Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 229.6 | ||
Character | \(\chi\) | \(=\) | 384.229 |
Dual form | 384.2.v.a.109.6 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20287 | + | 0.743711i | −0.850557 | + | 0.525883i | ||||
\(3\) | −0.881921 | + | 0.471397i | −0.509177 | + | 0.272161i | ||||
\(4\) | 0.893788 | − | 1.78917i | 0.446894 | − | 0.894587i | ||||
\(5\) | 2.29000 | + | 2.79037i | 1.02412 | + | 1.24789i | 0.968388 | + | 0.249447i | \(0.0802490\pi\) |
0.0557311 | + | 0.998446i | \(0.482251\pi\) | |||||||
\(6\) | 0.710253 | − | 1.22292i | 0.289960 | − | 0.499256i | ||||
\(7\) | −2.80560 | + | 1.87464i | −1.06042 | + | 0.708548i | −0.958167 | − | 0.286210i | \(-0.907604\pi\) |
−0.102251 | + | 0.994759i | \(0.532604\pi\) | |||||||
\(8\) | 0.255518 | + | 2.81686i | 0.0903393 | + | 0.995911i | ||||
\(9\) | 0.555570 | − | 0.831470i | 0.185190 | − | 0.277157i | ||||
\(10\) | −4.82980 | − | 1.65336i | −1.52732 | − | 0.522837i | ||||
\(11\) | 2.03892 | − | 0.618500i | 0.614757 | − | 0.186485i | 0.0324768 | − | 0.999472i | \(-0.489660\pi\) |
0.582281 | + | 0.812988i | \(0.302160\pi\) | |||||||
\(12\) | 0.0551600 | + | 1.99924i | 0.0159233 | + | 0.577131i | ||||
\(13\) | −0.229619 | − | 0.188444i | −0.0636849 | − | 0.0522649i | 0.602012 | − | 0.798487i | \(-0.294366\pi\) |
−0.665697 | + | 0.746222i | \(0.731866\pi\) | |||||||
\(14\) | 1.98058 | − | 4.34151i | 0.529332 | − | 1.16032i | ||||
\(15\) | −3.33497 | − | 1.38139i | −0.861086 | − | 0.356674i | ||||
\(16\) | −2.40229 | − | 3.19828i | −0.600571 | − | 0.799571i | ||||
\(17\) | 2.17714 | − | 0.901803i | 0.528035 | − | 0.218719i | −0.102707 | − | 0.994712i | \(-0.532750\pi\) |
0.630742 | + | 0.775992i | \(0.282750\pi\) | |||||||
\(18\) | −0.0499052 | + | 1.41333i | −0.0117628 | + | 0.333126i | ||||
\(19\) | 0.706078 | + | 7.16893i | 0.161985 | + | 1.64467i | 0.641494 | + | 0.767128i | \(0.278315\pi\) |
−0.479508 | + | 0.877537i | \(0.659185\pi\) | |||||||
\(20\) | 7.03924 | − | 1.60321i | 1.57402 | − | 0.358488i | ||||
\(21\) | 1.59062 | − | 2.97584i | 0.347102 | − | 0.649381i | ||||
\(22\) | −1.99257 | + | 2.26034i | −0.424817 | + | 0.481906i | ||||
\(23\) | −7.67471 | + | 1.52659i | −1.60029 | + | 0.318317i | −0.912966 | − | 0.408037i | \(-0.866214\pi\) |
−0.687321 | + | 0.726353i | \(0.741214\pi\) | |||||||
\(24\) | −1.55321 | − | 2.36380i | −0.317047 | − | 0.482509i | ||||
\(25\) | −1.56663 | + | 7.87599i | −0.313326 | + | 1.57520i | ||||
\(26\) | 0.416349 | + | 0.0559027i | 0.0816529 | + | 0.0109634i | ||||
\(27\) | −0.0980171 | + | 0.995185i | −0.0188634 | + | 0.191523i | ||||
\(28\) | 0.846449 | + | 6.69524i | 0.159964 | + | 1.26528i | ||||
\(29\) | 1.45478 | − | 4.79576i | 0.270145 | − | 0.890549i | −0.711961 | − | 0.702219i | \(-0.752193\pi\) |
0.982106 | − | 0.188330i | \(-0.0603074\pi\) | |||||||
\(30\) | 5.03889 | − | 0.818623i | 0.919972 | − | 0.149460i | ||||
\(31\) | −1.34085 | − | 1.34085i | −0.240824 | − | 0.240824i | 0.576367 | − | 0.817191i | \(-0.304470\pi\) |
−0.817191 | + | 0.576367i | \(0.804470\pi\) | |||||||
\(32\) | 5.26823 | + | 2.06051i | 0.931301 | + | 0.364250i | ||||
\(33\) | −1.50661 | + | 1.50661i | −0.262267 | + | 0.262267i | ||||
\(34\) | −1.94814 | + | 2.70392i | −0.334103 | + | 0.463718i | ||||
\(35\) | −11.6558 | − | 3.53574i | −1.97019 | − | 0.597650i | ||||
\(36\) | −0.991082 | − | 1.73717i | −0.165180 | − | 0.289528i | ||||
\(37\) | −11.2318 | − | 1.10623i | −1.84649 | − | 0.181863i | −0.886656 | − | 0.462430i | \(-0.846978\pi\) |
−0.959835 | + | 0.280566i | \(0.909478\pi\) | |||||||
\(38\) | −6.18093 | − | 8.09817i | −1.00268 | − | 1.31370i | ||||
\(39\) | 0.291338 | + | 0.0579507i | 0.0466514 | + | 0.00927954i | ||||
\(40\) | −7.27496 | + | 7.16361i | −1.15027 | + | 1.13267i | ||||
\(41\) | 1.95928 | + | 9.84997i | 0.305988 | + | 1.53831i | 0.761552 | + | 0.648104i | \(0.224438\pi\) |
−0.455564 | + | 0.890203i | \(0.650562\pi\) | |||||||
\(42\) | 0.299857 | + | 4.76251i | 0.0462690 | + | 0.734870i | ||||
\(43\) | −3.88211 | − | 2.07503i | −0.592016 | − | 0.316439i | 0.148043 | − | 0.988981i | \(-0.452702\pi\) |
−0.740059 | + | 0.672542i | \(0.765202\pi\) | |||||||
\(44\) | 0.715759 | − | 4.20079i | 0.107905 | − | 0.633293i | ||||
\(45\) | 3.59237 | − | 0.353817i | 0.535519 | − | 0.0527440i | ||||
\(46\) | 8.09632 | − | 7.54406i | 1.19374 | − | 1.11231i | ||||
\(47\) | −0.144696 | − | 0.349327i | −0.0211061 | − | 0.0509545i | 0.912975 | − | 0.408015i | \(-0.133779\pi\) |
−0.934081 | + | 0.357061i | \(0.883779\pi\) | |||||||
\(48\) | 3.62629 | + | 1.68821i | 0.523410 | + | 0.243671i | ||||
\(49\) | 1.67833 | − | 4.05184i | 0.239761 | − | 0.578835i | ||||
\(50\) | −3.97301 | − | 10.6389i | −0.561868 | − | 1.50457i | ||||
\(51\) | −1.49496 | + | 1.82162i | −0.209337 | + | 0.255078i | ||||
\(52\) | −0.542389 | + | 0.242400i | −0.0752159 | + | 0.0336148i | ||||
\(53\) | 2.39613 | + | 7.89897i | 0.329133 | + | 1.08501i | 0.952872 | + | 0.303374i | \(0.0981132\pi\) |
−0.623738 | + | 0.781633i | \(0.714387\pi\) | |||||||
\(54\) | −0.622228 | − | 1.26997i | −0.0846745 | − | 0.172821i | ||||
\(55\) | 6.39497 | + | 4.27298i | 0.862298 | + | 0.576169i | ||||
\(56\) | −5.99749 | − | 7.42399i | −0.801449 | − | 0.992072i | ||||
\(57\) | −4.00212 | − | 5.98959i | −0.530093 | − | 0.793341i | ||||
\(58\) | 1.81675 | + | 6.85060i | 0.238551 | + | 0.899528i | ||||
\(59\) | 5.66535 | − | 4.64943i | 0.737566 | − | 0.605304i | −0.188762 | − | 0.982023i | \(-0.560448\pi\) |
0.926328 | + | 0.376718i | \(0.122948\pi\) | |||||||
\(60\) | −5.45231 | + | 4.73218i | −0.703890 | + | 0.610921i | ||||
\(61\) | −1.29976 | − | 2.43168i | −0.166417 | − | 0.311345i | 0.784865 | − | 0.619667i | \(-0.212733\pi\) |
−0.951282 | + | 0.308322i | \(0.900233\pi\) | |||||||
\(62\) | 2.61008 | + | 0.615664i | 0.331480 | + | 0.0781894i | ||||
\(63\) | 3.37427i | 0.425118i | ||||||||
\(64\) | −7.86942 | + | 1.43952i | −0.983678 | + | 0.179940i | ||||
\(65\) | − | 1.07226i | − | 0.132997i | ||||||
\(66\) | 0.691771 | − | 2.93273i | 0.0851512 | − | 0.360995i | ||||
\(67\) | −0.766606 | − | 1.43422i | −0.0936558 | − | 0.175218i | 0.830731 | − | 0.556674i | \(-0.187923\pi\) |
−0.924387 | + | 0.381456i | \(0.875423\pi\) | |||||||
\(68\) | 0.332424 | − | 4.70131i | 0.0403123 | − | 0.570118i | ||||
\(69\) | 6.04886 | − | 4.96417i | 0.728197 | − | 0.597616i | ||||
\(70\) | 16.6500 | − | 4.41550i | 1.99005 | − | 0.527753i | ||||
\(71\) | 7.40895 | + | 11.0883i | 0.879280 | + | 1.31594i | 0.947990 | + | 0.318299i | \(0.103112\pi\) |
−0.0687103 | + | 0.997637i | \(0.521888\pi\) | |||||||
\(72\) | 2.48409 | + | 1.35251i | 0.292753 | + | 0.159395i | ||||
\(73\) | 8.54466 | + | 5.70936i | 1.00008 | + | 0.668230i | 0.943914 | − | 0.330191i | \(-0.107113\pi\) |
0.0561631 | + | 0.998422i | \(0.482113\pi\) | |||||||
\(74\) | 14.3331 | − | 7.02253i | 1.66618 | − | 0.816353i | ||||
\(75\) | −2.33107 | − | 7.68451i | −0.269169 | − | 0.887331i | ||||
\(76\) | 13.4576 | + | 5.14421i | 1.54369 | + | 0.590081i | ||||
\(77\) | −4.56093 | + | 5.55751i | −0.519766 | + | 0.633337i | ||||
\(78\) | −0.393540 | + | 0.146964i | −0.0445596 | + | 0.0166404i | ||||
\(79\) | 6.07499 | − | 14.6663i | 0.683490 | − | 1.65009i | −0.0740106 | − | 0.997257i | \(-0.523580\pi\) |
0.757501 | − | 0.652834i | \(-0.226420\pi\) | |||||||
\(80\) | 3.42317 | − | 14.0273i | 0.382722 | − | 1.56831i | ||||
\(81\) | −0.382683 | − | 0.923880i | −0.0425204 | − | 0.102653i | ||||
\(82\) | −9.68229 | − | 10.3911i | −1.06923 | − | 1.14750i | ||||
\(83\) | 11.9353 | − | 1.17553i | 1.31007 | − | 0.129031i | 0.581246 | − | 0.813728i | \(-0.302565\pi\) |
0.728828 | + | 0.684697i | \(0.240065\pi\) | |||||||
\(84\) | −3.90262 | − | 5.50566i | −0.425810 | − | 0.600717i | ||||
\(85\) | 7.50203 | + | 4.00992i | 0.813709 | + | 0.434937i | ||||
\(86\) | 6.21289 | − | 0.391177i | 0.669953 | − | 0.0421817i | ||||
\(87\) | 0.977705 | + | 4.91526i | 0.104821 | + | 0.526971i | ||||
\(88\) | 2.26321 | + | 5.58532i | 0.241259 | + | 0.595397i | ||||
\(89\) | −0.238687 | − | 0.0474779i | −0.0253008 | − | 0.00503265i | 0.182424 | − | 0.983220i | \(-0.441606\pi\) |
−0.207725 | + | 0.978187i | \(0.566606\pi\) | |||||||
\(90\) | −4.05801 | + | 3.09728i | −0.427752 | + | 0.326482i | ||||
\(91\) | 0.997485 | + | 0.0982437i | 0.104565 | + | 0.0102987i | ||||
\(92\) | −4.12822 | + | 15.0958i | −0.430397 | + | 1.57385i | ||||
\(93\) | 1.81460 | + | 0.550453i | 0.188165 | + | 0.0570793i | ||||
\(94\) | 0.433848 | + | 0.312582i | 0.0447480 | + | 0.0322404i | ||||
\(95\) | −18.3871 | + | 18.3871i | −1.88647 | + | 1.88647i | ||||
\(96\) | −5.61749 | + | 0.666220i | −0.573332 | + | 0.0679958i | ||||
\(97\) | 0.798274 | + | 0.798274i | 0.0810524 | + | 0.0810524i | 0.746471 | − | 0.665418i | \(-0.231747\pi\) |
−0.665418 | + | 0.746471i | \(0.731747\pi\) | |||||||
\(98\) | 0.994591 | + | 6.12203i | 0.100469 | + | 0.618418i | ||||
\(99\) | 0.618500 | − | 2.03892i | 0.0621615 | − | 0.204919i | ||||
\(100\) | 12.6913 | + | 9.84244i | 1.26913 | + | 0.984244i | ||||
\(101\) | 0.362936 | − | 3.68495i | 0.0361135 | − | 0.366666i | −0.960095 | − | 0.279673i | \(-0.909774\pi\) |
0.996209 | − | 0.0869935i | \(-0.0277259\pi\) | |||||||
\(102\) | 0.443488 | − | 3.30299i | 0.0439118 | − | 0.327045i | ||||
\(103\) | −0.982648 | + | 4.94011i | −0.0968232 | + | 0.486763i | 0.901696 | + | 0.432370i | \(0.142322\pi\) |
−0.998520 | + | 0.0543933i | \(0.982678\pi\) | |||||||
\(104\) | 0.472148 | − | 0.694956i | 0.0462979 | − | 0.0681461i | ||||
\(105\) | 11.9462 | − | 2.37625i | 1.16583 | − | 0.231898i | ||||
\(106\) | −8.75678 | − | 7.71940i | −0.850534 | − | 0.749775i | ||||
\(107\) | 6.05073 | − | 11.3201i | 0.584946 | − | 1.09436i | −0.399178 | − | 0.916874i | \(-0.630704\pi\) |
0.984124 | − | 0.177484i | \(-0.0567957\pi\) | |||||||
\(108\) | 1.69295 | + | 1.06485i | 0.162904 | + | 0.102466i | ||||
\(109\) | −0.233826 | − | 2.37407i | −0.0223964 | − | 0.227395i | −0.999867 | − | 0.0163221i | \(-0.994804\pi\) |
0.977470 | − | 0.211073i | \(-0.0676957\pi\) | |||||||
\(110\) | −10.8702 | − | 0.383829i | −1.03643 | − | 0.0365967i | ||||
\(111\) | 10.4270 | − | 4.31901i | 0.989688 | − | 0.409942i | ||||
\(112\) | 12.7355 | + | 4.46968i | 1.20339 | + | 0.422345i | ||||
\(113\) | 14.8732 | + | 6.16070i | 1.39916 | + | 0.579550i | 0.949533 | − | 0.313668i | \(-0.101558\pi\) |
0.449624 | + | 0.893218i | \(0.351558\pi\) | |||||||
\(114\) | 9.26855 | + | 4.22828i | 0.868079 | + | 0.396014i | ||||
\(115\) | −21.8349 | − | 17.9194i | −2.03611 | − | 1.67099i | ||||
\(116\) | −7.28018 | − | 6.88924i | −0.675948 | − | 0.639650i | ||||
\(117\) | −0.284255 | + | 0.0862277i | −0.0262794 | + | 0.00797176i | ||||
\(118\) | −3.35684 | + | 9.80604i | −0.309022 | + | 0.902719i | ||||
\(119\) | −4.41764 | + | 6.61147i | −0.404964 | + | 0.606072i | ||||
\(120\) | 3.03904 | − | 9.74713i | 0.277425 | − | 0.889787i | ||||
\(121\) | −5.37151 | + | 3.58913i | −0.488319 | + | 0.326285i | ||||
\(122\) | 3.37191 | + | 1.95835i | 0.305279 | + | 0.177301i | ||||
\(123\) | −6.37117 | − | 7.76330i | −0.574469 | − | 0.699993i | ||||
\(124\) | −3.59746 | + | 1.20058i | −0.323061 | + | 0.107815i | ||||
\(125\) | −9.64697 | + | 5.15641i | −0.862851 | + | 0.461204i | ||||
\(126\) | −2.50948 | − | 4.05880i | −0.223562 | − | 0.361587i | ||||
\(127\) | 8.46265 | 0.750938 | 0.375469 | − | 0.926835i | \(-0.377482\pi\) | ||||
0.375469 | + | 0.926835i | \(0.377482\pi\) | |||||||
\(128\) | 8.39530 | − | 7.58413i | 0.742046 | − | 0.670348i | ||||
\(129\) | 4.40187 | 0.387563 | ||||||||
\(130\) | 0.797451 | + | 1.28979i | 0.0699411 | + | 0.113122i | ||||
\(131\) | −6.37547 | + | 3.40776i | −0.557028 | + | 0.297737i | −0.725787 | − | 0.687920i | \(-0.758524\pi\) |
0.168759 | + | 0.985657i | \(0.446024\pi\) | |||||||
\(132\) | 1.34900 | + | 4.04217i | 0.117415 | + | 0.351826i | ||||
\(133\) | −15.4202 | − | 18.7895i | −1.33710 | − | 1.62926i | ||||
\(134\) | 1.98877 | + | 1.15504i | 0.171804 | + | 0.0997806i | ||||
\(135\) | −3.00140 | + | 2.00547i | −0.258319 | + | 0.172603i | ||||
\(136\) | 3.09655 | + | 5.90229i | 0.265527 | + | 0.506117i | ||||
\(137\) | 5.10959 | − | 7.64705i | 0.436542 | − | 0.653331i | −0.546341 | − | 0.837563i | \(-0.683980\pi\) |
0.982883 | + | 0.184232i | \(0.0589797\pi\) | |||||||
\(138\) | −3.58408 | + | 10.4698i | −0.305097 | + | 0.891252i | ||||
\(139\) | 2.59596 | − | 0.787477i | 0.220187 | − | 0.0667929i | −0.178264 | − | 0.983983i | \(-0.557048\pi\) |
0.398451 | + | 0.917190i | \(0.369548\pi\) | |||||||
\(140\) | −16.7439 | + | 17.6940i | −1.41511 | + | 1.49542i | ||||
\(141\) | 0.292282 | + | 0.239869i | 0.0246146 | + | 0.0202007i | ||||
\(142\) | −17.1585 | − | 7.82762i | −1.43991 | − | 0.656880i | ||||
\(143\) | −0.584728 | − | 0.242202i | −0.0488974 | − | 0.0202540i | ||||
\(144\) | −3.99391 | + | 0.220556i | −0.332826 | + | 0.0183797i | ||||
\(145\) | 16.7134 | − | 6.92291i | 1.38797 | − | 0.574917i | ||||
\(146\) | −14.5242 | − | 0.512855i | −1.20203 | − | 0.0424442i | ||||
\(147\) | 0.429872 | + | 4.36457i | 0.0354553 | + | 0.359983i | ||||
\(148\) | −12.0181 | + | 19.1068i | −0.987878 | + | 1.57057i | ||||
\(149\) | 0.631173 | − | 1.18084i | 0.0517077 | − | 0.0967383i | −0.854740 | − | 0.519056i | \(-0.826283\pi\) |
0.906448 | + | 0.422318i | \(0.138783\pi\) | |||||||
\(150\) | 8.51903 | + | 7.50982i | 0.695575 | + | 0.613174i | ||||
\(151\) | 1.01457 | − | 0.201810i | 0.0825644 | − | 0.0164231i | −0.153635 | − | 0.988128i | \(-0.549098\pi\) |
0.236200 | + | 0.971705i | \(0.424098\pi\) | |||||||
\(152\) | −20.0135 | + | 3.82072i | −1.62331 | + | 0.309901i | ||||
\(153\) | 0.459735 | − | 2.31124i | 0.0371674 | − | 0.186853i | ||||
\(154\) | 1.35302 | − | 10.0770i | 0.109030 | − | 0.812025i | ||||
\(155\) | 0.670927 | − | 6.81204i | 0.0538902 | − | 0.547156i | ||||
\(156\) | 0.364078 | − | 0.469458i | 0.0291496 | − | 0.0375867i | ||||
\(157\) | 0.206206 | − | 0.679771i | 0.0164571 | − | 0.0542517i | −0.948327 | − | 0.317294i | \(-0.897226\pi\) |
0.964784 | + | 0.263042i | \(0.0847258\pi\) | |||||||
\(158\) | 3.60009 | + | 22.1597i | 0.286408 | + | 1.76293i | ||||
\(159\) | −5.83675 | − | 5.83675i | −0.462884 | − | 0.462884i | ||||
\(160\) | 6.31466 | + | 19.4189i | 0.499218 | + | 1.53520i | ||||
\(161\) | 18.6703 | − | 18.6703i | 1.47143 | − | 1.47143i | ||||
\(162\) | 1.14742 | + | 0.826700i | 0.0901496 | + | 0.0649517i | ||||
\(163\) | 11.8951 | + | 3.60834i | 0.931696 | + | 0.282627i | 0.719414 | − | 0.694581i | \(-0.244410\pi\) |
0.212282 | + | 0.977208i | \(0.431910\pi\) | |||||||
\(164\) | 19.3745 | + | 5.29829i | 1.51289 | + | 0.413727i | ||||
\(165\) | −7.65413 | − | 0.753866i | −0.595874 | − | 0.0586884i | ||||
\(166\) | −13.4824 | + | 10.2905i | −1.04644 | + | 0.798694i | ||||
\(167\) | −1.21048 | − | 0.240779i | −0.0936694 | − | 0.0186320i | 0.148033 | − | 0.988982i | \(-0.452706\pi\) |
−0.241702 | + | 0.970350i | \(0.577706\pi\) | |||||||
\(168\) | 8.78896 | + | 3.72017i | 0.678083 | + | 0.287018i | ||||
\(169\) | −2.51896 | − | 12.6637i | −0.193766 | − | 0.974128i | ||||
\(170\) | −12.0062 | + | 0.755935i | −0.920832 | + | 0.0579775i | ||||
\(171\) | 6.35303 | + | 3.39576i | 0.485828 | + | 0.259680i | ||||
\(172\) | −7.18237 | + | 5.09113i | −0.547650 | + | 0.388195i | ||||
\(173\) | 13.8434 | − | 1.36345i | 1.05249 | − | 0.103661i | 0.443054 | − | 0.896495i | \(-0.353895\pi\) |
0.609438 | + | 0.792833i | \(0.291395\pi\) | |||||||
\(174\) | −4.83158 | − | 5.18528i | −0.366281 | − | 0.393095i | ||||
\(175\) | −10.3693 | − | 25.0338i | −0.783847 | − | 1.89237i | ||||
\(176\) | −6.87621 | − | 5.03523i | −0.518314 | − | 0.379545i | ||||
\(177\) | −2.80466 | + | 6.77106i | −0.210811 | + | 0.508944i | ||||
\(178\) | 0.322420 | − | 0.120405i | 0.0241664 | − | 0.00902472i | ||||
\(179\) | −5.48986 | + | 6.68942i | −0.410332 | + | 0.499991i | −0.936635 | − | 0.350306i | \(-0.886078\pi\) |
0.526304 | + | 0.850297i | \(0.323578\pi\) | |||||||
\(180\) | 2.57777 | − | 6.74361i | 0.192136 | − | 0.502639i | ||||
\(181\) | −4.94944 | − | 16.3161i | −0.367889 | − | 1.21277i | −0.924237 | − | 0.381819i | \(-0.875298\pi\) |
0.556348 | − | 0.830949i | \(-0.312202\pi\) | |||||||
\(182\) | −1.27291 | + | 0.623666i | −0.0943542 | + | 0.0462292i | ||||
\(183\) | 2.29258 | + | 1.53185i | 0.169472 | + | 0.113238i | ||||
\(184\) | −6.26123 | − | 21.2285i | −0.461584 | − | 1.56499i | ||||
\(185\) | −22.6339 | − | 33.8741i | −1.66408 | − | 2.49047i | ||||
\(186\) | −2.59211 | + | 0.687415i | −0.190062 | + | 0.0504037i | ||||
\(187\) | 3.88126 | − | 3.18527i | 0.283826 | − | 0.232930i | ||||
\(188\) | −0.754334 | − | 0.0533380i | −0.0550154 | − | 0.00389007i | ||||
\(189\) | −1.59062 | − | 2.97584i | −0.115701 | − | 0.216460i | ||||
\(190\) | 8.44258 | − | 35.7919i | 0.612489 | − | 2.59662i | ||||
\(191\) | 25.7974i | 1.86663i | 0.359055 | + | 0.933316i | \(0.383099\pi\) | ||||
−0.359055 | + | 0.933316i | \(0.616901\pi\) | |||||||
\(192\) | 6.26163 | − | 4.97916i | 0.451894 | − | 0.359340i | ||||
\(193\) | 11.8620i | 0.853848i | 0.904288 | + | 0.426924i | \(0.140403\pi\) | ||||
−0.904288 | + | 0.426924i | \(0.859597\pi\) | |||||||
\(194\) | −1.55390 | − | 0.366534i | −0.111564 | − | 0.0263156i | ||||
\(195\) | 0.505460 | + | 0.945649i | 0.0361967 | + | 0.0677193i | ||||
\(196\) | −5.74938 | − | 6.62431i | −0.410670 | − | 0.473165i | ||||
\(197\) | −11.7952 | + | 9.68008i | −0.840374 | + | 0.689677i | −0.952673 | − | 0.303997i | \(-0.901679\pi\) |
0.112299 | + | 0.993674i | \(0.464179\pi\) | |||||||
\(198\) | 0.772393 | + | 2.91254i | 0.0548916 | + | 0.206985i | ||||
\(199\) | 13.7706 | + | 20.6091i | 0.976169 | + | 1.46094i | 0.885268 | + | 0.465081i | \(0.153975\pi\) |
0.0909008 | + | 0.995860i | \(0.471025\pi\) | |||||||
\(200\) | −22.5859 | − | 2.40053i | −1.59706 | − | 0.169743i | ||||
\(201\) | 1.35217 | + | 0.903492i | 0.0953748 | + | 0.0637274i | ||||
\(202\) | 2.30397 | + | 4.70243i | 0.162107 | + | 0.330862i | ||||
\(203\) | 4.90881 | + | 16.1822i | 0.344531 | + | 1.13577i | ||||
\(204\) | 1.92301 | + | 4.30289i | 0.134638 | + | 0.301262i | ||||
\(205\) | −22.9983 | + | 28.0236i | −1.60627 | + | 1.95725i | ||||
\(206\) | −2.49201 | − | 6.67311i | −0.173627 | − | 0.464937i | ||||
\(207\) | −2.99452 | + | 7.22942i | −0.208134 | + | 0.502479i | ||||
\(208\) | −0.0510853 | + | 1.18708i | −0.00354213 | + | 0.0823094i | ||||
\(209\) | 5.87362 | + | 14.1802i | 0.406287 | + | 0.980863i | ||||
\(210\) | −12.6025 | + | 11.7429i | −0.869655 | + | 0.810334i | ||||
\(211\) | 9.45447 | − | 0.931184i | 0.650872 | − | 0.0641053i | 0.232808 | − | 0.972523i | \(-0.425209\pi\) |
0.418064 | + | 0.908417i | \(0.362709\pi\) | |||||||
\(212\) | 16.2743 | + | 2.77292i | 1.11772 | + | 0.190445i | ||||
\(213\) | −11.7611 | − | 6.28643i | −0.805856 | − | 0.430739i | ||||
\(214\) | 1.14066 | + | 18.1166i | 0.0779740 | + | 1.23843i | ||||
\(215\) | −3.09992 | − | 15.5843i | −0.211413 | − | 1.06284i | ||||
\(216\) | −2.82834 | − | 0.0218130i | −0.192444 | − | 0.00148419i | ||||
\(217\) | 6.27552 | + | 1.24828i | 0.426010 | + | 0.0847387i | ||||
\(218\) | 2.04689 | + | 2.68180i | 0.138633 | + | 0.181634i | ||||
\(219\) | −10.2271 | − | 1.00728i | −0.691083 | − | 0.0680657i | ||||
\(220\) | 13.3609 | − | 7.62258i | 0.900789 | − | 0.513914i | ||||
\(221\) | −0.669853 | − | 0.203198i | −0.0450592 | − | 0.0136686i | ||||
\(222\) | −9.33023 | + | 12.9499i | −0.626204 | + | 0.869139i | ||||
\(223\) | 2.38881 | − | 2.38881i | 0.159967 | − | 0.159967i | −0.622585 | − | 0.782552i | \(-0.713918\pi\) |
0.782552 | + | 0.622585i | \(0.213918\pi\) | |||||||
\(224\) | −18.6433 | + | 4.09509i | −1.24566 | + | 0.273614i | ||||
\(225\) | 5.67827 | + | 5.67827i | 0.378551 | + | 0.378551i | ||||
\(226\) | −22.4723 | + | 3.65088i | −1.49484 | + | 0.242853i | ||||
\(227\) | 1.30250 | − | 4.29375i | 0.0864497 | − | 0.284986i | −0.903047 | − | 0.429542i | \(-0.858675\pi\) |
0.989497 | + | 0.144555i | \(0.0461751\pi\) | |||||||
\(228\) | −14.2935 | + | 1.80706i | −0.946608 | + | 0.119675i | ||||
\(229\) | −2.29468 | + | 23.2983i | −0.151637 | + | 1.53959i | 0.554901 | + | 0.831916i | \(0.312756\pi\) |
−0.706538 | + | 0.707676i | \(0.749744\pi\) | |||||||
\(230\) | 39.5913 | + | 5.31587i | 2.61057 | + | 0.350518i | ||||
\(231\) | 1.40259 | − | 7.05129i | 0.0922836 | − | 0.463941i | ||||
\(232\) | 13.8807 | + | 2.87250i | 0.911313 | + | 0.188589i | ||||
\(233\) | −16.6826 | + | 3.31838i | −1.09292 | + | 0.217394i | −0.708461 | − | 0.705750i | \(-0.750610\pi\) |
−0.384454 | + | 0.923144i | \(0.625610\pi\) | |||||||
\(234\) | 0.277793 | − | 0.315124i | 0.0181599 | − | 0.0206003i | ||||
\(235\) | 0.643398 | − | 1.20371i | 0.0419707 | − | 0.0785216i | ||||
\(236\) | −3.25502 | − | 14.2919i | −0.211884 | − | 0.930323i | ||||
\(237\) | 1.55600 | + | 15.7983i | 0.101073 | + | 1.02621i | ||||
\(238\) | 0.396823 | − | 11.2382i | 0.0257222 | − | 0.728463i | ||||
\(239\) | −12.9107 | + | 5.34779i | −0.835123 | + | 0.345919i | −0.758929 | − | 0.651173i | \(-0.774277\pi\) |
−0.0761946 | + | 0.997093i | \(0.524277\pi\) | |||||||
\(240\) | 3.59348 | + | 13.9847i | 0.231958 | + | 0.902708i | ||||
\(241\) | 19.2318 | + | 7.96608i | 1.23883 | + | 0.513140i | 0.903349 | − | 0.428907i | \(-0.141101\pi\) |
0.335481 | + | 0.942047i | \(0.391101\pi\) | |||||||
\(242\) | 3.79195 | − | 8.31211i | 0.243756 | − | 0.534322i | ||||
\(243\) | 0.773010 | + | 0.634393i | 0.0495886 | + | 0.0406963i | ||||
\(244\) | −5.51242 | + | 0.152090i | −0.352896 | + | 0.00973658i | ||||
\(245\) | 15.1495 | − | 4.59556i | 0.967868 | − | 0.293600i | ||||
\(246\) | 13.4373 | + | 4.59992i | 0.856733 | + | 0.293280i | ||||
\(247\) | 1.18881 | − | 1.77918i | 0.0756422 | − | 0.113207i | ||||
\(248\) | 3.43439 | − | 4.11961i | 0.218084 | − | 0.261596i | ||||
\(249\) | −9.97189 | + | 6.66300i | −0.631943 | + | 0.422251i | ||||
\(250\) | 7.76916 | − | 13.3770i | 0.491365 | − | 0.846039i | ||||
\(251\) | 0.432097 | + | 0.526511i | 0.0272737 | + | 0.0332331i | 0.786469 | − | 0.617630i | \(-0.211907\pi\) |
−0.759195 | + | 0.650863i | \(0.774407\pi\) | |||||||
\(252\) | 6.03715 | + | 3.01588i | 0.380305 | + | 0.189983i | ||||
\(253\) | −14.7039 | + | 7.85941i | −0.924427 | + | 0.494117i | ||||
\(254\) | −10.1795 | + | 6.29376i | −0.638716 | + | 0.394906i | ||||
\(255\) | −8.50646 | −0.532695 | ||||||||
\(256\) | −4.45805 | + | 15.3664i | −0.278628 | + | 0.960399i | ||||
\(257\) | −9.14421 | −0.570400 | −0.285200 | − | 0.958468i | \(-0.592060\pi\) | ||||
−0.285200 | + | 0.958468i | \(0.592060\pi\) | |||||||
\(258\) | −5.29488 | + | 3.27372i | −0.329645 | + | 0.203813i | ||||
\(259\) | 33.5856 | − | 17.9519i | 2.08691 | − | 1.11548i | ||||
\(260\) | −1.91846 | − | 0.958373i | −0.118978 | − | 0.0594358i | ||||
\(261\) | −3.17929 | − | 3.87398i | −0.196793 | − | 0.239793i | ||||
\(262\) | 5.13447 | − | 8.84060i | 0.317209 | − | 0.546174i | ||||
\(263\) | 10.2703 | − | 6.86240i | 0.633294 | − | 0.423153i | −0.197059 | − | 0.980392i | \(-0.563139\pi\) |
0.830353 | + | 0.557238i | \(0.188139\pi\) | |||||||
\(264\) | −4.62887 | − | 3.85894i | −0.284887 | − | 0.237501i | ||||
\(265\) | −16.5540 | + | 24.7747i | −1.01690 | + | 1.52190i | ||||
\(266\) | 32.5224 | + | 11.1332i | 1.99408 | + | 0.682620i | ||||
\(267\) | 0.232884 | − | 0.0706447i | 0.0142523 | − | 0.00432339i | ||||
\(268\) | −3.25125 | + | 0.0897035i | −0.198602 | + | 0.00547952i | ||||
\(269\) | −15.3824 | − | 12.6240i | −0.937880 | − | 0.769698i | 0.0353873 | − | 0.999374i | \(-0.488734\pi\) |
−0.973267 | + | 0.229675i | \(0.926234\pi\) | |||||||
\(270\) | 2.11880 | − | 4.64449i | 0.128946 | − | 0.282655i | ||||
\(271\) | −3.03075 | − | 1.25538i | −0.184105 | − | 0.0762588i | 0.288727 | − | 0.957412i | \(-0.406768\pi\) |
−0.472832 | + | 0.881153i | \(0.656768\pi\) | |||||||
\(272\) | −8.11434 | − | 4.79674i | −0.492004 | − | 0.290845i | ||||
\(273\) | −0.926015 | + | 0.383568i | −0.0560450 | + | 0.0232146i | ||||
\(274\) | −0.458979 | + | 12.9985i | −0.0277280 | + | 0.785266i | ||||
\(275\) | 1.67706 | + | 17.0275i | 0.101131 | + | 1.02680i | ||||
\(276\) | −3.47536 | − | 15.2594i | −0.209192 | − | 0.918506i | ||||
\(277\) | 10.8915 | − | 20.3766i | 0.654408 | − | 1.22431i | −0.307658 | − | 0.951497i | \(-0.599545\pi\) |
0.962067 | − | 0.272815i | \(-0.0879546\pi\) | |||||||
\(278\) | −2.53695 | + | 2.87788i | −0.152156 | + | 0.172604i | ||||
\(279\) | −1.85982 | + | 0.369941i | −0.111344 | + | 0.0221478i | ||||
\(280\) | 6.98144 | − | 33.7362i | 0.417221 | − | 2.01612i | ||||
\(281\) | 0.910062 | − | 4.57519i | 0.0542897 | − | 0.272933i | −0.944100 | − | 0.329659i | \(-0.893066\pi\) |
0.998390 | + | 0.0567261i | \(0.0180662\pi\) | |||||||
\(282\) | −0.529970 | − | 0.0711584i | −0.0315593 | − | 0.00423742i | ||||
\(283\) | 1.30203 | − | 13.2198i | 0.0773978 | − | 0.785833i | −0.875636 | − | 0.482971i | \(-0.839558\pi\) |
0.953034 | − | 0.302862i | \(-0.0979423\pi\) | |||||||
\(284\) | 26.4609 | − | 3.34533i | 1.57016 | − | 0.198509i | ||||
\(285\) | 7.54835 | − | 24.8836i | 0.447126 | − | 1.47398i | ||||
\(286\) | 0.883479 | − | 0.143531i | 0.0522412 | − | 0.00848716i | ||||
\(287\) | −23.9621 | − | 23.9621i | −1.41444 | − | 1.41444i | ||||
\(288\) | 4.64013 | − | 3.23562i | 0.273422 | − | 0.190661i | ||||
\(289\) | −8.09411 | + | 8.09411i | −0.476124 | + | 0.476124i | ||||
\(290\) | −14.9554 | + | 20.7573i | −0.878210 | + | 1.21891i | ||||
\(291\) | −1.08032 | − | 0.327711i | −0.0633294 | − | 0.0192108i | ||||
\(292\) | 17.8522 | − | 10.1849i | 1.04472 | − | 0.596028i | ||||
\(293\) | 8.60381 | + | 0.847402i | 0.502640 | + | 0.0495057i | 0.346160 | − | 0.938175i | \(-0.387485\pi\) |
0.156480 | + | 0.987681i | \(0.449985\pi\) | |||||||
\(294\) | −3.76306 | − | 4.93030i | −0.219466 | − | 0.287541i | ||||
\(295\) | 25.9473 | + | 5.16124i | 1.51071 | + | 0.300499i | ||||
\(296\) | 0.246184 | − | 31.9210i | 0.0143092 | − | 1.85537i | ||||
\(297\) | 0.415672 | + | 2.08973i | 0.0241198 | + | 0.121258i | ||||
\(298\) | 0.118986 | + | 1.88981i | 0.00689269 | + | 0.109474i | ||||
\(299\) | 2.04994 | + | 1.09571i | 0.118551 | + | 0.0633668i | ||||
\(300\) | −15.8324 | − | 2.69763i | −0.914084 | − | 0.155748i | ||||
\(301\) | 14.7816 | − | 1.45586i | 0.851996 | − | 0.0839143i | ||||
\(302\) | −1.07030 | + | 0.997297i | −0.0615891 | + | 0.0573880i | ||||
\(303\) | 1.41699 | + | 3.42092i | 0.0814041 | + | 0.196527i | ||||
\(304\) | 21.2321 | − | 19.4801i | 1.21774 | − | 1.11726i | ||||
\(305\) | 3.80885 | − | 9.19538i | 0.218094 | − | 0.526526i | ||||
\(306\) | 1.16590 | + | 3.12203i | 0.0666499 | + | 0.178475i | ||||
\(307\) | 16.0746 | − | 19.5870i | 0.917426 | − | 1.11789i | −0.0752606 | − | 0.997164i | \(-0.523979\pi\) |
0.992686 | − | 0.120723i | \(-0.0385211\pi\) | |||||||
\(308\) | 5.86685 | + | 13.1275i | 0.334295 | + | 0.748011i | ||||
\(309\) | −1.46213 | − | 4.82000i | −0.0831778 | − | 0.274200i | ||||
\(310\) | 4.25915 | + | 8.69296i | 0.241903 | + | 0.493727i | ||||
\(311\) | −2.31221 | − | 1.54497i | −0.131113 | − | 0.0876071i | 0.488284 | − | 0.872685i | \(-0.337623\pi\) |
−0.619397 | + | 0.785078i | \(0.712623\pi\) | |||||||
\(312\) | −0.0887970 | + | 0.835466i | −0.00502714 | + | 0.0472989i | ||||
\(313\) | −5.15492 | − | 7.71488i | −0.291373 | − | 0.436071i | 0.656686 | − | 0.754164i | \(-0.271958\pi\) |
−0.948060 | + | 0.318093i | \(0.896958\pi\) | |||||||
\(314\) | 0.257514 | + | 0.971034i | 0.0145324 | + | 0.0547986i | ||||
\(315\) | −9.41547 | + | 7.72708i | −0.530502 | + | 0.435371i | ||||
\(316\) | −20.8109 | − | 23.9778i | −1.17070 | − | 1.34886i | ||||
\(317\) | 14.2684 | + | 26.6943i | 0.801394 | + | 1.49930i | 0.865248 | + | 0.501343i | \(0.167161\pi\) |
−0.0638545 | + | 0.997959i | \(0.520339\pi\) | |||||||
\(318\) | 11.3617 | + | 2.67999i | 0.637132 | + | 0.150286i | ||||
\(319\) | − | 10.6779i | − | 0.597850i | ||||||
\(320\) | −22.0378 | − | 18.6621i | −1.23195 | − | 1.04324i | ||||
\(321\) | 12.8357i | 0.716422i | ||||||||
\(322\) | −8.57264 | + | 36.3433i | −0.477735 | + | 2.02533i | ||||
\(323\) | 8.00220 | + | 14.9711i | 0.445254 | + | 0.833012i | ||||
\(324\) | −1.99502 | − | 0.141065i | −0.110834 | − | 0.00783696i | ||||
\(325\) | 1.84391 | − | 1.51326i | 0.102282 | − | 0.0839404i | ||||
\(326\) | −16.9918 | + | 4.50616i | −0.941089 | + | 0.249573i | ||||
\(327\) | 1.32535 | + | 1.98352i | 0.0732918 | + | 0.109689i | ||||
\(328\) | −27.2454 | + | 8.03587i | −1.50437 | + | 0.443707i | ||||
\(329\) | 1.06082 | + | 0.708818i | 0.0584850 | + | 0.0390784i | ||||
\(330\) | 9.76758 | − | 4.78566i | 0.537688 | − | 0.263442i | ||||
\(331\) | −0.459900 | − | 1.51609i | −0.0252784 | − | 0.0833316i | 0.943394 | − | 0.331675i | \(-0.107614\pi\) |
−0.968672 | + | 0.248344i | \(0.920114\pi\) | |||||||
\(332\) | 8.56444 | − | 22.4051i | 0.470035 | − | 1.22964i | ||||
\(333\) | −7.15983 | + | 8.72428i | −0.392356 | + | 0.478088i | ||||
\(334\) | 1.63511 | − | 0.610619i | 0.0894694 | − | 0.0334116i | ||||
\(335\) | 2.24648 | − | 5.42348i | 0.122738 | − | 0.296316i | ||||
\(336\) | −13.3387 | + | 2.06156i | −0.727686 | + | 0.112467i | ||||
\(337\) | −11.7428 | − | 28.3497i | −0.639673 | − | 1.54431i | −0.827116 | − | 0.562031i | \(-0.810020\pi\) |
0.187443 | − | 0.982275i | \(-0.439980\pi\) | |||||||
\(338\) | 12.4481 | + | 13.3594i | 0.677087 | + | 0.726653i | ||||
\(339\) | −16.0212 | + | 1.57795i | −0.870150 | + | 0.0857023i | ||||
\(340\) | 13.8797 | − | 9.83842i | 0.752730 | − | 0.533563i | ||||
\(341\) | −3.56321 | − | 1.90458i | −0.192959 | − | 0.103139i | ||||
\(342\) | −10.1673 | + | 0.640156i | −0.549786 | + | 0.0346157i | ||||
\(343\) | −1.72097 | − | 8.65190i | −0.0929236 | − | 0.467159i | ||||
\(344\) | 4.85312 | − | 11.4656i | 0.261663 | − | 0.618182i | ||||
\(345\) | 27.7038 | + | 5.51062i | 1.49152 | + | 0.296682i | ||||
\(346\) | −15.6378 | + | 11.9355i | −0.840691 | + | 0.641658i | ||||
\(347\) | 20.3397 | + | 2.00329i | 1.09189 | + | 0.107542i | 0.627898 | − | 0.778295i | \(-0.283915\pi\) |
0.463996 | + | 0.885837i | \(0.346415\pi\) | |||||||
\(348\) | 9.66811 | + | 2.64391i | 0.518265 | + | 0.141729i | ||||
\(349\) | −6.57366 | − | 1.99410i | −0.351880 | − | 0.106742i | 0.109396 | − | 0.993998i | \(-0.465108\pi\) |
−0.461276 | + | 0.887257i | \(0.652608\pi\) | |||||||
\(350\) | 31.0908 | + | 22.4006i | 1.66187 | + | 1.19736i | ||||
\(351\) | 0.210043 | − | 0.210043i | 0.0112113 | − | 0.0112113i | ||||
\(352\) | 12.0159 | + | 0.942816i | 0.640451 | + | 0.0502523i | ||||
\(353\) | −1.59901 | − | 1.59901i | −0.0851066 | − | 0.0851066i | 0.663272 | − | 0.748378i | \(-0.269167\pi\) |
−0.748378 | + | 0.663272i | \(0.769167\pi\) | |||||||
\(354\) | −1.66207 | − | 10.2306i | −0.0883378 | − | 0.543748i | ||||
\(355\) | −13.9739 | + | 46.0659i | −0.741659 | + | 2.44492i | ||||
\(356\) | −0.298282 | + | 0.384618i | −0.0158089 | + | 0.0203847i | ||||
\(357\) | 0.779388 | − | 7.91326i | 0.0412496 | − | 0.418814i | ||||
\(358\) | 1.62859 | − | 12.1294i | 0.0860739 | − | 0.641057i | ||||
\(359\) | 4.21564 | − | 21.1934i | 0.222493 | − | 1.11855i | −0.694454 | − | 0.719537i | \(-0.744354\pi\) |
0.916947 | − | 0.399010i | \(-0.130646\pi\) | |||||||
\(360\) | 1.91457 | + | 10.0288i | 0.100907 | + | 0.528564i | ||||
\(361\) | −32.2601 | + | 6.41694i | −1.69790 | + | 0.337734i | ||||
\(362\) | 18.0880 | + | 15.9452i | 0.950685 | + | 0.838061i | ||||
\(363\) | 3.04535 | − | 5.69744i | 0.159839 | − | 0.299038i | ||||
\(364\) | 1.06731 | − | 1.69686i | 0.0559425 | − | 0.0889399i | ||||
\(365\) | 3.63603 | + | 36.9172i | 0.190319 | + | 1.93234i | ||||
\(366\) | −3.89692 | − | 0.137601i | −0.203695 | − | 0.00719254i | ||||
\(367\) | −3.38561 | + | 1.40237i | −0.176727 | + | 0.0732029i | −0.469293 | − | 0.883043i | \(-0.655491\pi\) |
0.292565 | + | 0.956246i | \(0.405491\pi\) | |||||||
\(368\) | 23.3193 | + | 20.8786i | 1.21560 | + | 1.08837i | ||||
\(369\) | 9.27847 | + | 3.84327i | 0.483018 | + | 0.200072i | ||||
\(370\) | 52.4182 | + | 23.9130i | 2.72509 | + | 1.24318i | ||||
\(371\) | −21.5303 | − | 17.6695i | −1.11780 | − | 0.917354i | ||||
\(372\) | 2.60672 | − | 2.75465i | 0.135152 | − | 0.142822i | ||||
\(373\) | 19.4731 | − | 5.90710i | 1.00828 | − | 0.305858i | 0.257405 | − | 0.966304i | \(-0.417133\pi\) |
0.750874 | + | 0.660446i | \(0.229633\pi\) | |||||||
\(374\) | −2.29973 | + | 6.71799i | −0.118916 | + | 0.347379i | ||||
\(375\) | 6.07715 | − | 9.09510i | 0.313823 | − | 0.469669i | ||||
\(376\) | 0.947033 | − | 0.496848i | 0.0488395 | − | 0.0256230i | ||||
\(377\) | −1.23777 | + | 0.827054i | −0.0637486 | + | 0.0425955i | ||||
\(378\) | 4.12647 | + | 2.39658i | 0.212243 | + | 0.123267i | ||||
\(379\) | −0.621318 | − | 0.757078i | −0.0319150 | − | 0.0388885i | 0.756808 | − | 0.653637i | \(-0.226758\pi\) |
−0.788723 | + | 0.614748i | \(0.789258\pi\) | |||||||
\(380\) | 16.4635 | + | 49.3318i | 0.844561 | + | 2.53067i | ||||
\(381\) | −7.46339 | + | 3.98926i | −0.382361 | + | 0.204376i | ||||
\(382\) | −19.1858 | − | 31.0309i | −0.981631 | − | 1.58768i | ||||
\(383\) | 35.3357 | 1.80557 | 0.902785 | − | 0.430091i | \(-0.141519\pi\) | ||||
0.902785 | + | 0.430091i | \(0.141519\pi\) | |||||||
\(384\) | −3.82886 | + | 10.6461i | −0.195391 | + | 0.543282i | ||||
\(385\) | −25.9521 | −1.32264 | ||||||||
\(386\) | −8.82192 | − | 14.2685i | −0.449024 | − | 0.726246i | ||||
\(387\) | −3.88211 | + | 2.07503i | −0.197339 | + | 0.105480i | ||||
\(388\) | 2.14174 | − | 0.714763i | 0.108730 | − | 0.0362866i | ||||
\(389\) | 2.10854 | + | 2.56926i | 0.106907 | + | 0.130267i | 0.823715 | − | 0.567004i | \(-0.191898\pi\) |
−0.716808 | + | 0.697271i | \(0.754398\pi\) | |||||||
\(390\) | −1.31129 | − | 0.761576i | −0.0663998 | − | 0.0385639i | ||||
\(391\) | −15.3323 | + | 10.2447i | −0.775386 | + | 0.518096i | ||||
\(392\) | 11.8423 | + | 3.69230i | 0.598128 | + | 0.186489i | ||||
\(393\) | 4.01626 | − | 6.01075i | 0.202593 | − | 0.303202i | ||||
\(394\) | 6.98891 | − | 20.4161i | 0.352096 | − | 1.02855i | ||||
\(395\) | 54.8363 | − | 16.6344i | 2.75911 | − | 0.836968i | ||||
\(396\) | −3.09517 | − | 2.92897i | −0.155538 | − | 0.147186i | ||||
\(397\) | −22.1014 | − | 18.1382i | −1.10924 | − | 0.910329i | −0.112715 | − | 0.993627i | \(-0.535955\pi\) |
−0.996525 | + | 0.0832982i | \(0.973455\pi\) | |||||||
\(398\) | −31.8914 | − | 14.5487i | −1.59857 | − | 0.729262i | ||||
\(399\) | 22.4567 | + | 9.30187i | 1.12424 | + | 0.465676i | ||||
\(400\) | 28.9532 | − | 13.9098i | 1.44766 | − | 0.695492i | ||||
\(401\) | −3.39919 | + | 1.40799i | −0.169748 | + | 0.0703117i | −0.465939 | − | 0.884817i | \(-0.654283\pi\) |
0.296191 | + | 0.955129i | \(0.404283\pi\) | |||||||
\(402\) | −2.29842 | − | 0.0811580i | −0.114635 | − | 0.00404779i | ||||
\(403\) | 0.0552104 | + | 0.560561i | 0.00275023 | + | 0.0279235i | ||||
\(404\) | −6.26863 | − | 3.94292i | −0.311876 | − | 0.196168i | ||||
\(405\) | 1.70162 | − | 3.18351i | 0.0845544 | − | 0.158190i | ||||
\(406\) | −17.9395 | − | 15.8143i | −0.890323 | − | 0.784850i | ||||
\(407\) | −23.5849 | + | 4.69132i | −1.16906 | + | 0.232540i | ||||
\(408\) | −5.51324 | − | 3.74565i | −0.272946 | − | 0.185437i | ||||
\(409\) | −2.73853 | + | 13.7675i | −0.135412 | + | 0.680761i | 0.852121 | + | 0.523345i | \(0.175316\pi\) |
−0.987532 | + | 0.157416i | \(0.949684\pi\) | |||||||
\(410\) | 6.82257 | − | 50.8128i | 0.336942 | − | 2.50946i | ||||
\(411\) | −0.901466 | + | 9.15274i | −0.0444660 | + | 0.451471i | ||||
\(412\) | 7.96043 | + | 6.17354i | 0.392182 | + | 0.304148i | ||||
\(413\) | −7.17869 | + | 23.6650i | −0.353240 | + | 1.16448i | ||||
\(414\) | −1.77458 | − | 10.9231i | −0.0872157 | − | 0.536841i | ||||
\(415\) | 30.6121 | + | 30.6121i | 1.50269 | + | 1.50269i | ||||
\(416\) | −0.821398 | − | 1.46590i | −0.0402723 | − | 0.0718716i | ||||
\(417\) | −1.91822 | + | 1.91822i | −0.0939357 | + | 0.0939357i | ||||
\(418\) | −17.6111 | − | 12.6886i | −0.861389 | − | 0.620620i | ||||
\(419\) | −4.23049 | − | 1.28330i | −0.206673 | − | 0.0626935i | 0.185251 | − | 0.982691i | \(-0.440690\pi\) |
−0.391924 | + | 0.919998i | \(0.628190\pi\) | |||||||
\(420\) | 6.42586 | − | 23.4977i | 0.313550 | − | 1.14657i | ||||
\(421\) | 10.9651 | + | 1.07996i | 0.534404 | + | 0.0526342i | 0.361620 | − | 0.932326i | \(-0.382224\pi\) |
0.172784 | + | 0.984960i | \(0.444724\pi\) | |||||||
\(422\) | −10.6800 | + | 8.15148i | −0.519892 | + | 0.396808i | ||||
\(423\) | −0.370843 | − | 0.0737653i | −0.0180310 | − | 0.00358659i | ||||
\(424\) | −21.6381 | + | 8.76789i | −1.05084 | + | 0.425806i | ||||
\(425\) | 3.69181 | + | 18.5600i | 0.179079 | + | 0.900290i | ||||
\(426\) | 18.8223 | − | 1.18509i | 0.911945 | − | 0.0574180i | ||||
\(427\) | 8.20515 | + | 4.38575i | 0.397075 | + | 0.212241i | ||||
\(428\) | −14.8456 | − | 20.9436i | −0.717589 | − | 1.01235i | ||||
\(429\) | 0.629857 | − | 0.0620355i | 0.0304098 | − | 0.00299510i | ||||
\(430\) | 15.3190 | + | 16.4405i | 0.738750 | + | 0.792830i | ||||
\(431\) | −2.57273 | − | 6.21113i | −0.123924 | − | 0.299179i | 0.849727 | − | 0.527224i | \(-0.176767\pi\) |
−0.973651 | + | 0.228044i | \(0.926767\pi\) | |||||||
\(432\) | 3.41835 | − | 2.07723i | 0.164465 | − | 0.0999408i | ||||
\(433\) | −12.7265 | + | 30.7245i | −0.611598 | + | 1.47653i | 0.249647 | + | 0.968337i | \(0.419685\pi\) |
−0.861245 | + | 0.508191i | \(0.830315\pi\) | |||||||
\(434\) | −8.47699 | + | 3.16566i | −0.406908 | + | 0.151956i | ||||
\(435\) | −11.4765 | + | 13.9841i | −0.550254 | + | 0.670486i | ||||
\(436\) | −4.45662 | − | 1.70356i | −0.213433 | − | 0.0815859i | ||||
\(437\) | −16.3630 | − | 53.9416i | −0.782748 | − | 2.58037i | ||||
\(438\) | 13.0510 | − | 6.39437i | 0.623600 | − | 0.305535i | ||||
\(439\) | 8.43765 | + | 5.63786i | 0.402707 | + | 0.269080i | 0.740387 | − | 0.672181i | \(-0.234642\pi\) |
−0.337680 | + | 0.941261i | \(0.609642\pi\) | |||||||
\(440\) | −10.4024 | + | 19.1056i | −0.495914 | + | 0.910823i | ||||
\(441\) | −2.43656 | − | 3.64656i | −0.116026 | − | 0.173646i | ||||
\(442\) | 0.956866 | − | 0.253757i | 0.0455135 | − | 0.0120700i | ||||
\(443\) | −21.8342 | + | 17.9189i | −1.03737 | + | 0.851351i | −0.989065 | − | 0.147481i | \(-0.952883\pi\) |
−0.0483096 | + | 0.998832i | \(0.515383\pi\) | |||||||
\(444\) | 1.59208 | − | 22.5160i | 0.0755567 | − | 1.06856i | ||||
\(445\) | −0.414113 | − | 0.774752i | −0.0196309 | − | 0.0367268i | ||||
\(446\) | −1.09684 | + | 4.65001i | −0.0519370 | + | 0.220185i | ||||
\(447\) | 1.33894i | 0.0633298i | ||||||||
\(448\) | 19.3799 | − | 18.7911i | 0.915613 | − | 0.887795i | ||||
\(449\) | − | 19.5816i | − | 0.924114i | −0.886850 | − | 0.462057i | \(-0.847112\pi\) | ||
0.886850 | − | 0.462057i | \(-0.152888\pi\) | |||||||
\(450\) | −11.0532 | − | 2.60723i | −0.521053 | − | 0.122906i | ||||
\(451\) | 10.0870 | + | 18.8715i | 0.474979 | + | 0.888623i | ||||
\(452\) | 24.3161 | − | 21.1045i | 1.14373 | − | 0.992670i | ||||
\(453\) | −0.799637 | + | 0.656245i | −0.0375702 | + | 0.0308331i | ||||
\(454\) | 1.62658 | + | 6.13350i | 0.0763391 | + | 0.287860i | ||||
\(455\) | 2.01010 | + | 3.00833i | 0.0942351 | + | 0.141033i | ||||
\(456\) | 15.8492 | − | 12.8039i | 0.742209 | − | 0.599596i | ||||
\(457\) | −31.9163 | − | 21.3258i | −1.49298 | − | 0.997578i | −0.991169 | − | 0.132601i | \(-0.957667\pi\) |
−0.501812 | − | 0.864977i | \(-0.667333\pi\) | |||||||
\(458\) | −14.5670 | − | 29.7313i | −0.680670 | − | 1.38925i | ||||
\(459\) | 0.684063 | + | 2.25505i | 0.0319293 | + | 0.105257i | ||||
\(460\) | −51.5767 | + | 23.0502i | −2.40477 | + | 1.07472i | ||||
\(461\) | 16.7208 | − | 20.3744i | 0.778767 | − | 0.948930i | −0.220885 | − | 0.975300i | \(-0.570895\pi\) |
0.999652 | + | 0.0263697i | \(0.00839471\pi\) | |||||||
\(462\) | 3.55699 | + | 9.52490i | 0.165486 | + | 0.443139i | ||||
\(463\) | −4.78977 | + | 11.5635i | −0.222600 | + | 0.537403i | −0.995241 | − | 0.0974391i | \(-0.968935\pi\) |
0.772642 | + | 0.634842i | \(0.218935\pi\) | |||||||
\(464\) | −18.8330 | + | 6.86799i | −0.874299 | + | 0.318838i | ||||
\(465\) | 2.61947 | + | 6.32395i | 0.121475 | + | 0.293266i | ||||
\(466\) | 17.5991 | − | 16.3986i | 0.815262 | − | 0.759652i | ||||
\(467\) | 6.69804 | − | 0.659700i | 0.309949 | − | 0.0305273i | 0.0581529 | − | 0.998308i | \(-0.481479\pi\) |
0.251796 | + | 0.967780i | \(0.418979\pi\) | |||||||
\(468\) | −0.0997871 | + | 0.585651i | −0.00461266 | + | 0.0270717i | ||||
\(469\) | 4.83944 | + | 2.58673i | 0.223464 | + | 0.119444i | ||||
\(470\) | 0.121291 | + | 1.92641i | 0.00559474 | + | 0.0888588i | ||||
\(471\) | 0.138584 | + | 0.696710i | 0.00638562 | + | 0.0321027i | ||||
\(472\) | 14.5444 | + | 14.7705i | 0.669460 | + | 0.679867i | ||||
\(473\) | −9.19871 | − | 1.82974i | −0.422957 | − | 0.0841314i | ||||
\(474\) | −13.6210 | − | 17.8461i | −0.625634 | − | 0.819697i | ||||
\(475\) | −57.5686 | − | 5.67001i | −2.64143 | − | 0.260158i | ||||
\(476\) | 7.88063 | + | 13.8132i | 0.361208 | + | 0.633126i | ||||
\(477\) | 7.89897 | + | 2.39613i | 0.361669 | + | 0.109711i | ||||
\(478\) | 11.5527 | − | 16.0345i | 0.528407 | − | 0.733401i | ||||
\(479\) | −12.1274 | + | 12.1274i | −0.554114 | + | 0.554114i | −0.927625 | − | 0.373512i | \(-0.878154\pi\) |
0.373512 | + | 0.927625i | \(0.378154\pi\) | |||||||
\(480\) | −14.7230 | − | 14.1492i | −0.672012 | − | 0.645822i | ||||
\(481\) | 2.37057 | + | 2.37057i | 0.108089 | + | 0.108089i | ||||
\(482\) | −29.0578 | + | 4.72076i | −1.32355 | + | 0.215025i | ||||
\(483\) | −7.66464 | + | 25.2669i | −0.348753 | + | 1.14968i | ||||
\(484\) | 1.62058 | + | 12.8185i | 0.0736629 | + | 0.582659i | ||||
\(485\) | −0.399435 | + | 4.05553i | −0.0181374 | + | 0.184152i | ||||
\(486\) | −1.40164 | − | 0.188196i | −0.0635795 | − | 0.00853673i | ||||
\(487\) | −1.22282 | + | 6.14752i | −0.0554111 | + | 0.278571i | −0.998550 | − | 0.0538277i | \(-0.982858\pi\) |
0.943139 | + | 0.332398i | \(0.107858\pi\) | |||||||
\(488\) | 6.51760 | − | 4.28259i | 0.295038 | − | 0.193864i | ||||
\(489\) | −12.1915 | + | 2.42504i | −0.551319 | + | 0.109664i | ||||
\(490\) | −14.8051 | + | 16.7947i | −0.668828 | + | 0.758709i | ||||
\(491\) | 11.8097 | − | 22.0943i | 0.532963 | − | 0.997104i | −0.461001 | − | 0.887399i | \(-0.652510\pi\) |
0.993964 | − | 0.109704i | \(-0.0349904\pi\) | |||||||
\(492\) | −19.5844 | + | 4.46039i | −0.882931 | + | 0.201090i | ||||
\(493\) | −1.15757 | − | 11.7530i | −0.0521342 | − | 0.529327i | ||||
\(494\) | −0.106787 | + | 3.02425i | −0.00480459 | + | 0.136068i | ||||
\(495\) | 7.10571 | − | 2.94328i | 0.319378 | − | 0.132291i | ||||
\(496\) | −1.06732 | + | 7.50954i | −0.0479240 | + | 0.337188i | ||||
\(497\) | −41.5731 | − | 17.2201i | −1.86481 | − | 0.772429i | ||||
\(498\) | 7.03953 | − | 15.4309i | 0.315449 | − | 0.691476i | ||||
\(499\) | −19.2672 | − | 15.8122i | −0.862519 | − | 0.707851i | 0.0952301 | − | 0.995455i | \(-0.469641\pi\) |
−0.957749 | + | 0.287604i | \(0.907141\pi\) | |||||||
\(500\) | 0.603372 | + | 21.8689i | 0.0269836 | + | 0.978005i | ||||
\(501\) | 1.18105 | − | 0.358267i | 0.0527653 | − | 0.0160062i | ||||
\(502\) | −0.911328 | − | 0.311969i | −0.0406746 | − | 0.0139239i | ||||
\(503\) | −14.2432 | + | 21.3164i | −0.635071 | + | 0.950451i | 0.364742 | + | 0.931109i | \(0.381157\pi\) |
−0.999813 | + | 0.0193424i | \(0.993843\pi\) | |||||||
\(504\) | −9.50485 | + | 0.862187i | −0.423380 | + | 0.0384048i | ||||
\(505\) | 11.1135 | − | 7.42581i | 0.494545 | − | 0.330444i | ||||
\(506\) | 11.8418 | − | 20.3893i | 0.526430 | − | 0.906415i | ||||
\(507\) | 8.19114 | + | 9.98093i | 0.363781 | + | 0.443269i | ||||
\(508\) | 7.56381 | − | 15.1411i | 0.335590 | − | 0.671780i | ||||
\(509\) | 5.87960 | − | 3.14271i | 0.260609 | − | 0.139298i | −0.335919 | − | 0.941891i | \(-0.609047\pi\) |
0.596527 | + | 0.802593i | \(0.296547\pi\) | |||||||
\(510\) | 10.2322 | − | 6.32635i | 0.453088 | − | 0.280135i | ||||
\(511\) | −34.6759 | −1.53397 | ||||||||
\(512\) | −6.06570 | − | 21.7992i | −0.268069 | − | 0.963400i | ||||
\(513\) | −7.20362 | −0.318048 | ||||||||
\(514\) | 10.9993 | − | 6.80065i | 0.485158 | − | 0.299964i | ||||
\(515\) | −16.0350 | + | 8.57089i | −0.706587 | + | 0.377679i | ||||
\(516\) | 3.93434 | − | 7.87572i | 0.173200 | − | 0.346709i | ||||
\(517\) | −0.511082 | − | 0.622755i | −0.0224773 | − | 0.0273887i | ||||
\(518\) | −27.0481 | + | 46.5718i | −1.18843 | + | 2.04625i | ||||
\(519\) | −11.5660 | + | 7.72818i | −0.507693 | + | 0.339230i | ||||
\(520\) | 3.02041 | − | 0.273982i | 0.132454 | − | 0.0120149i | ||||
\(521\) | −0.897225 | + | 1.34279i | −0.0393081 | + | 0.0588288i | −0.850603 | − | 0.525808i | \(-0.823763\pi\) |
0.811295 | + | 0.584637i | \(0.198763\pi\) | |||||||
\(522\) | 6.70540 | + | 2.29542i | 0.293487 | + | 0.100468i | ||||
\(523\) | 4.26306 | − | 1.29319i | 0.186411 | − | 0.0565470i | −0.195699 | − | 0.980664i | \(-0.562698\pi\) |
0.382110 | + | 0.924117i | \(0.375198\pi\) | |||||||
\(524\) | 0.398755 | + | 14.4526i | 0.0174197 | + | 0.631367i | ||||
\(525\) | 20.9458 | + | 17.1897i | 0.914148 | + | 0.750222i | ||||
\(526\) | −7.25019 | + | 15.8927i | −0.316123 | + | 0.692955i | ||||
\(527\) | −4.12842 | − | 1.71005i | −0.179837 | − | 0.0744908i | ||||
\(528\) | 8.43786 | + | 1.19926i | 0.367211 | + | 0.0521910i | ||||
\(529\) | 35.3214 | − | 14.6306i | 1.53571 | − | 0.636113i | ||||
\(530\) | 1.48699 | − | 42.1121i | 0.0645908 | − | 1.82923i | ||||
\(531\) | −0.718362 | − | 7.29365i | −0.0311742 | − | 0.316517i | ||||
\(532\) | −47.4001 | + | 10.7955i | −2.05505 | + | 0.468044i | ||||
\(533\) | 1.40628 | − | 2.63096i | 0.0609125 | − | 0.113959i | ||||
\(534\) | −0.227590 | + | 0.258175i | −0.00984879 | + | 0.0111723i | ||||
\(535\) | 45.4435 | − | 9.03928i | 1.96470 | − | 0.390802i | ||||
\(536\) | 3.84411 | − | 2.52589i | 0.166040 | − | 0.109102i | ||||
\(537\) | 1.68826 | − | 8.48744i | 0.0728537 | − | 0.366260i | ||||
\(538\) | 27.8916 | + | 3.74497i | 1.20249 | + | 0.161457i | ||||
\(539\) | 0.915914 | − | 9.29943i | 0.0394512 | − | 0.400555i | ||||
\(540\) | 0.905520 | + | 7.16249i | 0.0389674 | + | 0.308224i | ||||
\(541\) | −6.36575 | + | 20.9851i | −0.273685 | + | 0.902219i | 0.707098 | + | 0.707116i | \(0.250004\pi\) |
−0.980783 | + | 0.195103i | \(0.937496\pi\) | |||||||
\(542\) | 4.57924 | − | 0.743947i | 0.196695 | − | 0.0319553i | ||||
\(543\) | 12.0564 | + | 12.0564i | 0.517389 | + | 0.517389i | ||||
\(544\) | 13.3279 | − | 0.264878i | 0.571428 | − | 0.0113565i | ||||
\(545\) | 6.08909 | − | 6.08909i | 0.260828 | − | 0.260828i | ||||
\(546\) | 0.828611 | − | 1.15007i | 0.0354613 | − | 0.0492184i | ||||
\(547\) | −4.17868 | − | 1.26759i | −0.178668 | − | 0.0541982i | 0.199683 | − | 0.979861i | \(-0.436009\pi\) |
−0.378351 | + | 0.925662i | \(0.623509\pi\) | |||||||
\(548\) | −9.11500 | − | 15.9768i | −0.389374 | − | 0.682495i | ||||
\(549\) | −2.74398 | − | 0.270258i | −0.117110 | − | 0.0115343i | ||||
\(550\) | −14.6808 | − | 19.2346i | −0.625992 | − | 0.820165i | ||||
\(551\) | 35.4076 | + | 7.04302i | 1.50842 | + | 0.300043i | ||||
\(552\) | 15.5290 | + | 15.7704i | 0.660957 | + | 0.671231i | ||||
\(553\) | 10.4501 | + | 52.5363i | 0.444385 | + | 2.23407i | ||||
\(554\) | 2.05323 | + | 32.6105i | 0.0872333 | + | 1.38549i | ||||
\(555\) | 35.9295 | + | 19.2047i | 1.52512 | + | 0.815195i | ||||
\(556\) | 0.911308 | − | 5.34847i | 0.0386481 | − | 0.226826i | ||||
\(557\) | 29.8338 | − | 2.93837i | 1.26410 | − | 0.124503i | 0.556338 | − | 0.830956i | \(-0.312206\pi\) |
0.707760 | + | 0.706453i | \(0.249706\pi\) | |||||||
\(558\) | 1.96199 | − | 1.82816i | 0.0830575 | − | 0.0773920i | ||||
\(559\) | 0.500380 | + | 1.20802i | 0.0211638 | + | 0.0510940i | ||||
\(560\) | 16.6922 | + | 45.7724i | 0.705375 | + | 1.93424i | ||||
\(561\) | −1.92144 | + | 4.63877i | −0.0811233 | + | 0.195849i | ||||
\(562\) | 2.30793 | + | 6.18018i | 0.0973543 | + | 0.260695i | ||||
\(563\) | −2.83429 | + | 3.45359i | −0.119451 | + | 0.145552i | −0.829303 | − | 0.558800i | \(-0.811262\pi\) |
0.709851 | + | 0.704351i | \(0.248762\pi\) | |||||||
\(564\) | 0.690406 | − | 0.308550i | 0.0290713 | − | 0.0129923i | ||||
\(565\) | 16.8691 | + | 55.6099i | 0.709688 | + | 2.33953i | ||||
\(566\) | 8.26551 | + | 16.8700i | 0.347425 | + | 0.709098i | ||||
\(567\) | 2.80560 | + | 1.87464i | 0.117824 | + | 0.0787276i | ||||
\(568\) | −29.3410 | + | 23.7032i | −1.23112 | + | 0.994565i | ||||
\(569\) | −2.90154 | − | 4.34245i | −0.121639 | − | 0.182045i | 0.765653 | − | 0.643254i | \(-0.222416\pi\) |
−0.887292 | + | 0.461209i | \(0.847416\pi\) | |||||||
\(570\) | 9.42651 | + | 35.5455i | 0.394833 | + | 1.48884i | ||||
\(571\) | 17.7727 | − | 14.5857i | 0.743765 | − | 0.610392i | −0.184274 | − | 0.982875i | \(-0.558993\pi\) |
0.928039 | + | 0.372483i | \(0.121493\pi\) | |||||||
\(572\) | −0.955964 | + | 0.829702i | −0.0399709 | + | 0.0346916i | ||||
\(573\) | −12.1608 | − | 22.7513i | −0.508025 | − | 0.950447i | ||||
\(574\) | 46.6442 | + | 11.0024i | 1.94689 | + | 0.459232i | ||||
\(575\) | − | 62.8375i | − | 2.62051i | ||||||
\(576\) | −3.17510 | + | 7.34294i | −0.132296 | + | 0.305956i | ||||
\(577\) | − | 44.6059i | − | 1.85697i | −0.371371 | − | 0.928484i | \(-0.621112\pi\) | ||
0.371371 | − | 0.928484i | \(-0.378888\pi\) | |||||||
\(578\) | 3.71647 | − | 15.7558i | 0.154585 | − | 0.655356i | ||||
\(579\) | −5.59172 | − | 10.4614i | −0.232384 | − | 0.434760i | ||||
\(580\) | 2.55193 | − | 36.0908i | 0.105963 | − | 1.49859i | ||||
\(581\) | −31.2821 | + | 25.6726i | −1.29780 | + | 1.06508i | ||||
\(582\) | 1.54320 | − | 0.409251i | 0.0639678 | − | 0.0169640i | ||||
\(583\) | 9.77102 | + | 14.6234i | 0.404674 | + | 0.605638i | ||||
\(584\) | −13.8992 | + | 25.5280i | −0.575152 | + | 1.05636i | ||||
\(585\) | −0.891551 | − | 0.595716i | −0.0368611 | − | 0.0246298i | ||||
\(586\) | −10.9795 | + | 5.37944i | −0.453558 | + | 0.222223i | ||||
\(587\) | −13.2556 | − | 43.6980i | −0.547119 | − | 1.80361i | −0.593690 | − | 0.804694i | \(-0.702330\pi\) |
0.0465716 | − | 0.998915i | \(-0.485170\pi\) | |||||||
\(588\) | 8.19318 | + | 3.13188i | 0.337881 | + | 0.129157i | ||||
\(589\) | 8.66574 | − | 10.5592i | 0.357066 | − | 0.435086i | ||||
\(590\) | −35.0497 | + | 13.0890i | −1.44297 | + | 0.538866i | ||||
\(591\) | 5.83929 | − | 14.0973i | 0.240196 | − | 0.579885i | ||||
\(592\) | 23.4439 | + | 38.5799i | 0.963537 | + | 1.58562i | ||||
\(593\) | 16.6223 | + | 40.1299i | 0.682597 | + | 1.64794i | 0.759187 | + | 0.650873i | \(0.225597\pi\) |
−0.0765896 | + | 0.997063i | \(0.524403\pi\) | |||||||
\(594\) | −2.05415 | − | 2.20453i | −0.0842828 | − | 0.0904528i | ||||
\(595\) | −28.5649 | + | 2.81339i | −1.17105 | + | 0.115338i | ||||
\(596\) | −1.54860 | − | 2.18470i | −0.0634329 | − | 0.0894888i | ||||
\(597\) | −21.8596 | − | 11.6842i | −0.894654 | − | 0.478203i | ||||
\(598\) | −3.28070 | + | 0.206560i | −0.134158 | + | 0.00844686i | ||||
\(599\) | −5.09492 | − | 25.6139i | −0.208173 | − | 1.04656i | −0.933616 | − | 0.358274i | \(-0.883365\pi\) |
0.725444 | − | 0.688282i | \(-0.241635\pi\) | |||||||
\(600\) | 21.0506 | − | 8.52983i | 0.859386 | − | 0.348229i | ||||
\(601\) | 25.7485 | + | 5.12170i | 1.05030 | + | 0.208919i | 0.689920 | − | 0.723885i | \(-0.257646\pi\) |
0.360384 | + | 0.932804i | \(0.382646\pi\) | |||||||
\(602\) | −16.6976 | + | 12.7444i | −0.680542 | + | 0.519424i | ||||
\(603\) | −1.61841 | − | 0.159400i | −0.0659068 | − | 0.00649126i | ||||
\(604\) | 0.545736 | − | 1.99562i | 0.0222057 | − | 0.0812004i | ||||
\(605\) | −22.3158 | − | 6.76942i | −0.907266 | − | 0.275216i | ||||
\(606\) | −4.24863 | − | 3.06109i | −0.172589 | − | 0.124348i | ||||
\(607\) | −26.3099 | + | 26.3099i | −1.06788 | + | 1.06788i | −0.0703632 | + | 0.997521i | \(0.522416\pi\) |
−0.997521 | + | 0.0703632i | \(0.977584\pi\) | |||||||
\(608\) | −11.0519 | + | 39.2225i | −0.448213 | + | 1.59068i | ||||
\(609\) | −11.9574 | − | 11.9574i | −0.484538 | − | 0.484538i | ||||
\(610\) | 2.25716 | + | 13.8935i | 0.0913895 | + | 0.562532i | ||||
\(611\) | −0.0326034 | + | 0.107479i | −0.00131899 | + | 0.00434814i | ||||
\(612\) | −3.72431 | − | 2.88831i | −0.150546 | − | 0.116753i | ||||
\(613\) | −0.952598 | + | 9.67189i | −0.0384751 | + | 0.390644i | 0.956591 | + | 0.291433i | \(0.0941319\pi\) |
−0.995066 | + | 0.0992112i | \(0.968368\pi\) | |||||||
\(614\) | −4.76860 | + | 35.5154i | −0.192445 | + | 1.43328i | ||||
\(615\) | 7.07251 | − | 35.5559i | 0.285191 | − | 1.43375i | ||||
\(616\) | −16.8201 | − | 11.4275i | −0.677703 | − | 0.460426i | ||||
\(617\) | 2.72071 | − | 0.541183i | 0.109532 | − | 0.0217872i | −0.140020 | − | 0.990149i | \(-0.544717\pi\) |
0.249552 | + | 0.968361i | \(0.419717\pi\) | |||||||
\(618\) | 5.34344 | + | 4.71043i | 0.214945 | + | 0.189481i | ||||
\(619\) | −17.8807 | + | 33.4525i | −0.718687 | + | 1.34457i | 0.211462 | + | 0.977386i | \(0.432178\pi\) |
−0.930149 | + | 0.367183i | \(0.880322\pi\) | |||||||
\(620\) | −11.5883 | − | 7.28892i | −0.465395 | − | 0.292730i | ||||
\(621\) | −0.766990 | − | 7.78738i | −0.0307783 | − | 0.312497i | ||||
\(622\) | 3.93029 | + | 0.138780i | 0.157590 | + | 0.00556457i | ||||
\(623\) | 0.758666 | − | 0.314250i | 0.0303953 | − | 0.0125901i | ||||
\(624\) | −0.514534 | − | 1.07100i | −0.0205978 | − | 0.0428741i | ||||
\(625\) | 0.615206 | + | 0.254827i | 0.0246082 | + | 0.0101931i | ||||
\(626\) | 11.9383 | + | 5.44622i | 0.477152 | + | 0.217675i | ||||
\(627\) | −11.8646 | − | 9.73699i | −0.473825 | − | 0.388858i | ||||
\(628\) | −1.03192 | − | 0.976510i | −0.0411783 | − | 0.0389670i | ||||
\(629\) | −25.4508 | + | 7.72041i | −1.01479 | + | 0.307833i | ||||
\(630\) | 5.57887 | − | 16.2970i | 0.222267 | − | 0.649290i | ||||
\(631\) | −1.00447 | + | 1.50330i | −0.0399874 | + | 0.0598454i | −0.850925 | − | 0.525288i | \(-0.823958\pi\) |
0.810937 | + | 0.585133i | \(0.198958\pi\) | |||||||
\(632\) | 42.8653 | + | 13.3649i | 1.70509 | + | 0.531627i | ||||
\(633\) | −7.89914 | + | 5.27804i | −0.313963 | + | 0.209783i | ||||
\(634\) | −37.0159 | − | 21.4982i | −1.47009 | − | 0.853803i | ||||
\(635\) | 19.3795 | + | 23.6139i | 0.769051 | + | 0.937091i | ||||
\(636\) | −15.6598 | + | 5.22614i | −0.620950 | + | 0.207230i | ||||
\(637\) | −1.14892 | + | 0.614111i | −0.0455219 | + | 0.0243320i | ||||
\(638\) | 7.94130 | + | 12.8442i | 0.314399 | + | 0.508505i | ||||
\(639\) | 13.3358 | 0.527554 | ||||||||
\(640\) | 40.3878 | + | 6.05836i | 1.59647 | + | 0.239478i | ||||
\(641\) | −27.2414 | −1.07597 | −0.537986 | − | 0.842954i | \(-0.680815\pi\) | ||||
−0.537986 | + | 0.842954i | \(0.680815\pi\) | |||||||
\(642\) | −9.54609 | − | 15.4397i | −0.376754 | − | 0.609357i | ||||
\(643\) | −11.7474 | + | 6.27909i | −0.463270 | + | 0.247623i | −0.686482 | − | 0.727147i | \(-0.740846\pi\) |
0.223212 | + | 0.974770i | \(0.428346\pi\) | |||||||
\(644\) | −16.7172 | − | 50.0918i | −0.658749 | − | 1.97389i | ||||
\(645\) | 10.0803 | + | 12.2829i | 0.396911 | + | 0.483638i | ||||
\(646\) | −20.7597 | − | 12.0569i | −0.816781 | − | 0.474372i | ||||
\(647\) | −24.1150 | + | 16.1131i | −0.948059 | + | 0.633473i | −0.930468 | − | 0.366373i | \(-0.880600\pi\) |
−0.0175906 | + | 0.999845i | \(0.505600\pi\) | |||||||
\(648\) | 2.50466 | − | 1.31403i | 0.0983923 | − | 0.0516201i | ||||
\(649\) | 8.67552 | − | 12.9838i | 0.340544 | − | 0.509660i | ||||
\(650\) | −1.09256 | + | 3.19159i | −0.0428535 | + | 0.125184i | ||||
\(651\) | −6.12295 | + | 1.85738i | −0.239977 | + | 0.0727963i | ||||
\(652\) | 17.0876 | − | 18.0573i | 0.669204 | − | 0.707179i | ||||
\(653\) | 20.5621 | + | 16.8748i | 0.804655 | + | 0.660363i | 0.944024 | − | 0.329877i | \(-0.107007\pi\) |
−0.139369 | + | 0.990241i | \(0.544507\pi\) | |||||||
\(654\) | −3.06938 | − | 1.40024i | −0.120022 | − | 0.0547538i | ||||
\(655\) | −24.1088 | − | 9.98618i | −0.942007 | − | 0.390192i | ||||
\(656\) | 26.7962 | − | 29.9288i | 1.04622 | − | 1.16852i | ||||
\(657\) | 9.49432 | − | 3.93268i | 0.370409 | − | 0.153428i | ||||
\(658\) | −1.80319 | − | 0.0636710i | −0.0702955 | − | 0.00248216i | ||||
\(659\) | −4.85497 | − | 49.2933i | −0.189123 | − | 1.92020i | −0.356486 | − | 0.934301i | \(-0.616025\pi\) |
0.167363 | − | 0.985895i | \(-0.446475\pi\) | |||||||
\(660\) | −8.18997 | + | 13.0208i | −0.318794 | + | 0.506833i | ||||
\(661\) | 18.8824 | − | 35.3264i | 0.734439 | − | 1.37404i | −0.185763 | − | 0.982595i | \(-0.559476\pi\) |
0.920202 | − | 0.391444i | \(-0.128024\pi\) | |||||||
\(662\) | 1.68073 | + | 1.48162i | 0.0653234 | + | 0.0575848i | ||||
\(663\) | 0.686545 | − | 0.136562i | 0.0266632 | − | 0.00530364i | ||||
\(664\) | 6.36100 | + | 33.3198i | 0.246855 | + | 1.29306i | ||||
\(665\) | 17.1176 | − | 86.0560i | 0.663792 | − | 3.33711i | ||||
\(666\) | 2.12400 | − | 15.8190i | 0.0823032 | − | 0.612974i | ||||
\(667\) | −3.84381 | + | 39.0269i | −0.148833 | + | 1.51113i | ||||
\(668\) | −1.51270 | + | 1.95055i | −0.0585282 | + | 0.0754689i | ||||
\(669\) | −0.980666 | + | 3.23282i | −0.0379147 | + | 0.124988i | ||||
\(670\) | 1.33128 | + | 8.19446i | 0.0514319 | + | 0.316580i | ||||
\(671\) | −4.15411 | − | 4.15411i | −0.160367 | − | 0.160367i | ||||
\(672\) | 14.5115 | − | 12.3999i | 0.559793 | − | 0.478338i | ||||
\(673\) | −17.3544 | + | 17.3544i | −0.668965 | + | 0.668965i | −0.957476 | − | 0.288512i | \(-0.906840\pi\) |
0.288512 | + | 0.957476i | \(0.406840\pi\) | |||||||
\(674\) | 35.2091 | + | 25.3677i | 1.35620 | + | 0.977128i | ||||
\(675\) | −7.68451 | − | 2.33107i | −0.295777 | − | 0.0897229i | ||||
\(676\) | −24.9089 | − | 6.81178i | −0.958035 | − | 0.261991i | ||||
\(677\) | 11.5594 | + | 1.13850i | 0.444264 | + | 0.0437562i | 0.317676 | − | 0.948199i | \(-0.397098\pi\) |
0.126588 | + | 0.991955i | \(0.459598\pi\) | |||||||
\(678\) | 18.0978 | − | 13.8132i | 0.695043 | − | 0.530492i | ||||
\(679\) | −3.73612 | − | 0.743159i | −0.143379 | − | 0.0285198i | ||||
\(680\) | −9.37848 | + | 22.1568i | −0.359648 | + | 0.849674i | ||||
\(681\) | 0.875362 | + | 4.40074i | 0.0335440 | + | 0.168637i | ||||
\(682\) | 5.70253 | − | 0.359043i | 0.218361 | − | 0.0137485i | ||||
\(683\) | 20.0876 | + | 10.7370i | 0.768629 | + | 0.410841i | 0.808599 | − | 0.588360i | \(-0.200226\pi\) |
−0.0399698 | + | 0.999201i | \(0.512726\pi\) | |||||||
\(684\) | 11.7539 | − | 8.33157i | 0.449420 | − | 0.318566i | ||||
\(685\) | 33.0391 | − | 3.25407i | 1.26236 | − | 0.124332i | ||||
\(686\) | 8.50461 | + | 9.12720i | 0.324708 | + | 0.348478i | ||||
\(687\) | −8.95900 | − | 21.6289i | −0.341807 | − | 0.825195i | ||||
\(688\) | 2.68940 | + | 17.4009i | 0.102532 | + | 0.663403i | ||||
\(689\) | 0.938314 | − | 2.26529i | 0.0357469 | − | 0.0863007i | ||||
\(690\) | −37.4223 | + | 13.9750i | −1.42464 | + | 0.532021i | ||||
\(691\) | 5.08478 | − | 6.19582i | 0.193434 | − | 0.235700i | −0.667257 | − | 0.744827i | \(-0.732532\pi\) |
0.860691 | + | 0.509127i | \(0.170032\pi\) | |||||||
\(692\) | 9.93359 | − | 25.9869i | 0.377619 | − | 0.987872i | ||||
\(693\) | 2.08698 | + | 6.87986i | 0.0792779 | + | 0.261344i | ||||
\(694\) | −25.9559 | + | 12.7172i | −0.985273 | + | 0.482738i | ||||
\(695\) | 8.14211 | + | 5.44039i | 0.308848 | + | 0.206366i | ||||
\(696\) | −13.5958 | + | 4.01000i | −0.515346 | + | 0.151999i | ||||
\(697\) | 13.1484 | + | 19.6779i | 0.498030 | + | 0.745354i | ||||
\(698\) | 9.39028 | − | 2.49026i | 0.355427 | − | 0.0942579i | ||||
\(699\) | 13.1485 | − | 10.7907i | 0.497321 | − | 0.408141i | ||||
\(700\) | −54.0577 | − | 3.82236i | −2.04319 | − | 0.144471i | ||||
\(701\) | 6.70206 | + | 12.5387i | 0.253133 | + | 0.473579i | 0.976105 | − | 0.217298i | \(-0.0697244\pi\) |
−0.722972 | + | 0.690877i | \(0.757224\pi\) | |||||||
\(702\) | −0.0964429 | + | 0.408865i | −0.00364000 | + | 0.0154316i | ||||
\(703\) | − | 81.3008i | − | 3.06632i | ||||||
\(704\) | −15.1548 | + | 7.80230i | −0.571167 | + | 0.294060i | ||||
\(705\) | 1.36488i | 0.0514042i | ||||||||
\(706\) | 3.11260 | + | 0.734197i | 0.117144 | + | 0.0276319i | ||||
\(707\) | 5.88971 | + | 11.0189i | 0.221505 | + | 0.414407i | ||||
\(708\) | 9.60783 | + | 11.0699i | 0.361084 | + | 0.416033i | ||||
\(709\) | −16.9130 | + | 13.8801i | −0.635180 | + | 0.521279i | −0.895969 | − | 0.444117i | \(-0.853517\pi\) |
0.260788 | + | 0.965396i | \(0.416017\pi\) | |||||||
\(710\) | −17.4509 | − | 65.8038i | −0.654920 | − | 2.46957i | ||||
\(711\) | −8.81953 | − | 13.1994i | −0.330758 | − | 0.495014i | ||||
\(712\) | 0.0727497 | − | 0.684481i | 0.00272641 | − | 0.0256520i | ||||
\(713\) | 12.3376 | + | 8.24372i | 0.462047 | + | 0.308730i | ||||
\(714\) | 4.94767 | + | 10.0982i | 0.185162 | + | 0.377917i | ||||
\(715\) | −0.663192 | − | 2.18625i | −0.0248020 | − | 0.0817612i | ||||
\(716\) | 7.06176 | + | 15.8012i | 0.263910 | + | 0.590520i | ||||
\(717\) | 8.86529 | − | 10.8024i | 0.331080 | − | 0.403422i | ||||
\(718\) | 10.6909 | + | 28.6282i | 0.398982 | + | 1.06839i | ||||
\(719\) | 6.91380 | − | 16.6914i | 0.257841 | − | 0.622484i | −0.740954 | − | 0.671556i | \(-0.765626\pi\) |
0.998795 | + | 0.0490719i | \(0.0156263\pi\) | |||||||
\(720\) | −9.76150 | − | 10.6394i | −0.363790 | − | 0.396509i | ||||
\(721\) | −6.50401 | − | 15.7021i | −0.242222 | − | 0.584776i | ||||
\(722\) | 34.0324 | − | 31.7109i | 1.26655 | − | 1.18016i | ||||
\(723\) | −20.7161 | + | 2.04036i | −0.770441 | + | 0.0758818i | ||||
\(724\) | −33.6161 | − | 5.72774i | −1.24933 | − | 0.212870i | ||||
\(725\) | 35.4922 | + | 18.9710i | 1.31815 | + | 0.704565i | ||||
\(726\) | 0.574097 | + | 9.11814i | 0.0213068 | + | 0.338406i | ||||
\(727\) | −0.212620 | − | 1.06891i | −0.00788562 | − | 0.0396437i | 0.976642 | − | 0.214872i | \(-0.0689335\pi\) |
−0.984528 | + | 0.175229i | \(0.943934\pi\) | |||||||
\(728\) | −0.0218634 | + | 2.83488i | −0.000810313 | + | 0.105068i | ||||
\(729\) | −0.980785 | − | 0.195090i | −0.0363254 | − | 0.00722557i | ||||
\(730\) | −31.8294 | − | 41.7025i | −1.17806 | − | 1.54348i | ||||
\(731\) | −10.3232 | − | 1.01674i | −0.381816 | − | 0.0376056i | ||||
\(732\) | 4.78982 | − | 2.73267i | 0.177037 | − | 0.101002i | ||||
\(733\) | −27.0876 | − | 8.21692i | −1.00050 | − | 0.303499i | −0.252789 | − | 0.967521i | \(-0.581348\pi\) |
−0.747712 | + | 0.664023i | \(0.768848\pi\) | |||||||
\(734\) | 3.02949 | − | 4.20478i | 0.111821 | − | 0.155201i | ||||
\(735\) | −11.1944 | + | 11.1944i | −0.412910 | + | 0.412910i | ||||
\(736\) | −43.5777 | − | 7.77136i | −1.60630 | − | 0.286456i | ||||
\(737\) | −2.45011 | − | 2.45011i | −0.0902510 | − | 0.0902510i | ||||
\(738\) | −14.0191 | + | 2.27755i | −0.516049 | + | 0.0838378i | ||||
\(739\) | −4.39788 | + | 14.4979i | −0.161779 | + | 0.533312i | −0.999926 | − | 0.0121307i | \(-0.996139\pi\) |
0.838148 | + | 0.545443i | \(0.183639\pi\) | |||||||
\(740\) | −80.8366 | + | 10.2198i | −2.97161 | + | 0.375687i | ||||
\(741\) | −0.209737 | + | 2.12950i | −0.00770489 | + | 0.0782291i | ||||
\(742\) | 39.0392 | + | 5.24174i | 1.43317 | + | 0.192430i | ||||
\(743\) | −2.06682 | + | 10.3906i | −0.0758244 | + | 0.381195i | −1.00000 | 0.000773726i | \(-0.999754\pi\) | |
0.924175 | + | 0.381968i | \(0.124754\pi\) | |||||||
\(744\) | −1.08689 | + | 5.25213i | −0.0398472 | + | 0.192552i | ||||
\(745\) | 4.74037 | − | 0.942919i | 0.173674 | − | 0.0345459i | ||||
\(746\) | −19.0304 | + | 21.5878i | −0.696753 | + | 0.790386i | ||||
\(747\) | 5.65350 | − | 10.5770i | 0.206851 | − | 0.386991i | ||||
\(748\) | −2.22997 | − | 9.79120i | −0.0815359 | − | 0.358002i | ||||
\(749\) | 4.24525 | + | 43.1027i | 0.155118 | + | 1.57494i | ||||
\(750\) | −0.545892 | + | 15.4599i | −0.0199332 | + | 0.564514i | ||||
\(751\) | 20.9477 | − | 8.67684i | 0.764394 | − | 0.316622i | 0.0337946 | − | 0.999429i | \(-0.489241\pi\) |
0.730599 | + | 0.682806i | \(0.239241\pi\) | |||||||
\(752\) | −0.769645 | + | 1.30196i | −0.0280661 | + | 0.0474776i | ||||
\(753\) | −0.629271 | − | 0.260653i | −0.0229319 | − | 0.00949871i | ||||
\(754\) | 0.873791 | − | 1.91538i | 0.0318216 | − | 0.0697542i | ||||
\(755\) | 2.88649 | + | 2.36888i | 0.105050 | + | 0.0862124i | ||||
\(756\) | −6.74597 | + | 0.186125i | −0.245349 | + | 0.00676929i | ||||
\(757\) | 43.5223 | − | 13.2024i | 1.58185 | − | 0.479848i | 0.627516 | − | 0.778604i | \(-0.284072\pi\) |
0.954330 | + | 0.298756i | \(0.0965717\pi\) | |||||||
\(758\) | 1.31041 | + | 0.448585i | 0.0475963 | + | 0.0162933i | ||||
\(759\) | 9.26280 | − | 13.8628i | 0.336218 | − | 0.503186i | ||||
\(760\) | −56.4921 | − | 47.0956i | −2.04918 | − | 1.70834i | ||||
\(761\) | 23.2311 | − | 15.5225i | 0.842127 | − | 0.562692i | −0.0580008 | − | 0.998317i | \(-0.518473\pi\) |
0.900128 | + | 0.435625i | \(0.143473\pi\) | |||||||
\(762\) | 6.01062 | − | 10.3492i | 0.217742 | − | 0.374911i | ||||
\(763\) | 5.10656 | + | 6.22236i | 0.184870 | + | 0.225265i | ||||
\(764\) | 46.1560 | + | 23.0574i | 1.66987 | + | 0.834187i | ||||
\(765\) | 7.50203 | − | 4.00992i | 0.271236 | − | 0.144979i | ||||
\(766\) | −42.5042 | + | 26.2796i | −1.53574 | + | 0.949519i | ||||
\(767\) | −2.17703 | −0.0786079 | ||||||||
\(768\) | −3.31202 | − | 15.6535i | −0.119512 | − | 0.564845i | ||||
\(769\) | −11.2725 | −0.406498 | −0.203249 | − | 0.979127i | \(-0.565150\pi\) | ||||
−0.203249 | + | 0.979127i | \(0.565150\pi\) | |||||||
\(770\) | 31.2169 | − | 19.3008i | 1.12498 | − | 0.695554i | ||||
\(771\) | 8.06447 | − | 4.31055i | 0.290435 | − | 0.155241i | ||||
\(772\) | 21.2232 | + | 10.6021i | 0.763841 | + | 0.381580i | ||||
\(773\) | −23.1461 | − | 28.2036i | −0.832506 | − | 1.01441i | −0.999595 | − | 0.0284697i | \(-0.990937\pi\) |
0.167089 | − | 0.985942i | \(-0.446563\pi\) | |||||||
\(774\) | 3.12644 | − | 5.38315i | 0.112378 | − | 0.193493i | ||||
\(775\) | 12.6612 | − | 8.45992i | 0.454803 | − | 0.303889i | ||||
\(776\) | −2.04465 | + | 2.45260i | −0.0733988 | + | 0.0880432i | ||||
\(777\) | −21.1574 | + | 31.6643i | −0.759018 | + | 1.13595i | ||||
\(778\) | −4.44708 | − | 1.52234i | −0.159435 | − | 0.0545785i | ||||
\(779\) | −69.2304 | + | 21.0008i | −2.48043 | + | 0.752432i | ||||
\(780\) | 2.14370 | − | 0.0591458i | 0.0767569 | − | 0.00211776i | ||||
\(781\) | 21.9643 | + | 18.0257i | 0.785946 | + | 0.645009i | ||||
\(782\) | 10.8236 | − | 23.7258i | 0.387052 | − | 0.848432i | ||||
\(783\) | 4.63007 | + | 1.91784i | 0.165465 | + | 0.0685379i | ||||
\(784\) | −16.9908 | + | 4.36592i | −0.606813 | + | 0.155926i | ||||
\(785\) | 2.36903 | − | 0.981284i | 0.0845543 | − | 0.0350235i | ||||
\(786\) | −0.360768 | + | 10.2171i | −0.0128682 | + | 0.364431i | ||||
\(787\) | 1.77900 | + | 18.0625i | 0.0634144 | + | 0.643858i | 0.973384 | + | 0.229182i | \(0.0736050\pi\) |
−0.909969 | + | 0.414676i | \(0.863895\pi\) | |||||||
\(788\) | 6.77692 | + | 29.7556i | 0.241418 | + | 1.06000i | ||||
\(789\) | −5.82269 | + | 10.8935i | −0.207293 | + | 0.387818i | ||||
\(790\) | −53.5897 | + | 60.7914i | −1.90664 | + | 2.16286i | ||||
\(791\) | −53.2775 | + | 10.5976i | −1.89433 | + | 0.376806i | ||||
\(792\) | 5.90139 | + | 1.22125i | 0.209697 | + | 0.0433951i | ||||
\(793\) | −0.159785 | + | 0.803293i | −0.00567413 | + | 0.0285258i | ||||
\(794\) | 40.0747 | + | 5.38078i | 1.42220 | + | 0.190957i | ||||
\(795\) | 2.92055 | − | 29.6529i | 0.103581 | − | 1.05168i | ||||
\(796\) | 49.1812 | − | 6.21776i | 1.74318 | − | 0.220383i | ||||
\(797\) | 16.1806 | − | 53.3402i | 0.573145 | − | 1.88941i | 0.134024 | − | 0.990978i | \(-0.457210\pi\) |
0.439121 | − | 0.898428i | \(-0.355290\pi\) | |||||||
\(798\) | −33.9304 | + | 5.51236i | −1.20112 | + | 0.195135i | ||||
\(799\) | −0.630048 | − | 0.630048i | −0.0222895 | − | 0.0222895i | ||||
\(800\) | −24.4819 | + | 38.2645i | −0.865568 | + | 1.35285i | ||||
\(801\) | −0.172084 | + | 0.172084i | −0.00608029 | + | 0.00608029i | ||||
\(802\) | 3.04164 | − | 4.22165i | 0.107404 | − | 0.149071i | ||||
\(803\) | 20.9531 | + | 6.35606i | 0.739420 | + | 0.224300i | ||||
\(804\) | 2.82506 | − | 1.61174i | 0.0996322 | − | 0.0568417i | ||||
\(805\) | 94.8524 | + | 9.34214i | 3.34311 | + | 0.329267i | ||||
\(806\) | −0.483306 | − | 0.633221i | −0.0170237 | − | 0.0223043i | ||||
\(807\) | 19.5170 | + | 3.88216i | 0.687029 | + | 0.136659i | ||||
\(808\) | 10.4727 | + | 0.0807688i | 0.368429 | + | 0.00284144i | ||||
\(809\) | 2.21539 | + | 11.1375i | 0.0778890 | + | 0.391574i | 0.999989 | + | 0.00462347i | \(0.00147170\pi\) |
−0.922100 | + | 0.386951i | \(0.873528\pi\) | |||||||
\(810\) | 0.320784 | + | 5.09487i | 0.0112712 | + | 0.179015i | ||||
\(811\) | 28.8806 | + | 15.4370i | 1.01413 | + | 0.542066i | 0.892756 | − | 0.450540i | \(-0.148769\pi\) |
0.121378 | + | 0.992606i | \(0.461269\pi\) | |||||||
\(812\) | 33.3401 | + | 5.68072i | 1.17001 | + | 0.199354i | ||||
\(813\) | 3.26467 | − | 0.321541i | 0.114497 | − | 0.0112770i | ||||
\(814\) | 24.8805 | − | 23.1834i | 0.872062 | − | 0.812577i | ||||
\(815\) | 17.1712 | + | 41.4549i | 0.601480 | + | 1.45210i | ||||
\(816\) | 9.41738 | + | 0.405271i | 0.329674 | + | 0.0141873i | ||||
\(817\) | 12.1347 | − | 29.2957i | 0.424538 | − | 1.02493i | ||||
\(818\) | −6.94497 | − | 18.5972i | −0.242825 | − | 0.650237i | ||||
\(819\) | 0.635859 | − | 0.774797i | 0.0222187 | − | 0.0270736i | ||||
\(820\) | 29.5834 | + | 66.1951i | 1.03310 | + | 2.31163i | ||||
\(821\) | 13.3488 | + | 44.0049i | 0.465875 | + | 1.53578i | 0.803969 | + | 0.594671i | \(0.202718\pi\) |
−0.338095 | + | 0.941112i | \(0.609782\pi\) | |||||||
\(822\) | −5.72265 | − | 11.6800i | −0.199600 | − | 0.407386i | ||||
\(823\) | −34.8743 | − | 23.3022i | −1.21564 | − | 0.812265i | −0.228723 | − | 0.973492i | \(-0.573455\pi\) |
−0.986917 | + | 0.161227i | \(0.948455\pi\) | |||||||
\(824\) | −14.1667 | − | 1.50570i | −0.493520 | − | 0.0524535i | ||||
\(825\) | −9.50573 | − | 14.2263i | −0.330947 | − | 0.495297i | ||||
\(826\) | −8.96487 | − | 33.8047i | −0.311928 | − | 1.17622i | ||||
\(827\) | −28.4713 | + | 23.3658i | −0.990045 | + | 0.812509i | −0.982272 | − | 0.187461i | \(-0.939974\pi\) |
−0.00777258 | + | 0.999970i | \(0.502474\pi\) | |||||||
\(828\) | 10.2582 | + | 11.8193i | 0.356498 | + | 0.410749i | ||||
\(829\) | −21.7905 | − | 40.7671i | −0.756815 | − | 1.41590i | −0.904327 | − | 0.426841i | \(-0.859626\pi\) |
0.147512 | − | 0.989060i | \(-0.452874\pi\) | |||||||
\(830\) | −59.5889 | − | 14.0558i | −2.06836 | − | 0.487884i | ||||
\(831\) | 23.1048i | 0.801496i | ||||||||
\(832\) | 2.07824 | + | 1.15240i | 0.0720500 | + | 0.0399523i | ||||
\(833\) | − | 10.3350i | − | 0.358086i | ||||||
\(834\) | 0.880767 | − | 3.73397i | 0.0304985 | − | 0.129297i | ||||
\(835\) | −2.10013 | − | 3.92906i | −0.0726779 | − | 0.135971i | ||||
\(836\) | 30.6206 | + | 2.16514i | 1.05903 | + | 0.0748830i | ||||
\(837\) | 1.46582 | − | 1.20297i | 0.0506663 | − | 0.0415807i | ||||
\(838\) | 6.04313 | − | 1.60261i | 0.208756 | − | 0.0553613i | ||||
\(839\) | −6.96911 | − | 10.4300i | −0.240600 | − | 0.360084i | 0.691443 | − | 0.722431i | \(-0.256975\pi\) |
−0.932043 | + | 0.362347i | \(0.881975\pi\) | |||||||
\(840\) | 9.74605 | + | 33.0437i | 0.336271 | + | 1.14012i | ||||
\(841\) | 3.22972 | + | 2.15803i | 0.111370 | + | 0.0744149i | ||||
\(842\) | −13.9927 | + | 6.85578i | −0.482221 | + | 0.236266i | ||||
\(843\) | 1.35413 | + | 4.46396i | 0.0466386 | + | 0.153747i | ||||
\(844\) | 6.78424 | − | 17.7480i | 0.233523 | − | 0.610910i | ||||
\(845\) | 29.5679 | − | 36.0286i | 1.01717 | − | 1.23942i | ||||
\(846\) | 0.500936 | − | 0.187070i | 0.0172225 | − | 0.00643160i | ||||
\(847\) | 8.34199 | − | 20.1393i | 0.286634 | − | 0.691996i | ||||
\(848\) | 19.5070 | − | 26.6391i | 0.669872 | − | 0.914790i | ||||
\(849\) | 5.08346 | + | 12.2726i | 0.174464 | + | 0.421193i | ||||
\(850\) | −18.2440 | − | 19.5796i | −0.625764 | − | 0.671574i | ||||
\(851\) | 87.8893 | − | 8.65634i | 3.01281 | − | 0.296735i | ||||
\(852\) | −21.7594 | + | 15.4239i | −0.745466 | + | 0.528414i | ||||
\(853\) | −44.8394 | − | 23.9671i | −1.53527 | − | 0.820620i | −0.535556 | − | 0.844499i | \(-0.679898\pi\) |
−0.999715 | + | 0.0238799i | \(0.992398\pi\) | |||||||
\(854\) | −13.1315 | + | 0.826784i | −0.449349 | + | 0.0282920i | ||||
\(855\) | 5.07298 | + | 25.5036i | 0.173492 | + | 0.872205i | ||||
\(856\) | 33.4333 | + | 14.1516i | 1.14273 | + | 0.483691i | ||||
\(857\) | −14.5566 | − | 2.89550i | −0.497245 | − | 0.0989083i | −0.0599046 | − | 0.998204i | \(-0.519080\pi\) |
−0.437341 | + | 0.899296i | \(0.644080\pi\) | |||||||
\(858\) | −0.711499 | + | 0.543052i | −0.0242902 | + | 0.0185395i | ||||
\(859\) | −24.5781 | − | 2.42073i | −0.838594 | − | 0.0825943i | −0.330404 | − | 0.943839i | \(-0.607185\pi\) |
−0.508190 | + | 0.861245i | \(0.669685\pi\) | |||||||
\(860\) | −30.6538 | − | 8.38281i | −1.04528 | − | 0.285851i | ||||
\(861\) | 32.4284 | + | 9.83704i | 1.10516 | + | 0.335246i | ||||
\(862\) | 7.71394 | + | 5.55780i | 0.262738 | + | 0.189300i | ||||
\(863\) | 21.0317 | − | 21.0317i | 0.715927 | − | 0.715927i | −0.251842 | − | 0.967768i | \(-0.581036\pi\) |
0.967768 | + | 0.251842i | \(0.0810362\pi\) | |||||||
\(864\) | −2.56697 | + | 5.04090i | −0.0873300 | + | 0.171495i | ||||
\(865\) | 35.5059 | + | 35.5059i | 1.20724 | + | 1.20724i | ||||
\(866\) | −7.54184 | − | 46.4225i | −0.256282 | − | 1.57750i | ||||
\(867\) | 3.32283 | − | 10.9539i | 0.112849 | − | 0.372014i | ||||
\(868\) | 7.84237 | − | 10.1123i | 0.266187 | − | 0.343234i | ||||
\(869\) | 3.31531 | − | 33.6609i | 0.112464 | − | 1.14187i | ||||
\(870\) | 3.40454 | − | 25.3562i | 0.115425 | − | 0.859656i | ||||
\(871\) | −0.0942419 | + | 0.473786i | −0.00319327 | + | 0.0160536i | ||||
\(872\) | 6.62769 | − | 1.26527i | 0.224442 | − | 0.0428476i | ||||
\(873\) | 1.10724 | − | 0.220243i | 0.0374743 | − | 0.00745410i | ||||
\(874\) | 59.7995 | + | 52.7153i | 2.02275 | + | 1.78312i | ||||
\(875\) | 17.3991 | − | 32.5515i | 0.588198 | − | 1.10044i | ||||
\(876\) | −10.9431 | + | 17.3978i | −0.369732 | + | 0.587816i | ||||
\(877\) | 1.77289 | + | 18.0004i | 0.0598661 | + | 0.607831i | 0.977577 | + | 0.210581i | \(0.0675354\pi\) |
−0.917710 | + | 0.397250i | \(0.869965\pi\) | |||||||
\(878\) | −14.3423 | − | 0.506432i | −0.484030 | − | 0.0170913i | ||||
\(879\) | −7.98735 | + | 3.30847i | −0.269407 | + | 0.111592i | ||||
\(880\) | −1.69633 | − | 30.7179i | −0.0571834 | − | 1.03550i | ||||
\(881\) | −22.6109 | − | 9.36575i | −0.761782 | − | 0.315540i | −0.0322432 | − | 0.999480i | \(-0.510265\pi\) |
−0.729538 | + | 0.683940i | \(0.760265\pi\) | |||||||
\(882\) | 5.64285 | + | 2.57425i | 0.190005 | + | 0.0866793i | ||||
\(883\) | 2.31574 | + | 1.90048i | 0.0779310 | + | 0.0639563i | 0.672552 | − | 0.740050i | \(-0.265198\pi\) |
−0.594621 | + | 0.804006i | \(0.702698\pi\) | |||||||
\(884\) | −0.962263 | + | 1.01687i | −0.0323644 | + | 0.0342010i | ||||
\(885\) | −25.3165 | + | 7.67967i | −0.851004 | + | 0.258149i | ||||
\(886\) | 12.9372 | − | 37.7924i | 0.434635 | − | 1.26966i | ||||
\(887\) | 1.75648 | − | 2.62876i | 0.0589769 | − | 0.0882652i | −0.800809 | − | 0.598920i | \(-0.795597\pi\) |
0.859786 | + | 0.510654i | \(0.170597\pi\) | |||||||
\(888\) | 14.8303 | + | 28.2679i | 0.497673 | + | 0.948607i | ||||
\(889\) | −23.7428 | + | 15.8644i | −0.796308 | + | 0.532076i | ||||
\(890\) | 1.07432 | + | 0.623944i | 0.0360111 | + | 0.0209147i | ||||
\(891\) | −1.35168 | − | 1.64703i | −0.0452830 | − | 0.0551775i | ||||
\(892\) | −2.13891 | − | 6.40909i | −0.0716160 | − | 0.214592i | ||||
\(893\) | 2.40213 | − | 1.28397i | 0.0803843 | − | 0.0429663i | ||||
\(894\) | −0.995785 | − | 1.61057i | −0.0333040 | − | 0.0538656i | ||||
\(895\) | −31.2378 | −1.04416 | ||||||||
\(896\) | −9.33633 | + | 37.0162i | −0.311905 | + | 1.23663i | ||||
\(897\) | −2.32440 | −0.0776094 | ||||||||
\(898\) | 14.5631 | + | 23.5541i | 0.485976 | + | 0.786011i | ||||
\(899\) | −8.38105 | + | 4.47976i | −0.279524 | + | 0.149408i | ||||
\(900\) | 15.2346 | − | 5.08424i | 0.507820 | − | 0.169475i | ||||
\(901\) | 12.3400 | + | 15.0364i | 0.411106 | + | 0.500934i | ||||
\(902\) | −26.1683 | − | 15.1981i | −0.871309 | − | 0.506041i | ||||
\(903\) | −12.3499 | + | 8.25194i | −0.410979 | + | 0.274607i | ||||
\(904\) | −13.5535 | + | 43.4700i | −0.450781 | + | 1.44579i | ||||
\(905\) | 34.1939 | − | 51.1747i | 1.13664 | − | 1.70111i | ||||
\(906\) | 0.473802 | − | 1.38408i | 0.0157410 | − | 0.0459828i | ||||
\(907\) | −46.2673 | + | 14.0350i | −1.53628 | + | 0.466026i | −0.941260 | − | 0.337683i | \(-0.890357\pi\) |
−0.595022 | + | 0.803709i | \(0.702857\pi\) | |||||||
\(908\) | −6.51812 | − | 6.16810i | −0.216311 | − | 0.204695i | ||||
\(909\) | −2.86229 | − | 2.34902i | −0.0949361 | − | 0.0779120i | ||||
\(910\) | −4.65522 | − | 2.12369i | −0.154319 | − | 0.0703998i | ||||
\(911\) | 19.5386 | + | 8.09313i | 0.647341 | + | 0.268138i | 0.682101 | − | 0.731258i | \(-0.261067\pi\) |
−0.0347595 | + | 0.999396i | \(0.511067\pi\) | |||||||
\(912\) | −9.54219 | + | 27.1886i | −0.315973 | + | 0.900305i | ||||
\(913\) | 23.6081 | − | 9.77881i | 0.781315 | − | 0.323631i | ||||
\(914\) | 54.2513 | + | 1.91563i | 1.79447 | + | 0.0633634i | ||||
\(915\) | 0.975565 | + | 9.90508i | 0.0322512 | + | 0.327452i | ||||
\(916\) | 39.6337 | + | 24.9293i | 1.30953 | + | 0.823687i | ||||
\(917\) | 11.4987 | − | 21.5126i | 0.379720 | − | 0.710407i | ||||
\(918\) | −2.49995 | − | 2.20379i | −0.0825105 | − | 0.0727359i | ||||
\(919\) | 5.18399 | − | 1.03116i | 0.171004 | − | 0.0340148i | −0.108846 | − | 0.994059i | \(-0.534715\pi\) |
0.279850 | + | 0.960044i | \(0.409715\pi\) | |||||||
\(920\) | 44.8973 | − | 66.0845i | 1.48022 | − | 2.17874i | ||||
\(921\) | −4.94330 | + | 24.8517i | −0.162887 | + | 0.818890i | ||||
\(922\) | −4.96031 | + | 36.9432i | −0.163359 | + | 1.21666i | ||||
\(923\) | 0.388278 | − | 3.94225i | 0.0127803 | − | 0.129761i | ||||
\(924\) | −11.3624 | − | 8.81184i | −0.373795 | − | 0.289888i | ||||
\(925\) | 26.3087 | − | 86.7282i | 0.865025 | − | 2.85161i | ||||
\(926\) | −2.83846 | − | 17.4716i | −0.0932775 | − | 0.574153i | ||||
\(927\) | 3.56162 | + | 3.56162i | 0.116979 | + | 0.116979i | ||||
\(928\) | 17.5458 | − | 22.2676i | 0.575969 | − | 0.730969i | ||||
\(929\) | −10.1177 | + | 10.1177i | −0.331950 | + | 0.331950i | −0.853327 | − | 0.521377i | \(-0.825419\pi\) |
0.521377 | + | 0.853327i | \(0.325419\pi\) | |||||||
\(930\) | −7.85407 | − | 5.65876i | −0.257545 | − | 0.185558i | ||||
\(931\) | 30.2324 | + | 9.17091i | 0.990828 | + | 0.300564i | ||||
\(932\) | −8.97357 | + | 32.8140i | −0.293939 | + | 1.07486i | ||||
\(933\) | 2.76748 | + | 0.272573i | 0.0906032 | + | 0.00892364i | ||||
\(934\) | −7.56625 | + | 5.77494i | −0.247575 | + | 0.188962i | ||||
\(935\) | 17.7762 | + | 3.53590i | 0.581343 | + | 0.115636i | ||||
\(936\) | −0.315524 | − | 0.778674i | −0.0103132 | − | 0.0254517i | ||||
\(937\) | −0.492335 | − | 2.47514i | −0.0160839 | − | 0.0808592i | 0.971910 | − | 0.235354i | \(-0.0756250\pi\) |
−0.987994 | + | 0.154495i | \(0.950625\pi\) | |||||||
\(938\) | −7.74499 | + | 0.487641i | −0.252883 | + | 0.0159220i | ||||
\(939\) | 8.18300 | + | 4.37391i | 0.267042 | + | 0.142737i | ||||
\(940\) | −1.57859 | − | 2.22702i | −0.0514880 | − | 0.0726373i | ||||
\(941\) | −7.52411 | + | 0.741060i | −0.245279 | + | 0.0241579i | −0.219909 | − | 0.975520i | \(-0.570576\pi\) |
−0.0253694 | + | 0.999678i | \(0.508076\pi\) | |||||||
\(942\) | −0.684849 | − | 0.734984i | −0.0223136 | − | 0.0239471i | ||||
\(943\) | −30.0738 | − | 72.6046i | −0.979338 | − | 2.36433i | ||||
\(944\) | −28.4800 | − | 6.95013i | −0.926945 | − | 0.226208i | ||||
\(945\) | 4.66118 | − | 11.2531i | 0.151628 | − | 0.366063i | ||||
\(946\) | 12.4256 | − | 4.64025i | 0.403992 | − | 0.150867i | ||||
\(947\) | 17.3340 | − | 21.1215i | 0.563278 | − | 0.686356i | −0.411018 | − | 0.911627i | \(-0.634827\pi\) |
0.974296 | + | 0.225271i | \(0.0723268\pi\) | |||||||
\(948\) | 29.6566 | + | 11.3364i | 0.963202 | + | 0.368188i | ||||
\(949\) | −0.886126 | − | 2.92117i | −0.0287649 | − | 0.0948251i | ||||
\(950\) | 73.4643 | − | 35.9941i | 2.38350 | − | 1.16780i | ||||
\(951\) | −25.1672 | − | 16.8162i | −0.816103 | − | 0.545303i | ||||
\(952\) | −19.7524 | − | 10.7545i | −0.640178 | − | 0.348556i | ||||
\(953\) | 28.3976 | + | 42.5000i | 0.919889 | + | 1.37671i | 0.926322 | + | 0.376732i | \(0.122952\pi\) |
−0.00643353 | + | 0.999979i | \(0.502048\pi\) | |||||||
\(954\) | −11.2835 | + | 2.99233i | −0.365315 | + | 0.0968801i | ||||
\(955\) | −71.9843 | + | 59.0760i | −2.32936 | + | 1.91165i | ||||
\(956\) | −1.97131 | + | 27.8793i | −0.0637567 | + | 0.901680i | ||||
\(957\) | 5.03355 | + | 9.41710i | 0.162711 | + | 0.304412i | ||||
\(958\) | 5.56838 | − | 23.6069i | 0.179906 | − | 0.762704i | ||||
\(959\) | 31.0332i | 1.00212i | ||||||||
\(960\) | 28.2328 | + | 6.06999i | 0.911211 | + | 0.195908i | ||||
\(961\) | − | 27.4042i | − | 0.884007i | ||||||
\(962\) | −4.61450 | − | 1.08847i | −0.148777 | − | 0.0350935i | ||||
\(963\) | −6.05073 | − | 11.3201i | −0.194982 | − | 0.364786i | ||||
\(964\) | 31.4419 | − | 27.2891i | 1.01267 | − | 0.878922i | ||||
\(965\) | −33.0995 | + | 27.1641i | −1.06551 | + | 0.874442i | ||||
\(966\) | −9.57173 | − | 36.0931i | −0.307965 | − | 1.16128i | ||||
\(967\) | −22.5465 | − | 33.7432i | −0.725047 | − | 1.08511i | −0.992584 | − | 0.121562i | \(-0.961210\pi\) |
0.267537 | − | 0.963548i | \(-0.413790\pi\) | |||||||
\(968\) | −11.4826 | − | 14.2137i | −0.369065 | − | 0.456846i | ||||
\(969\) | −14.1146 | − | 9.43108i | −0.453427 | − | 0.302970i | ||||
\(970\) | −2.53567 | − | 5.17533i | −0.0814156 | − | 0.166170i | ||||
\(971\) | −2.16414 | − | 7.13422i | −0.0694506 | − | 0.228948i | 0.915343 | − | 0.402674i | \(-0.131919\pi\) |
−0.984794 | + | 0.173726i | \(0.944419\pi\) | |||||||
\(972\) | 1.82595 | − | 0.816037i | 0.0585673 | − | 0.0261744i | ||||
\(973\) | −5.80700 | + | 7.07585i | −0.186164 | + | 0.226841i | ||||
\(974\) | −3.10109 | − | 8.30408i | −0.0993652 | − | 0.266080i | ||||
\(975\) | −0.912838 | + | 2.20379i | −0.0292342 | + | 0.0705776i | ||||
\(976\) | −4.65482 | + | 9.99861i | −0.148997 | + | 0.320048i | ||||
\(977\) | 7.12748 | + | 17.2073i | 0.228028 | + | 0.550509i | 0.995937 | − | 0.0900501i | \(-0.0287027\pi\) |
−0.767909 | + | 0.640559i | \(0.778703\pi\) | |||||||
\(978\) | 12.8613 | − | 11.9840i | 0.411257 | − | 0.383205i | ||||
\(979\) | −0.516030 | + | 0.0508245i | −0.0164924 | + | 0.00162436i | ||||
\(980\) | 5.31822 | − | 31.2126i | 0.169884 | − | 0.997050i | ||||
\(981\) | −2.10388 | − | 1.12455i | −0.0671716 | − | 0.0359040i | ||||
\(982\) | 2.22631 | + | 35.3596i | 0.0710446 | + | 1.12837i | ||||
\(983\) | −9.88734 | − | 49.7070i | −0.315357 | − | 1.58541i | −0.735225 | − | 0.677823i | \(-0.762924\pi\) |
0.419868 | − | 0.907585i | \(-0.362076\pi\) | |||||||
\(984\) | 20.2402 | − | 19.9304i | 0.645234 | − | 0.635357i | ||||
\(985\) | −54.0221 | − | 10.7457i | −1.72129 | − | 0.342385i | ||||
\(986\) | 10.1332 | + | 13.2764i | 0.322707 | + | 0.422806i | ||||
\(987\) | −1.26970 | − | 0.125054i | −0.0404149 | − | 0.00398052i | ||||
\(988\) | −2.12072 | − | 3.71720i | −0.0674691 | − | 0.118260i | ||||
\(989\) | 32.9617 | + | 9.99884i | 1.04812 | + | 0.317945i | ||||
\(990\) | −6.35829 | + | 8.82498i | −0.202080 | + | 0.280476i | ||||
\(991\) | −6.22222 | + | 6.22222i | −0.197655 | + | 0.197655i | −0.798994 | − | 0.601339i | \(-0.794634\pi\) |
0.601339 | + | 0.798994i | \(0.294634\pi\) | |||||||
\(992\) | −4.30109 | − | 9.82677i | −0.136560 | − | 0.312000i | ||||
\(993\) | 1.12027 | + | 1.12027i | 0.0355508 | + | 0.0355508i | ||||
\(994\) | 62.8138 | − | 10.2048i | 1.99233 | − | 0.323676i | ||||
\(995\) | −25.9725 | + | 85.6199i | −0.823384 | + | 2.71433i | ||||
\(996\) | 3.00852 | + | 23.7968i | 0.0953285 | + | 0.754029i | ||||
\(997\) | 0.184478 | − | 1.87304i | 0.00584247 | − | 0.0593196i | −0.991821 | − | 0.127633i | \(-0.959262\pi\) |
0.997664 | + | 0.0683138i | \(0.0217619\pi\) | |||||||
\(998\) | 34.9357 | + | 4.69076i | 1.10587 | + | 0.148484i | ||||
\(999\) | 2.20181 | − | 11.0693i | 0.0696622 | − | 0.350216i |
(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 | 384.2.v.a.229.6 | yes | 512 | |
128.109 | even | 32 | inner | 384.2.v.a.109.6 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.6 | ✓ | 512 | 128.109 | even | 32 | inner | |
384.2.v.a.229.6 | yes | 512 | 1.1 | even | 1 | trivial |