i | 1.43847 | − | 2.49150i | ||||
\(621\) | −4.62034 | + | 1.28548i | −0.185408 | + | 0.0515847i | ||||
\(622\) | 26.3951 | 1.05835 | ||||||||
\(623\) | 33.6939 | − | 10.3178i | 1.34992 | − | 0.413375i | ||||
\(624\) | 0.0667220 | + | 0.464062i | 0.00267102 | + | 0.0185773i | ||||
\(625\) | −13.5579 | + | 19.0395i | −0.542318 | + | 0.761579i | ||||
\(626\) | 27.0256 | − | 25.7688i | 1.08016 | − | 1.02993i | ||||
\(627\) | 1.55298 | + | 2.18086i | 0.0620202 | + | 0.0870952i | ||||
\(628\) | 64.2836 | + | 12.3896i | 2.56519 | + | 0.494401i | ||||
\(629\) | 0.572226 | − | 3.97992i | 0.0228161 | − | 0.158690i | ||||
\(630\) | 11.3692 | + | 15.5815i | 0.452960 | + | 0.620783i | ||||
\(631\) | 31.5761 | + | 36.4408i | 1.25703 | + | 1.45069i | 0.840729 | + | 0.541457i | \(0.182127\pi\) |
0.416297 | + | 0.909229i | \(0.363328\pi\) | |||||||
\(632\) | 5.51778 | + | 2.84461i | 0.219485 | + | 0.113153i | ||||
\(633\) | −0.909504 | − | 19.0928i | −0.0361495 | − | 0.758872i | ||||
\(634\) | −37.2888 | + | 7.18682i | −1.48093 | + | 0.285425i | ||||
\(635\) | −17.3829 | − | 16.5746i | −0.689821 | − | 0.657743i | ||||
\(636\) | 0.391770 | − | 2.72482i | 0.0155347 | − | 0.108046i | ||||
\(637\) | 0.230854 | − | 9.42580i | 0.00914675 | − | 0.373464i | ||||
\(638\) | −2.80814 | + | 6.14897i | −0.111175 | + | 0.243440i | ||||
\(639\) | 2.76638 | + | 11.4032i | 0.109436 | + | 0.451103i | ||||
\(640\) | −55.9287 | − | 5.34054i | −2.21078 | − | 0.211103i | ||||
\(641\) | −44.6218 | − | 17.8639i | −1.76246 | − | 0.705581i | −0.998155 | − | 0.0607233i | \(-0.980659\pi\) |
−0.764302 | − | 0.644858i | \(-0.776916\pi\) | |||||||
\(642\) | −1.01653 | + | 21.3396i | −0.0401193 | + | 0.842208i | ||||
\(643\) | 33.9747 | 1.33983 | 0.669916 | − | 0.742437i | \(-0.266330\pi\) | ||||
0.669916 | + | 0.742437i | \(0.266330\pi\) | |||||||
\(644\) | −23.3220 | + | 32.5660i | −0.919017 | + | 1.28328i | ||||
\(645\) | −11.9302 | −0.469750 | ||||||||
\(646\) | −0.519040 | + | 10.8960i | −0.0204214 | + | 0.428697i | ||||
\(647\) | −13.9322 | − | 5.57763i | −0.547733 | − | 0.219279i | 0.0812562 | − | 0.996693i | \(-0.474107\pi\) |
−0.628989 | + | 0.777414i | \(0.716531\pi\) | |||||||
\(648\) | 2.61512 | + | 0.249713i | 0.102732 | + | 0.00980967i | ||||
\(649\) | 3.05771 | + | 12.6041i | 0.120026 | + | 0.494753i | ||||
\(650\) | −6.74270 | + | 14.7644i | −0.264470 | + | 0.579109i | ||||
\(651\) | −2.87519 | − | 18.4788i | −0.112688 | − | 0.724242i | ||||
\(652\) | −1.09024 | + | 7.58281i | −0.0426972 | + | 0.296966i | ||||
\(653\) | 4.35633 | + | 4.15376i | 0.170477 | + | 0.162549i | 0.770514 | − | 0.637422i | \(-0.219999\pi\) |
−0.600038 | + | 0.799972i | \(0.704848\pi\) | |||||||
\(654\) | −27.6230 | + | 5.32389i | −1.08014 | + | 0.208181i | ||||
\(655\) | −2.69829 | − | 56.6441i | −0.105431 | − | 2.21327i | ||||
\(656\) | 2.98506 | + | 1.53891i | 0.116547 | + | 0.0600842i | ||||
\(657\) | −3.15603 | − | 3.64225i | −0.123128 | − | 0.142098i | ||||
\(658\) | 28.5835 | − | 3.06312i | 1.11430 | − | 0.119413i | ||||
\(659\) | −1.31682 | + | 9.15866i | −0.0512959 | + | 0.356771i | 0.947967 | + | 0.318370i | \(0.103135\pi\) |
−0.999262 | + | 0.0384008i | \(0.987774\pi\) | |||||||
\(660\) | 10.2395 | + | 1.97350i | 0.398572 | + | 0.0768185i | ||||
\(661\) | −0.0286846 | − | 0.0402818i | −0.00111570 | − | 0.00156678i | 0.814018 | − | 0.580840i | \(-0.197276\pi\) |
−0.815133 | + | 0.579273i | \(0.803336\pi\) | |||||||
\(662\) | 44.2952 | − | 42.2354i | 1.72158 | − | 1.64153i | ||||
\(663\) | 1.44239 | − | 2.02556i | 0.0560179 | − | 0.0786662i | ||||
\(664\) | 1.63921 | + | 11.4009i | 0.0636136 | + | 0.442443i | ||||
\(665\) | −16.1703 | − | 15.0655i | −0.627059 | − | 0.584215i | ||||
\(666\) | 4.94591 | 0.191650 | ||||||||
\(667\) | 11.5640 | + | 7.66655i | 0.447759 | + | 0.296850i | ||||
\(668\) | −34.6343 | + | 59.9883i | −1.34004 | + | 2.32102i | ||||
\(669\) | 2.98896 | − | 1.54092i | 0.115560 | − | 0.0595753i | ||||
\(670\) | −50.1646 | + | 39.4499i | −1.93803 | + | 1.52408i | ||||
\(671\) | 0.636308 | + | 1.39332i | 0.0245644 | + | 0.0537885i | ||||
\(672\) | −13.3526 | + | 8.80088i | −0.515088 | + | 0.339501i | ||||
\(673\) | −1.74144 | + | 3.81321i | −0.0671274 | + | 0.146988i | −0.940222 | − | 0.340563i | \(-0.889382\pi\) |
0.873094 | + | 0.487551i | \(0.162110\pi\) | |||||||
\(674\) | −0.756729 | − | 0.145848i | −0.0291481 | − | 0.00561784i | ||||
\(675\) | −4.17120 | − | 3.28027i | −0.160550 | − | 0.126258i | ||||
\(676\) | −8.32500 | + | 34.3161i | −0.320192 | + | 1.31985i | ||||
\(677\) | 8.79701 | − | 25.4173i | 0.338097 | − | 0.976866i | −0.639939 | − | 0.768426i | \(-0.721040\pi\) |
0.978035 | − | 0.208440i | \(-0.0668385\pi\) | |||||||
\(678\) | −1.79174 | + | 1.15148i | −0.0688113 | + | 0.0442223i | ||||
\(679\) | 34.2617 | + | 26.3087i | 1.31484 | + | 1.00963i | ||||
\(680\) | 10.1960 | + | 11.7668i | 0.390999 | + | 0.451237i | ||||
\(681\) | −3.11457 | − | 2.96974i | −0.119351 | − | 0.113801i | ||||
\(682\) | −12.9824 | − | 10.2095i | −0.497121 | − | 0.390941i | ||||
\(683\) | −6.24567 | − | 18.0457i | −0.238984 | − | 0.690498i | −0.999168 | − | 0.0407904i | \(-0.987012\pi\) |
0.760184 | − | 0.649708i | \(-0.225109\pi\) | |||||||
\(684\) | −8.17684 | + | 0.780793i | −0.312649 | + | 0.0298544i | ||||
\(685\) | −52.4881 | − | 15.4119i | −2.00547 | − | 0.588858i | ||||
\(686\) | 38.4791 | − | 16.9750i | 1.46914 | − | 0.648109i | ||||
\(687\) | 1.04745 | + | 7.28518i | 0.0399627 | + | 0.277947i | ||||
\(688\) | 0.0615462 | − | 1.29201i | 0.00234643 | − | 0.0492576i | ||||
\(689\) | 0.587286 | − | 1.01721i | 0.0223738 | − | 0.0387526i | ||||
\(690\) | 11.9046 | − | 32.8741i | 0.453202 | − | 1.25150i | ||||
\(691\) | 16.8904 | + | 29.2551i | 0.642542 | + | 1.11292i | 0.984863 | + | 0.173333i | \(0.0554537\pi\) |
−0.342321 | + | 0.939583i | \(0.611213\pi\) | |||||||
\(692\) | 8.83209 | + | 5.67604i | 0.335746 | + | 0.215771i | ||||
\(693\) | 2.40513 | − | 1.27532i | 0.0913632 | − | 0.0484455i | ||||
\(694\) | −19.9703 | − | 43.7289i | −0.758062 | − | 1.65992i | ||||
\(695\) | 14.4764 | + | 59.6723i | 0.549119 | + | 2.26350i | ||||
\(696\) | −4.40845 | − | 6.19080i | −0.167102 | − | 0.234662i | ||||
\(697\) | −5.82592 | − | 16.8329i | −0.220672 | − | 0.637591i | ||||
\(698\) | −18.9489 | + | 7.58599i | −0.717226 | + | 0.287134i | ||||
\(699\) | 14.9819 | − | 4.39910i | 0.566669 | − | 0.166389i | ||||
\(700\) | −44.3181 | + | 0.512187i | −1.67507 | + | 0.0193589i | ||||
\(701\) | −19.1283 | + | 12.2930i | −0.722467 | + | 0.464302i | −0.849494 | − | 0.527598i | \(-0.823093\pi\) |
0.127027 | + | 0.991899i | \(0.459456\pi\) | |||||||
\(702\) | 2.71871 | + | 1.40159i | 0.102611 | + | 0.0528998i | ||||
\(703\) | −5.56467 | + | 1.07250i | −0.209875 | + | 0.0404502i | ||||
\(704\) | −3.16085 | + | 13.0292i | −0.119129 | + | 0.491057i | ||||
\(705\) | −14.2604 | + | 5.70899i | −0.537077 | + | 0.215013i | ||||
\(706\) | 4.48182 | − | 5.17229i | 0.168675 | − | 0.194662i | ||||
\(707\) | −6.57547 | + | 9.46353i | −0.247296 | + | 0.355913i | ||||
\(708\) | −38.1795 | − | 11.2105i | −1.43487 | − | 0.421317i | ||||
\(709\) | −12.6630 | + | 17.7827i | −0.475570 | + | 0.667844i | −0.980772 | − | 0.195157i | \(-0.937478\pi\) |
0.505202 | + | 0.863001i | \(0.331418\pi\) | |||||||
\(710\) | −79.4166 | − | 31.7936i | −2.98045 | − | 1.19319i | ||||
\(711\) | −2.10040 | + | 1.08283i | −0.0787712 | + | 0.0406094i | ||||
\(712\) | 17.4944 | + | 30.3011i | 0.655629 | + | 1.13558i | ||||
\(713\) | −24.8643 | + | 23.0411i | −0.931174 | + | 0.862896i | ||||
\(714\) | 10.9149 | + | 1.97314i | 0.408481 | + | 0.0738429i | ||||
\(715\) | 3.74305 | + | 2.40551i | 0.139982 | + | 0.0899609i | ||||
\(716\) | −51.5155 | + | 40.5123i | −1.92523 | + | 1.51401i | ||||
\(717\) | 27.5220 | + | 2.62803i | 1.02783 | + | 0.0981456i | ||||
\(718\) | 28.1601 | − | 26.8506i | 1.05093 | − | 1.00206i | ||||
\(719\) | 5.59709 | − | 0.534457i | 0.208736 | − | 0.0199319i | 0.00983597 | − | 0.999952i | \(-0.496869\pi\) |
0.198900 | + | 0.980020i | \(0.436263\pi\) | |||||||
\(720\) | 0.731768 | − | 0.844505i | 0.0272714 | − | 0.0314728i | ||||
\(721\) | −24.7533 | − | 27.9086i | −0.921863 | − | 1.03937i | ||||
\(722\) | −26.6470 | + | 7.82427i | −0.991699 | + | 0.291189i | ||||
\(723\) | 4.71437 | − | 13.6213i | 0.175329 | − | 0.506580i | ||||
\(724\) | 2.50488 | + | 52.5839i | 0.0930932 | + | 1.95427i | ||||
\(725\) | 0.730473 | + | 15.3345i | 0.0271291 | + | 0.569510i | ||||
\(726\) | −7.38366 | + | 21.3337i | −0.274033 | + | 0.791767i | ||||
\(727\) | −34.9443 | + | 10.2606i | −1.29601 | + | 0.380544i | −0.855780 | − | 0.517340i | \(-0.826922\pi\) |
−0.440233 | + | 0.897884i | \(0.645104\pi\) | |||||||
\(728\) | 9.17158 | − | 1.87786i | 0.339921 | − | 0.0695980i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 34.9759 | − | 3.33979i | 1.29452 | − | 0.123611i | ||||
\(731\) | −4.96515 | + | 4.73426i | −0.183643 | + | 0.175103i | ||||
\(732\) | −4.67815 | − | 0.446709i | −0.172909 | − | 0.0165108i | ||||
\(733\) | 32.7831 | − | 25.7809i | 1.21087 | − | 0.952239i | 0.211188 | − | 0.977446i | \(-0.432267\pi\) |
0.999682 | + | 0.0252070i | \(0.00802450\pi\) | |||||||
\(734\) | −23.0006 | − | 14.7816i | −0.848967 | − | 0.545598i | ||||
\(735\) | −17.3389 | + | 14.2962i | −0.639555 | + | 0.527323i | ||||
\(736\) | 26.7555 | + | 11.1559i | 0.986222 | + | 0.411212i | ||||
\(737\) | 4.50360 | + | 7.80046i | 0.165892 | + | 0.287334i | ||||
\(738\) | 19.4750 | − | 10.0400i | 0.716883 | − | 0.369579i | ||||
\(739\) | 12.6291 | + | 5.05592i | 0.464568 | + | 0.185985i | 0.592125 | − | 0.805846i | \(-0.298289\pi\) |
−0.127557 | + | 0.991831i | \(0.540713\pi\) | |||||||
\(740\) | −12.8036 | + | 17.9802i | −0.470670 | + | 0.660964i | ||||
\(741\) | −3.36277 | − | 0.987398i | −0.123534 | − | 0.0362730i | ||||
\(742\) | 5.22094 | + | 0.437717i | 0.191667 | + | 0.0160691i | ||||
\(743\) | −19.2771 | + | 22.2470i | −0.707210 | + | 0.816164i | −0.989708 | − | 0.143104i | \(-0.954292\pi\) |
0.282498 | + | 0.959268i | \(0.408837\pi\) | |||||||
\(744\) | 17.2386 | − | 6.90129i | 0.631997 | − | 0.253014i | ||||
\(745\) | −7.34452 | + | 30.2745i | −0.269082 | + | 1.10917i | ||||
\(746\) | 6.63114 | − | 1.27805i | 0.242783 | − | 0.0467927i | ||||
\(747\) | −3.89712 | − | 2.00910i | −0.142588 | − | 0.0735092i | ||||
\(748\) | 5.04467 | − | 3.24201i | 0.184452 | − | 0.118540i | ||||
\(749\) | −24.8890 | + | 0.287644i | −0.909425 | + | 0.0105103i | ||||
\(750\) | 2.14408 | − | 0.629557i | 0.0782906 | − | 0.0229882i | ||||
\(751\) | −7.27755 | + | 2.91349i | −0.265561 | + | 0.106315i | −0.500622 | − | 0.865666i | \(-0.666895\pi\) |
0.235061 | + | 0.971981i | \(0.424471\pi\) | |||||||
\(752\) | −0.544705 | − | 1.57382i | −0.0198633 | − | 0.0573914i | ||||
\(753\) | −14.5054 | − | 20.3700i | −0.528606 | − | 0.742324i | ||||
\(754\) | −2.08624 | − | 8.59958i | −0.0759762 | − | 0.313178i | ||||
\(755\) | −25.9855 | − | 56.9003i | −0.945708 | − | 2.07081i | ||||
\(756\) | −0.300976 | + | 8.34677i | −0.0109464 | + | 0.303569i | ||||
\(757\) | −5.67177 | − | 3.64503i | −0.206144 | − | 0.132481i | 0.433496 | − | 0.901156i | \(-0.357280\pi\) |
−0.639640 | + | 0.768675i | \(0.720916\pi\) | |||||||
\(758\) | −5.54290 | − | 9.60059i | −0.201327 | − | 0.348709i | ||||
\(759\) | −4.35344 | − | 2.32341i | −0.158020 | − | 0.0843344i | ||||
\(760\) | 10.9722 | − | 19.0044i | 0.398003 | − | 0.689361i | ||||
\(761\) | 0.0562089 | − | 1.17997i | 0.00203757 | − | 0.0427739i | −0.997620 | − | 0.0689580i | \(-0.978033\pi\) |
0.999657 | + | 0.0261841i | \(0.00833559\pi\) | |||||||
\(762\) | −2.41785 | − | 16.8165i | −0.0875896 | − | 0.609199i | ||||
\(763\) | −8.09466 | − | 31.7601i | −0.293046 | − | 1.14979i | ||||
\(764\) | −75.3573 | − | 22.1269i | −2.72633 | − | 0.800523i | ||||
\(765\) | −5.89994 | + | 0.563376i | −0.213313 | + | 0.0203689i | ||||
\(766\) | −4.96969 | − | 14.3590i | −0.179562 | − | 0.518811i | ||||
\(767\) | −13.3456 | − | 10.4951i | −0.481883 | − | 0.378957i | ||||
\(768\) | −9.90158 | − | 9.44114i | −0.357292 | − | 0.340678i | ||||
\(769\) | −13.0810 | − | 15.0962i | −0.471711 | − | 0.544384i | 0.469175 | − | 0.883105i | \(-0.344551\pi\) |
−0.940887 | + | 0.338721i | \(0.890006\pi\) | |||||||
\(770\) | −2.59727 | + | 19.6760i | −0.0935992 | + | 0.709074i | ||||
\(771\) | 15.7838 | − | 10.1436i | 0.568440 | − | 0.365314i | ||||
\(772\) | −25.9222 | + | 74.8972i | −0.932960 | + | 2.69561i | ||||
\(773\) | −1.66067 | + | 6.84537i | −0.0597301 | + | 0.246211i | −0.993848 | − | 0.110754i | \(-0.964673\pi\) |
0.934118 | + | 0.356965i | \(0.116189\pi\) | |||||||
\(774\) | −6.63337 | − | 5.21654i | −0.238432 | − | 0.187505i | ||||
\(775\) | −36.8306 | − | 7.09851i | −1.32299 | − | 0.254986i | ||||
\(776\) | −17.8177 | + | 39.0154i | −0.639620 | + | 1.40057i | ||||
\(777\) | 0.340684 | + | 5.75232i | 0.0122220 | + | 0.206363i | ||||
\(778\) | −11.3475 | − | 24.8476i | −0.406829 | − | 0.890831i | ||||
\(779\) | −19.7342 | + | 15.5192i | −0.707052 | + | 0.556032i | ||||
\(780\) | −12.1333 | + | 6.25516i | −0.434442 | + | 0.223971i | ||||
\(781\) | −6.03679 | + | 10.4560i | −0.216013 | + | 0.374146i | ||||
\(782\) | −8.09093 | − | 18.4058i | −0.289331 | − | 0.658191i | ||||
\(783\) | 2.89303 | 0.103388 | ||||||||
\(784\) | −1.45880 | − | 1.95152i | −0.0521000 | − | 0.0696972i | ||||
\(785\) | −9.47490 | − | 65.8994i | −0.338174 | − | 2.35205i | ||||
\(786\) | 23.2677 | − | 32.6749i | 0.829931 | − | 1.16547i | ||||
\(787\) | 32.3337 | − | 30.8301i | 1.15257 | − | 1.09898i | 0.158827 | − | 0.987306i | \(-0.449229\pi\) |
0.993745 | − | 0.111669i | \(-0.0356198\pi\) | |||||||
\(788\) | −43.8034 | − | 61.5133i | −1.56043 | − | 2.19132i | ||||
\(789\) | 4.32067 | + | 0.832740i | 0.153820 | + | 0.0296463i | ||||
\(790\) | 2.45176 | − | 17.0524i | 0.0872298 | − | 0.606696i | ||||
\(791\) | −1.46264 | − | 2.00456i | −0.0520057 | − | 0.0712739i | ||||
\(792\) | 1.77012 | + | 2.04283i | 0.0628985 | + | 0.0725888i | ||||
\(793\) | −1.78223 | − | 0.918806i | −0.0632890 | − | 0.0326278i | ||||
\(794\) | −1.86247 | − | 39.0980i | −0.0660965 | − | 1.38754i | ||||
\(795\) | −2.74894 | + | 0.529814i | −0.0974948 | + | 0.0187906i | ||||
\(796\) | 6.14895 | + | 5.86301i | 0.217944 | + | 0.207809i | ||||
\(797\) | −6.53167 | + | 45.4287i | −0.231364 | + | 1.60917i | 0.460851 | + | 0.887477i | \(0.347544\pi\) |
−0.692215 | + | 0.721691i | \(0.743365\pi\) | |||||||
\(798\) | −2.40350 | − | 15.4472i | −0.0850828 | − | 0.546826i | ||||
\(799\) | −3.66944 | + | 8.03495i | −0.129815 | + | 0.284256i | ||||
\(800\) | 7.56196 | + | 31.1708i | 0.267356 | + | 1.10205i | ||||
\(801\) | −13.2585 | − | 1.26603i | −0.468466 | − | 0.0447331i | ||||
\(802\) | 39.4223 | + | 15.7823i | 1.39205 | + | 0.557293i | ||||
\(803\) | 0.235953 | − | 4.95327i | 0.00832661 | − | 0.174797i | ||||
\(804\) | −27.6344 | −0.974589 | ||||||||
\(805\) | 39.0541 | + | 11.5812i | 1.37648 | + | 0.408184i | ||||
\(806\) | 21.6203 | 0.761542 | ||||||||
\(807\) | 0.941025 | − | 19.7545i | 0.0331256 | − | 0.695393i | ||||
\(808\) | −10.6224 | − | 4.25259i | −0.373696 | − | 0.149605i | ||||
\(809\) | 16.8957 | + | 1.61334i | 0.594021 | + | 0.0567221i | 0.387737 | − | 0.921770i | \(-0.373257\pi\) |
0.206284 | + | 0.978492i | \(0.433863\pi\) | |||||||
\(810\) | −1.71876 | − | 7.08483i | −0.0603911 | − | 0.248936i | ||||
\(811\) | −20.0591 | + | 43.9233i | −0.704370 | + | 1.54235i | 0.130222 | + | 0.991485i | \(0.458431\pi\) |
−0.834591 | + | 0.550870i | \(0.814296\pi\) | |||||||
\(812\) | 18.8196 | − | 15.1552i | 0.660440 | − | 0.531842i | ||||
\(813\) | 2.02388 | − | 14.0764i | 0.0709804 | − | 0.493680i | ||||
\(814\) | 3.68313 | + | 3.51186i | 0.129094 | + | 0.123090i | ||||
\(815\) | 7.64993 | − | 1.47440i | 0.267965 | − | 0.0516461i | ||||
\(816\) | −0.0305755 | − | 0.641858i | −0.00107036 | − | 0.0224695i | ||||
\(817\) | 8.59443 | + | 4.43073i | 0.300681 | + | 0.155012i | ||||
\(818\) | 14.6982 | + | 16.9626i | 0.513911 | + | 0.593085i | ||||
\(819\) | −1.44285 | + | 3.25853i | −0.0504172 | + | 0.113862i | ||||
\(820\) | −13.9162 | + | 96.7895i | −0.485976 | + | 3.38004i | ||||
\(821\) | 10.5249 | + | 2.02850i | 0.367320 | + | 0.0707952i | 0.369572 | − | 0.929202i | \(-0.379504\pi\) |
−0.00225123 | + | 0.999997i | \(0.500717\pi\) | |||||||
\(822\) | −22.4453 | − | 31.5200i | −0.782869 | − | 1.09939i | ||||
\(823\) | 12.5580 | − | 11.9740i | 0.437744 | − | 0.417388i | −0.438894 | − | 0.898539i | \(-0.644630\pi\) |
0.876638 | + | 0.481151i | \(0.159781\pi\) | |||||||
\(824\) | 21.4854 | − | 30.1720i | 0.748480 | − | 1.05109i | ||||
\(825\) | −0.777054 | − | 5.40453i | −0.0270536 | − | 0.188162i | ||||
\(826\) | 17.0027 | − | 73.7983i | 0.591600 | − | 2.56777i | ||||
\(827\) | −36.4333 | −1.26691 | −0.633455 | − | 0.773780i | \(-0.718364\pi\) | ||||
−0.633455 | + | 0.773780i | \(0.718364\pi\) | |||||||
\(828\) | 12.8515 | − | 8.00293i | 0.446622 | − | 0.278121i | ||||
\(829\) | 11.1208 | − | 19.2618i | 0.386241 | − | 0.668988i | −0.605700 | − | 0.795693i | \(-0.707107\pi\) |
0.991940 | + | 0.126705i | \(0.0404401\pi\) | |||||||
\(830\) | 28.4113 | − | 14.6470i | 0.986170 | − | 0.508406i | ||||
\(831\) | 3.34067 | − | 2.62713i | 0.115887 | − | 0.0911342i | ||||
\(832\) | −7.29083 | − | 15.9647i | −0.252764 | − | 0.553476i | ||||
\(833\) | −1.54301 | + | 12.8305i | −0.0534621 | + | 0.444550i | ||||
\(834\) | −18.0430 | + | 39.5087i | −0.624778 | + | 1.36807i | ||||
\(835\) | 69.1704 | + | 13.3315i | 2.39374 | + | 0.461356i | ||||
\(836\) | −6.64355 | − | 5.22454i | −0.229772 | − | 0.180695i | ||||
\(837\) | −1.66643 | + | 6.86913i | −0.0576003 | + | 0.237432i | ||||
\(838\) | −18.7749 | + | 54.2464i | −0.648567 | + | 1.87391i | ||||
\(839\) | 14.2532 | − | 9.15996i | 0.492074 | − | 0.316237i | −0.270965 | − | 0.962589i | \(-0.587343\pi\) |
0.763039 | + | 0.646352i | \(0.223706\pi\) | |||||||
\(840\) | −17.6978 | − | 13.5897i | −0.610632 | − | 0.468888i | ||||
\(841\) | 13.5100 | + | 15.5914i | 0.465863 | + | 0.537634i | ||||
\(842\) | 7.52849 | + | 7.17840i | 0.259449 | + | 0.247384i | ||||
\(843\) | 0.241318 | + | 0.189774i | 0.00831143 | + | 0.00653618i | ||||
\(844\) | 19.7357 | + | 57.0225i | 0.679330 | + | 1.96280i | ||||
\(845\) | 35.7478 | − | 3.41350i | 1.22976 | − | 0.117428i | ||||
\(846\) | −10.4253 | − | 3.06114i | −0.358429 | − | 0.105244i | ||||
\(847\) | −25.3207 | − | 7.11803i | −0.870028 | − | 0.244578i | ||||
\(848\) | −0.0431964 | − | 0.300438i | −0.00148337 | − | 0.0103171i | ||||
\(849\) | −0.935159 | + | 19.6314i | −0.0320946 | + | 0.673748i | ||||
\(850\) | 11.1233 | − | 19.2661i | 0.381526 | − | 0.660822i | ||||
\(851\) | 8.30162 | − | 6.33926i | 0.284576 | − | 0.217307i | ||||
\(852\) | −18.5210 | − | 32.0794i | −0.634521 | − | 1.09902i | ||||
\(853\) | 19.8112 | + | 12.7319i | 0.678323 | + | 0.435932i | 0.833917 | − | 0.551889i | \(-0.186093\pi\) |
−0.155595 | + | 0.987821i | \(0.549729\pi\) | |||||||
\(854\) | 0.322303 | − | 8.93823i | 0.0110290 | − | 0.305860i | ||||
\(855\) | 3.47011 | + | 7.59847i | 0.118675 | + | 0.259862i | ||||
\(856\) | −5.82664 | − | 24.0177i | −0.199150 | − | 0.820909i | ||||
\(857\) | −3.54687 | − | 4.98088i | −0.121159 | − | 0.170144i | 0.749542 | − | 0.661957i | \(-0.230274\pi\) |
−0.870701 | + | 0.491813i | \(0.836334\pi\) | |||||||
\(858\) | 1.02937 | + | 2.97417i | 0.0351421 | + | 0.101537i | ||||
\(859\) | −34.4499 | + | 13.7917i | −1.17542 | + | 0.470566i | −0.875414 | − | 0.483373i | \(-0.839411\pi\) |
−0.300002 | + | 0.953939i | \(0.596987\pi\) | |||||||
\(860\) | 36.1360 | − | 10.6105i | 1.23223 | − | 0.361815i | ||||
\(861\) | 13.0185 | + | 21.9587i | 0.443670 | + | 0.748351i | ||||
\(862\) | −16.6361 | + | 10.6914i | −0.566628 | + | 0.364150i | ||||
\(863\) | 30.5695 | + | 15.7597i | 1.04060 | + | 0.536465i | 0.891813 | − | 0.452404i | \(-0.149434\pi\) |
0.148785 | + | 0.988870i | \(0.452464\pi\) | |||||||
\(864\) | 5.93522 | − | 1.14392i | 0.201920 | − | 0.0389169i | ||||
\(865\) | 2.51715 | − | 10.3758i | 0.0855857 | − | 0.352789i | ||||
\(866\) | −3.34611 | + | 1.33958i | −0.113705 | + | 0.0455208i | ||||
\(867\) | 8.90073 | − | 10.2720i | 0.302285 | − | 0.348855i | ||||
\(868\) | 25.1436 | + | 53.4144i | 0.853428 | + | 1.81300i | ||||
\(869\) | −2.33300 | − | 0.685030i | −0.0791415 | − | 0.0232380i | ||||
\(870\) | −12.2341 | + | 17.1804i | −0.414774 | + | 0.582469i | ||||
\(871\) | −10.9463 | − | 4.38225i | −0.370902 | − | 0.148487i | ||||
\(872\) | 28.9256 | − | 14.9122i | 0.979544 | − | 0.504990i | ||||
\(873\) | −8.16353 | − | 14.1397i | −0.276294 | − | 0.478555i | ||||
\(874\) | −20.7851 | + | 19.2610i | −0.703067 | + | 0.651515i | ||||
\(875\) | 0.879893 | + | 2.45029i | 0.0297458 | + | 0.0828351i | ||||
\(876\) | 12.7988 | + | 8.22532i | 0.432433 | + | 0.277908i | ||||
\(877\) | 34.8482 | − | 27.4049i | 1.17674 | − | 0.925398i | 0.178455 | − | 0.983948i | \(-0.442890\pi\) |
0.998284 | + | 0.0585501i | \(0.0186478\pi\) | |||||||
\(878\) | 52.0078 | + | 4.96615i | 1.75518 | + | 0.167599i | ||||
\(879\) | −15.3377 | + | 14.6245i | −0.517328 | + | 0.493271i | ||||
\(880\) | 1.14458 | − | 0.109294i | 0.0385837 | − | 0.00368430i | ||||
\(881\) | −10.3468 | + | 11.9409i | −0.348593 | + | 0.402298i | −0.902786 | − | 0.430090i | \(-0.858482\pi\) |
0.554192 | + | 0.832389i | \(0.313027\pi\) | |||||||
\(882\) | −15.8918 | + | 0.367375i | −0.535105 | + | 0.0123702i | ||||
\(883\) | −50.3913 | + | 14.7962i | −1.69580 | + | 0.497933i | −0.979769 | − | 0.200132i | \(-0.935863\pi\) |
−0.716034 | + | 0.698065i | \(0.754045\pi\) | |||||||
\(884\) | −2.56745 | + | 7.41817i | −0.0863528 | + | 0.249500i | ||||
\(885\) | 1.92546 | + | 40.4204i | 0.0647237 | + | 1.35872i | ||||
\(886\) | 0.943537 | + | 19.8073i | 0.0316988 | + | 0.665439i | ||||
\(887\) | −0.534907 | + | 1.54551i | −0.0179604 | + | 0.0518933i | −0.953625 | − | 0.300998i | \(-0.902680\pi\) |
0.935664 | + | 0.352891i | \(0.114801\pi\) | |||||||
\(888\) | −5.48983 | + | 1.61196i | −0.184226 | + | 0.0540938i | ||||
\(889\) | 19.3919 | − | 3.97044i | 0.650383 | − | 0.133164i | ||||
\(890\) | 63.5861 | − | 73.3823i | 2.13141 | − | 2.45978i | ||||
\(891\) | −1.02429 | + | 0.0978074i | −0.0343148 | + | 0.00327667i | ||||
\(892\) | −7.68298 | + | 7.32571i | −0.257245 | + | 0.245283i | ||||
\(893\) | 12.3933 | + | 1.18342i | 0.414728 | + | 0.0396017i | ||||
\(894\) | −17.3214 | + | 13.6217i | −0.579314 | + | 0.455577i | ||||
\(895\) | 56.0683 | + | 36.0329i | 1.87416 | + | 1.20445i | ||||
\(896\) | 29.9149 | − | 35.3407i | 0.999386 | − | 1.18065i | ||||
\(897\) | 6.35976 | − | 1.13207i | 0.212346 | − | 0.0377988i | ||||
\(898\) | 28.3134 | + | 49.0402i | 0.944829 | + | 1.63649i | ||||
\(899\) | 18.1758 | − | 9.37028i | 0.606197 | − | 0.312516i | ||||
\(900\) | 15.5518 | + | 6.22601i | 0.518394 | + | 0.207534i | ||||
\(901\) | −0.933818 | + | 1.31136i | −0.0311100 | + | 0.0436879i | ||||
\(902\) | 21.6316 | + | 6.35162i | 0.720254 | + | 0.211486i | ||||
\(903\) | 5.61016 | − | 8.07425i | 0.186694 | − | 0.268694i | ||||
\(904\) | 1.61349 | − | 1.86207i | 0.0536640 | − | 0.0619316i | ||||
\(905\) | 49.7015 | − | 19.8975i | 1.65213 | − | 0.661415i | ||||
\(906\) | 10.4316 | − | 42.9998i | 0.346568 | − | 1.42857i | ||||
\(907\) | 39.4332 | − | 7.60013i | 1.30936 | − | 0.252358i | 0.513631 | − | 0.858011i | \(-0.328300\pi\) |
0.795729 | + | 0.605653i | \(0.207088\pi\) | |||||||
\(908\) | 12.0751 | + | 6.22517i | 0.400728 | + | 0.206590i | ||||
\(909\) | 3.66412 | − | 2.35478i | 0.121531 | − | 0.0781033i | ||||
\(910\) | −13.2494 | − | 22.3481i | −0.439213 | − | 0.740833i | ||||
\(911\) | 37.9693 | − | 11.1488i | 1.25798 | − | 0.369376i | 0.416238 | − | 0.909256i | \(-0.363348\pi\) |
0.841742 | + | 0.539880i | \(0.181530\pi\) | |||||||
\(912\) | −0.840801 | + | 0.336606i | −0.0278417 | + | 0.0111461i | ||||
\(913\) | −1.47554 | − | 4.26330i | −0.0488333 | − | 0.141095i | ||||
\(914\) | −39.6821 | − | 55.7257i | −1.31257 | − | 1.84324i | ||||
\(915\) | 1.12672 | + | 4.64442i | 0.0372483 | + | 0.153540i | ||||
\(916\) | −9.65199 | − | 21.1349i | −0.318911 | − | 0.698317i | ||||
\(917\) | 39.6052 | + | 24.8107i | 1.30788 | + | 0.819321i | ||||
\(918\) | −3.52680 | − | 2.26654i | −0.116402 | − | 0.0748069i | ||||
\(919\) | −21.5979 | − | 37.4087i | −0.712450 | − | 1.23400i | −0.963935 | − | 0.266138i | \(-0.914252\pi\) |
0.251485 | − | 0.967861i | \(-0.419081\pi\) | |||||||
\(920\) | −2.49959 | + | 40.3693i | −0.0824091 | + | 1.33094i | ||||
\(921\) | −6.01248 | + | 10.4139i | −0.198118 | + | 0.343151i | ||||
\(922\) | 0.564594 | − | 11.8523i | 0.0185939 | − | 0.390335i | ||||
\(923\) | −2.24929 | − | 15.6441i | −0.0740361 | − | 0.514933i | ||||
\(924\) | −6.15078 | + | 6.00198i | −0.202346 | + | 0.197451i | ||||
\(925\) | 11.0893 | + | 3.25612i | 0.364615 | + | 0.107061i | ||||
\(926\) | −19.8933 | + | 1.89958i | −0.653734 | + | 0.0624240i | ||||
\(927\) | 4.61157 | + | 13.3243i | 0.151464 | + | 0.437626i | ||||
\(928\) | −13.7455 | − | 10.8096i | −0.451219 | − | 0.354843i | ||||
\(929\) | 2.11082 | + | 2.01267i | 0.0692539 | + | 0.0660334i | 0.723916 | − | 0.689888i | \(-0.242340\pi\) |
−0.654662 | + | 0.755922i | \(0.727189\pi\) | |||||||
\(930\) | −33.7455 | − | 38.9444i | −1.10656 | − | 1.27704i | ||||
\(931\) | 17.8003 | − | 3.85942i | 0.583381 | − | 0.126487i | ||||
\(932\) | −41.4672 | + | 26.6494i | −1.35830 | + | 0.872929i | ||||
\(933\) | 3.80163 | − | 10.9841i | 0.124460 | − | 0.359603i | ||||
\(934\) | −4.55582 | + | 18.7794i | −0.149071 | + | 0.614479i | ||||
\(935\) | −4.79361 | − | 3.76973i | −0.156768 | − | 0.123283i | ||||
\(936\) | −3.47450 | − | 0.669655i | −0.113568 | − | 0.0218884i | ||||
\(937\) | 7.73309 | − | 16.9331i | 0.252629 | − | 0.553181i | −0.740247 | − | 0.672336i | \(-0.765291\pi\) |
0.992876 | + | 0.119155i | \(0.0380185\pi\) | |||||||
\(938\) | −3.10948 | − | 52.5023i | −0.101528 | − | 1.71426i | ||||
\(939\) | −6.83104 | − | 14.9579i | −0.222922 | − | 0.488132i | ||||
\(940\) | 38.1166 | − | 29.9752i | 1.24323 | − | 0.977684i | ||||
\(941\) | −11.4816 | + | 5.91917i | −0.374289 | + | 0.192960i | −0.635099 | − | 0.772431i | \(-0.719041\pi\) |
0.260810 | + | 0.965390i | \(0.416010\pi\) | |||||||
\(942\) | 23.5467 | − | 40.7841i | 0.767193 | − | 1.32882i | ||||
\(943\) | 19.8199 | − | 41.8134i | 0.645424 | − | 1.36163i | ||||
\(944\) | −4.38738 | −0.142797 | ||||||||
\(945\) | 8.12160 | − | 2.48702i | 0.264196 | − | 0.0809027i | ||||
\(946\) | −1.23573 | − | 8.59471i | −0.0401771 | − | 0.279438i | ||||
\(947\) | −19.5007 | + | 27.3850i | −0.633689 | + | 0.889892i | −0.999162 | − | 0.0409304i | \(-0.986968\pi\) |
0.365473 | + | 0.930822i | \(0.380907\pi\) | |||||||
\(948\) | 5.39897 | − | 5.14791i | 0.175351 | − | 0.167196i | ||||
\(949\) | 3.76542 | + | 5.28779i | 0.122231 | + | 0.171649i | ||||
\(950\) | −30.7883 | − | 5.93396i | −0.998904 | − | 0.192523i | ||||
\(951\) | −2.37989 | + | 16.5525i | −0.0771732 | + | 0.536751i | ||||
\(952\) | −12.7583 | + | 1.36723i | −0.413500 | + | 0.0443123i | ||||
\(953\) | −15.7994 | − | 18.2335i | −0.511794 | − | 0.590642i | 0.439763 | − | 0.898114i | \(-0.355062\pi\) |
−0.951557 | + | 0.307472i | \(0.900517\pi\) | |||||||
\(954\) | −1.76012 | − | 0.907404i | −0.0569859 | − | 0.0293783i | ||||
\(955\) | 3.80040 | + | 79.7802i | 0.122978 | + | 2.58163i | ||||
\(956\) | −85.7003 | + | 16.5174i | −2.77175 | + | 0.534210i | ||||
\(957\) | 2.15439 | + | 2.05420i | 0.0696415 | + | 0.0664030i | ||||
\(958\) | 11.9361 | − | 83.0172i | 0.385637 | − | 2.68216i | ||||
\(959\) | 35.1131 | − | 28.2761i | 1.13386 | − | 0.913082i | ||||
\(960\) | −17.3773 | + | 38.0510i | −0.560850 | + | 1.22809i | ||||
\(961\) | 4.47043 | + | 18.4274i | 0.144208 | + | 0.594432i | ||||
\(962\) | −6.63171 | − | 0.633252i | −0.213815 | − | 0.0204169i | ||||
\(963\) | 8.73389 | + | 3.49652i | 0.281446 | + | 0.112674i | ||||
\(964\) | −2.16510 | + | 45.4511i | −0.0697333 | + | 1.46388i | ||||
\(965\) | 80.6005 | 2.59462 | ||||||||
\(966\) | 16.6508 | + | 23.5160i | 0.535730 | + | 0.756615i | ||||
\(967\) | −42.4438 | −1.36490 | −0.682451 | − | 0.730932i | \(-0.739086\pi\) | ||||
−0.682451 | + | 0.730932i | \(0.739086\pi\) | |||||||
\(968\) | 1.24264 | − | 26.0863i | 0.0399400 | − | 0.838445i | ||||
\(969\) | 4.45951 | + | 1.78532i | 0.143260 | + | 0.0573527i | ||||
\(970\) | 118.491 | + | 11.3145i | 3.80451 | + | 0.363287i | ||||
\(971\) | −10.2337 | − | 42.1839i | −0.328415 | − | 1.35375i | −0.861531 | − | 0.507705i | \(-0.830494\pi\) |
0.533116 | − | 0.846042i | \(-0.321021\pi\) | |||||||
\(972\) | 1.31140 | − | 2.87156i | 0.0420630 | − | 0.0921052i | ||||
\(973\) | −47.1933 | − | 18.2634i | −1.51295 | − | 0.585498i | ||||
\(974\) | −6.04352 | + | 42.0336i | −0.193647 | + | 1.34684i | ||||
\(975\) | 5.17296 | + | 4.93240i | 0.165667 | + | 0.157963i | ||||
\(976\) | −0.508793 | + | 0.0980619i | −0.0162861 | + | 0.00313888i | ||||
\(977\) | 1.95069 | + | 40.9500i | 0.0624081 | + | 1.31011i | 0.785287 | + | 0.619132i | \(0.212515\pi\) |
−0.722879 | + | 0.690975i | \(0.757182\pi\) | |||||||
\(978\) | 4.89818 | + | 2.52519i | 0.156626 | + | 0.0807465i | ||||
\(979\) | −8.97442 | − | 10.3570i | −0.286824 | − | 0.331012i | ||||
\(980\) | 39.8041 | − | 58.7235i | 1.27149 | − | 1.87585i | ||||
\(981\) | −1.76299 | + | 12.2618i | −0.0562878 | + | 0.391490i | ||||
\(982\) | −49.7462 | − | 9.58780i | −1.58747 | − | 0.305959i | ||||
\(983\) | −1.90202 | − | 2.67102i | −0.0606651 | − | 0.0851922i | 0.783129 | − | 0.621859i | \(-0.213622\pi\) |
−0.843794 | + | 0.536667i | \(0.819683\pi\) | |||||||
\(984\) | −18.3445 | + | 17.4914i | −0.584800 | + | 0.557606i | ||||
\(985\) | −44.5463 | + | 62.5566i | −1.41936 | + | 1.99322i | ||||
\(986\) | 1.72607 | + | 12.0051i | 0.0549692 | + | 0.382319i | ||||
\(987\) | 2.84214 | − | 12.3360i | 0.0904662 | − | 0.392658i | ||||
\(988\) | 11.0639 | 0.351988 | ||||||||
\(989\) | −17.8201 | − | 0.253764i | −0.566647 | − | 0.00806922i | ||||
\(990\) | 3.75067 | − | 6.49636i | 0.119204 | − | 0.206468i | ||||
\(991\) | 4.12412 | − | 2.12613i | 0.131007 | − | 0.0675388i | −0.391477 | − | 0.920188i | \(-0.628036\pi\) |
0.522484 | + | 0.852649i | \(0.325005\pi\) | |||||||
\(992\) | 33.5837 | − | 26.4105i | 1.06628 | − | 0.838534i | ||||
\(993\) | −11.1961 | − | 24.5161i | −0.355299 | − | 0.777996i | ||||
\(994\) | 58.8633 | − | 38.7976i | 1.86703 | − | 1.23059i | ||||
\(995\) | 3.58929 | − | 7.85944i | 0.113788 | − | 0.249161i | ||||
\(996\) | 13.5911 | + | 2.61946i | 0.430649 | + | 0.0830009i | ||||
\(997\) | 14.1314 | + | 11.1130i | 0.447545 | + | 0.351953i | 0.816354 | − | 0.577552i | \(-0.195992\pi\) |
−0.368809 | + | 0.929505i | \(0.620234\pi\) | |||||||
\(998\) | −8.98855 | + | 37.0513i | −0.284528 | + | 1.17284i | ||||
\(999\) | 0.712349 | − | 2.05820i | 0.0225377 | − | 0.0651184i |
(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 | 483.2.y.b.25.2 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.b.163.15 | yes | 320 | |
23.12 | even | 11 | inner | 483.2.y.b.403.15 | yes | 320 | |
161.58 | even | 33 | inner | 483.2.y.b.58.2 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.25.2 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.58.2 | yes | 320 | 161.58 | even | 33 | inner | |
483.2.y.b.163.15 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.b.403.15 | yes | 320 | 23.12 | even | 11 | inner |