Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 28.6 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.d.703.6 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{22}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.890910 | − | 0.585961i | 0.629968 | − | 0.414337i | −0.193977 | − | 0.981006i | \(-0.562139\pi\) |
0.823945 | + | 0.566669i | \(0.191768\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.341789 | + | 0.792356i | −0.170894 | + | 0.396178i | ||||
\(5\) | 0.585850 | − | 0.620965i | 0.262000 | − | 0.277704i | −0.582998 | − | 0.812474i | \(-0.698120\pi\) |
0.844998 | + | 0.534770i | \(0.179602\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.284505 | + | 0.0332539i | 0.107533 | + | 0.0125688i | 0.169689 | − | 0.985498i | \(-0.445724\pi\) |
−0.0621562 | + | 0.998066i | \(0.519798\pi\) | |||||||
\(8\) | 0.530120 | + | 3.00646i | 0.187426 | + | 1.06295i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.158079 | − | 0.896509i | 0.0499889 | − | 0.283501i | ||||
\(11\) | −0.519011 | + | 1.73362i | −0.156488 | + | 0.522706i | −0.999894 | − | 0.0145710i | \(-0.995362\pi\) |
0.843406 | + | 0.537277i | \(0.180547\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.325075 | + | 5.58132i | −0.0901596 | + | 1.54798i | 0.585443 | + | 0.810714i | \(0.300921\pi\) |
−0.675602 | + | 0.737266i | \(0.736116\pi\) | |||||||
\(14\) | 0.272954 | − | 0.137083i | 0.0729501 | − | 0.0366369i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.04960 | + | 1.11251i | 0.262400 | + | 0.278128i | ||||
\(17\) | 4.42908 | − | 1.61205i | 1.07421 | − | 0.390980i | 0.256460 | − | 0.966555i | \(-0.417444\pi\) |
0.817749 | + | 0.575574i | \(0.195222\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.75427 | − | 0.638503i | −0.402458 | − | 0.146483i | 0.132857 | − | 0.991135i | \(-0.457585\pi\) |
−0.535315 | + | 0.844652i | \(0.679807\pi\) | |||||||
\(20\) | 0.291788 | + | 0.676441i | 0.0652458 | + | 0.151257i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.553440 | + | 1.84862i | 0.117994 | + | 0.394127i | ||||
\(23\) | 1.34612 | − | 0.157339i | 0.280686 | − | 0.0328074i | 0.0254146 | − | 0.999677i | \(-0.491909\pi\) |
0.255271 | + | 0.966870i | \(0.417835\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.248347 | + | 4.26396i | 0.0496694 | + | 0.852791i | ||||
\(26\) | 2.98082 | + | 5.16294i | 0.584587 | + | 1.01254i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.123590 | + | 0.214064i | −0.0233563 | + | 0.0404542i | ||||
\(29\) | 5.35083 | + | 2.68729i | 0.993624 | + | 0.499017i | 0.869862 | − | 0.493295i | \(-0.164208\pi\) |
0.123762 | + | 0.992312i | \(0.460504\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.54206 | − | 3.41458i | −0.456568 | − | 0.613277i | 0.512914 | − | 0.858440i | \(-0.328566\pi\) |
−0.969482 | + | 0.245163i | \(0.921159\pi\) | |||||||
\(32\) | −4.35412 | − | 1.03194i | −0.769706 | − | 0.182424i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.00131 | − | 4.03146i | 0.514721 | − | 0.691390i | ||||
\(35\) | 0.187327 | − | 0.157186i | 0.0316641 | − | 0.0265693i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.46107 | − | 4.58238i | −0.897794 | − | 0.753339i | 0.0719637 | − | 0.997407i | \(-0.477073\pi\) |
−0.969758 | + | 0.244068i | \(0.921518\pi\) | |||||||
\(38\) | −1.93704 | + | 0.459086i | −0.314229 | + | 0.0744736i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.17748 | + | 1.43215i | 0.344290 | + | 0.226443i | ||||
\(41\) | 9.58849 | + | 6.30645i | 1.49747 | + | 0.984902i | 0.992563 | + | 0.121728i | \(0.0388437\pi\) |
0.504907 | + | 0.863174i | \(0.331527\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12.3767 | − | 2.93332i | 1.88742 | − | 0.447328i | 0.887514 | − | 0.460780i | \(-0.152430\pi\) |
0.999910 | + | 0.0134525i | \(0.00428219\pi\) | |||||||
\(44\) | −1.19625 | − | 1.00377i | −0.180342 | − | 0.151325i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.10708 | − | 0.928949i | 0.163230 | − | 0.136966i | ||||
\(47\) | −1.22397 | + | 1.64408i | −0.178535 | + | 0.239814i | −0.882378 | − | 0.470542i | \(-0.844059\pi\) |
0.703843 | + | 0.710356i | \(0.251466\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.73148 | − | 1.59539i | −0.961640 | − | 0.227913i | ||||
\(50\) | 2.71977 | + | 3.65328i | 0.384633 | + | 0.516652i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.31129 | − | 2.16521i | −0.597868 | − | 0.300261i | ||||
\(53\) | −1.54131 | + | 2.66962i | −0.211715 | + | 0.366701i | −0.952251 | − | 0.305315i | \(-0.901238\pi\) |
0.740537 | + | 0.672016i | \(0.234571\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.772454 | + | 1.33793i | 0.104158 | + | 0.180406i | ||||
\(56\) | 0.0508455 | + | 0.872983i | 0.00679452 | + | 0.116657i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.34175 | − | 0.741244i | 0.832713 | − | 0.0973301i | ||||
\(59\) | 0.361763 | + | 1.20837i | 0.0470975 | + | 0.157317i | 0.978304 | − | 0.207177i | \(-0.0664275\pi\) |
−0.931206 | + | 0.364493i | \(0.881242\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.09744 | + | 2.54416i | 0.140513 | + | 0.325747i | 0.973912 | − | 0.226926i | \(-0.0728674\pi\) |
−0.833399 | + | 0.552672i | \(0.813608\pi\) | |||||||
\(62\) | −4.26556 | − | 1.55254i | −0.541726 | − | 0.197172i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.35831 | + | 2.67821i | −0.919789 | + | 0.334776i | ||||
\(65\) | 3.27536 | + | 3.47168i | 0.406258 | + | 0.430609i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.61273 | + | 2.81882i | −0.685705 | + | 0.344374i | −0.757307 | − | 0.653060i | \(-0.773485\pi\) |
0.0716021 | + | 0.997433i | \(0.477189\pi\) | |||||||
\(68\) | −0.236491 | + | 4.06039i | −0.0286787 | + | 0.492395i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0747867 | − | 0.249805i | 0.00893872 | − | 0.0298574i | ||||
\(71\) | 2.24048 | − | 12.7064i | 0.265896 | − | 1.50797i | −0.500576 | − | 0.865693i | \(-0.666878\pi\) |
0.766472 | − | 0.642278i | \(-0.222011\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.11508 | − | 6.32396i | −0.130511 | − | 0.740164i | −0.977881 | − | 0.209161i | \(-0.932927\pi\) |
0.847370 | − | 0.531002i | \(-0.178184\pi\) | |||||||
\(74\) | −7.55042 | − | 0.882517i | −0.877718 | − | 0.102591i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.10551 | − | 1.17178i | 0.126811 | − | 0.134412i | ||||
\(77\) | −0.205311 | + | 0.475965i | −0.0233974 | + | 0.0542412i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.95312 | + | 3.91543i | −0.669778 | + | 0.440520i | −0.838323 | − | 0.545174i | \(-0.816464\pi\) |
0.168545 | + | 0.985694i | \(0.446093\pi\) | |||||||
\(80\) | 1.30574 | 0.145986 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.2378 | 1.35144 | ||||||||
\(83\) | 11.3260 | − | 7.44925i | 1.24319 | − | 0.817661i | 0.254421 | − | 0.967094i | \(-0.418115\pi\) |
0.988772 | + | 0.149433i | \(0.0477447\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.59375 | − | 3.69472i | 0.172866 | − | 0.400749i | ||||
\(86\) | 9.30768 | − | 9.86557i | 1.00367 | − | 1.06383i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.48720 | − | 0.641362i | −0.584937 | − | 0.0683694i | ||||
\(89\) | −0.0750415 | − | 0.425581i | −0.00795438 | − | 0.0451115i | 0.980572 | − | 0.196158i | \(-0.0628467\pi\) |
−0.988527 | + | 0.151047i | \(0.951736\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.278086 | + | 1.57711i | −0.0291514 | + | 0.165326i | ||||
\(92\) | −0.335421 | + | 1.12038i | −0.0349700 | + | 0.116808i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.127083 | + | 2.18193i | −0.0131076 | + | 0.225049i | ||||
\(95\) | −1.42423 | + | 0.715275i | −0.146123 | + | 0.0733857i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.92494 | − | 7.34001i | −0.703121 | − | 0.745265i | 0.273114 | − | 0.961982i | \(-0.411947\pi\) |
−0.976234 | + | 0.216717i | \(0.930465\pi\) | |||||||
\(98\) | −6.93197 | + | 2.52303i | −0.700235 | + | 0.254865i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.46345 | − | 1.26059i | −0.346345 | − | 0.126059i | ||||
\(101\) | −3.67502 | − | 8.51965i | −0.365678 | − | 0.847737i | −0.997367 | − | 0.0725151i | \(-0.976897\pi\) |
0.631689 | − | 0.775222i | \(-0.282362\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.20365 | − | 14.0412i | −0.414198 | − | 1.38352i | −0.869831 | − | 0.493349i | \(-0.835772\pi\) |
0.455634 | − | 0.890167i | \(-0.349413\pi\) | |||||||
\(104\) | −16.9524 | + | 1.98145i | −1.66232 | + | 0.194297i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.191128 | + | 3.28154i | 0.0185640 | + | 0.318731i | ||||
\(107\) | 0.0376376 | + | 0.0651902i | 0.00363856 | + | 0.00630218i | 0.867839 | − | 0.496846i | \(-0.165508\pi\) |
−0.864200 | + | 0.503148i | \(0.832175\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.64599 | + | 4.58298i | −0.253440 | + | 0.438970i | −0.964470 | − | 0.264191i | \(-0.914895\pi\) |
0.711031 | + | 0.703161i | \(0.248229\pi\) | |||||||
\(110\) | 1.47216 | + | 0.739347i | 0.140365 | + | 0.0704939i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.261622 | + | 0.351419i | 0.0247210 | + | 0.0332060i | ||||
\(113\) | −18.0181 | − | 4.27037i | −1.69500 | − | 0.401722i | −0.734193 | − | 0.678941i | \(-0.762439\pi\) |
−0.960807 | + | 0.277219i | \(0.910587\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.690923 | − | 0.928071i | 0.0644289 | − | 0.0865430i | ||||
\(116\) | −3.95814 | + | 3.32128i | −0.367504 | + | 0.308373i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.03036 | + | 0.864571i | 0.0948520 | + | 0.0795903i | ||||
\(119\) | 1.31370 | − | 0.311354i | 0.120427 | − | 0.0285417i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.45430 | + | 4.24506i | 0.586755 | + | 0.385915i | ||||
\(122\) | 2.46850 | + | 1.62356i | 0.223488 | + | 0.146990i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.57441 | − | 0.847151i | 0.320992 | − | 0.0760764i | ||||
\(125\) | 6.06315 | + | 5.08759i | 0.542305 | + | 0.455048i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.52895 | − | 7.15664i | 0.756822 | − | 0.635049i | −0.180476 | − | 0.983579i | \(-0.557764\pi\) |
0.937297 | + | 0.348531i | \(0.113319\pi\) | |||||||
\(128\) | 0.357982 | − | 0.480853i | 0.0316414 | − | 0.0425018i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.95232 | + | 1.17372i | 0.434347 | + | 0.102942i | ||||
\(131\) | 0.164790 | + | 0.221351i | 0.0143977 | + | 0.0193395i | 0.809264 | − | 0.587445i | \(-0.199866\pi\) |
−0.794866 | + | 0.606785i | \(0.792459\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.477868 | − | 0.239994i | −0.0414364 | − | 0.0208101i | ||||
\(134\) | −3.34872 | + | 5.80016i | −0.289285 | + | 0.501057i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.19452 | + | 12.4613i | 0.616925 | + | 1.06855i | ||||
\(137\) | −0.612702 | − | 10.5197i | −0.0523466 | − | 0.898757i | −0.917621 | − | 0.397458i | \(-0.869893\pi\) |
0.865274 | − | 0.501299i | \(-0.167144\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.538250 | + | 0.0629124i | −0.0456537 | + | 0.00533616i | −0.138889 | − | 0.990308i | \(-0.544353\pi\) |
0.0932354 | + | 0.995644i | \(0.470279\pi\) | |||||||
\(140\) | 0.0605210 | + | 0.202154i | 0.00511496 | + | 0.0170851i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.44938 | − | 12.6331i | −0.457302 | − | 1.06014i | ||||
\(143\) | −9.50717 | − | 3.46033i | −0.795029 | − | 0.289367i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.80349 | − | 1.74833i | 0.398908 | − | 0.145191i | ||||
\(146\) | −4.69903 | − | 4.98068i | −0.388895 | − | 0.412204i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.49741 | − | 2.76090i | 0.451884 | − | 0.226945i | ||||
\(149\) | 1.14216 | − | 19.6101i | 0.0935693 | − | 1.60652i | −0.545997 | − | 0.837787i | \(-0.683849\pi\) |
0.639566 | − | 0.768736i | \(-0.279114\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.25389 | + | 14.2090i | −0.346177 | + | 1.15631i | 0.590770 | + | 0.806840i | \(0.298824\pi\) |
−0.936947 | + | 0.349471i | \(0.886361\pi\) | |||||||
\(152\) | 0.989660 | − | 5.61264i | 0.0802720 | − | 0.455245i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.0959829 | + | 0.544346i | 0.00773452 | + | 0.0438647i | ||||
\(155\) | −3.60960 | − | 0.421902i | −0.289930 | − | 0.0338880i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.00801 | + | 4.24824i | −0.319874 | + | 0.339047i | −0.867280 | − | 0.497820i | \(-0.834134\pi\) |
0.547406 | + | 0.836867i | \(0.315615\pi\) | |||||||
\(158\) | −3.00941 | + | 6.97659i | −0.239415 | + | 0.555027i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.19166 | + | 2.09919i | −0.252323 | + | 0.165955i | ||||
\(161\) | 0.388211 | 0.0305953 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.88988 | −0.539657 | −0.269828 | − | 0.962908i | \(-0.586967\pi\) | ||||
−0.269828 | + | 0.962908i | \(0.586967\pi\) | |||||||
\(164\) | −8.27419 | + | 5.44202i | −0.646106 | + | 0.424951i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.72551 | − | 13.2732i | 0.444385 | − | 1.03020i | ||||
\(167\) | 12.1766 | − | 12.9064i | 0.942252 | − | 0.998728i | −0.0577483 | − | 0.998331i | \(-0.518392\pi\) |
1.00000 | 0.000397221i | \(-0.000126439\pi\) | ||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −18.1334 | − | 2.11949i | −1.39488 | − | 0.163038i | ||||
\(170\) | −0.745077 | − | 4.22554i | −0.0571448 | − | 0.324084i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.90597 | + | 10.8093i | −0.145329 | + | 0.824202i | ||||
\(173\) | −4.01157 | + | 13.3996i | −0.304994 | + | 1.01875i | 0.658848 | + | 0.752276i | \(0.271044\pi\) |
−0.963842 | + | 0.266474i | \(0.914141\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0711371 | + | 1.22138i | −0.00537746 | + | 0.0923274i | ||||
\(176\) | −2.47343 | + | 1.24220i | −0.186442 | + | 0.0936345i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.316229 | − | 0.335183i | −0.0237024 | − | 0.0251230i | ||||
\(179\) | 9.85261 | − | 3.58606i | 0.736418 | − | 0.268034i | 0.0535392 | − | 0.998566i | \(-0.482950\pi\) |
0.682879 | + | 0.730531i | \(0.260728\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.6610 | + | 4.24426i | 0.866755 | + | 0.315473i | 0.736852 | − | 0.676054i | \(-0.236311\pi\) |
0.129903 | + | 0.991527i | \(0.458533\pi\) | |||||||
\(182\) | 0.676372 | + | 1.56801i | 0.0501361 | + | 0.116228i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.18664 | + | 3.96365i | 0.0874803 | + | 0.292204i | ||||
\(185\) | −6.04487 | + | 0.706543i | −0.444427 | + | 0.0519461i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.495943 | + | 8.51501i | 0.0362669 | + | 0.622679i | ||||
\(188\) | −0.884358 | − | 1.53175i | −0.0644984 | − | 0.111715i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.849737 | + | 1.47179i | −0.0616464 | + | 0.106775i | ||||
\(191\) | −12.6284 | − | 6.34222i | −0.913759 | − | 0.458907i | −0.0711702 | − | 0.997464i | \(-0.522673\pi\) |
−0.842589 | + | 0.538557i | \(0.818970\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.1675 | + | 17.6871i | 0.947820 | + | 1.27314i | 0.961945 | + | 0.273243i | \(0.0880965\pi\) |
−0.0141245 | + | 0.999900i | \(0.504496\pi\) | |||||||
\(194\) | −10.4705 | − | 2.48154i | −0.751735 | − | 0.178164i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.56486 | − | 4.78844i | 0.254633 | − | 0.342031i | ||||
\(197\) | −1.28639 | + | 1.07941i | −0.0916516 | + | 0.0769049i | −0.687462 | − | 0.726220i | \(-0.741275\pi\) |
0.595811 | + | 0.803125i | \(0.296831\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.18059 | + | 6.86433i | 0.579906 | + | 0.486599i | 0.884916 | − | 0.465750i | \(-0.154215\pi\) |
−0.305010 | + | 0.952349i | \(0.598660\pi\) | |||||||
\(200\) | −12.6878 | + | 3.00706i | −0.897161 | + | 0.212631i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.26629 | − | 5.43682i | −0.581614 | − | 0.382534i | ||||
\(203\) | 1.43298 | + | 0.942484i | 0.100575 | + | 0.0661494i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.53350 | − | 2.25948i | 0.665849 | − | 0.157809i | ||||
\(206\) | −11.9726 | − | 10.0462i | −0.834173 | − | 0.699954i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.55049 | + | 5.49652i | −0.454195 | + | 0.381115i | ||||
\(209\) | 2.01741 | − | 2.70985i | 0.139547 | − | 0.187444i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.1652 | − | 2.40919i | −0.699798 | − | 0.165855i | −0.134709 | − | 0.990885i | \(-0.543010\pi\) |
−0.565089 | + | 0.825030i | \(0.691158\pi\) | |||||||
\(212\) | −1.58849 | − | 2.13371i | −0.109098 | − | 0.146544i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.0717306 | + | 0.0360245i | 0.00490341 | + | 0.00246258i | ||||
\(215\) | 5.42938 | − | 9.40396i | 0.370281 | − | 0.641345i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.609682 | − | 1.05600i | −0.0413879 | − | 0.0716860i | ||||
\(218\) | 0.328112 | + | 5.63347i | 0.0222226 | + | 0.381547i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.32413 | + | 0.154769i | −0.0892730 | + | 0.0104345i | ||||
\(221\) | 7.55761 | + | 25.2442i | 0.508380 | + | 1.69811i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.39966 | + | 12.5178i | 0.361588 | + | 0.838256i | 0.997772 | + | 0.0667182i | \(0.0212528\pi\) |
−0.636184 | + | 0.771538i | \(0.719488\pi\) | |||||||
\(224\) | −1.20445 | − | 0.438385i | −0.0804759 | − | 0.0292908i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.5548 | + | 6.75338i | −1.23424 | + | 0.449228i | ||||
\(227\) | 8.98971 | + | 9.52854i | 0.596668 | + | 0.632431i | 0.953376 | − | 0.301785i | \(-0.0975824\pi\) |
−0.356708 | + | 0.934216i | \(0.616101\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.54142 | − | 0.774128i | 0.101860 | − | 0.0511559i | −0.397140 | − | 0.917758i | \(-0.629997\pi\) |
0.499000 | + | 0.866602i | \(0.333701\pi\) | |||||||
\(230\) | 0.0717373 | − | 1.23168i | 0.00473021 | − | 0.0812146i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.24264 | + | 17.5116i | −0.344196 | + | 1.14970i | ||||
\(233\) | −4.21198 | + | 23.8873i | −0.275936 | + | 1.56491i | 0.460036 | + | 0.887900i | \(0.347836\pi\) |
−0.735972 | + | 0.677011i | \(0.763275\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.303852 | + | 1.72323i | 0.0198211 | + | 0.112411i | ||||
\(236\) | −1.08111 | − | 0.126363i | −0.0703741 | − | 0.00822555i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.987951 | − | 1.04717i | 0.0640394 | − | 0.0678778i | ||||
\(239\) | 8.77100 | − | 20.3335i | 0.567349 | − | 1.31526i | −0.357139 | − | 0.934051i | \(-0.616248\pi\) |
0.924488 | − | 0.381211i | \(-0.124493\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.1000 | − | 9.93144i | 0.972677 | − | 0.639740i | 0.0395241 | − | 0.999219i | \(-0.487416\pi\) |
0.933153 | + | 0.359479i | \(0.117045\pi\) | |||||||
\(242\) | 8.23764 | 0.529536 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.39098 | −0.153067 | ||||||||
\(245\) | −4.93432 | + | 3.24535i | −0.315242 | + | 0.207338i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.13396 | − | 9.58361i | 0.263038 | − | 0.609790i | ||||
\(248\) | 8.91821 | − | 9.45275i | 0.566307 | − | 0.600250i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.38285 | + | 0.979815i | 0.530178 | + | 0.0619689i | ||||
\(251\) | −1.74420 | − | 9.89185i | −0.110093 | − | 0.624368i | −0.989063 | − | 0.147492i | \(-0.952880\pi\) |
0.878970 | − | 0.476876i | \(-0.158231\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.425886 | + | 2.41532i | −0.0267752 | + | 0.151850i | ||||
\(254\) | 3.40502 | − | 11.3735i | 0.213650 | − | 0.713640i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.947781 | − | 16.2728i | 0.0592363 | − | 1.01705i | ||||
\(257\) | −8.19846 | + | 4.11742i | −0.511406 | + | 0.256838i | −0.685737 | − | 0.727849i | \(-0.740520\pi\) |
0.174331 | + | 0.984687i | \(0.444224\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.40132 | − | 1.48531i | −0.0870739 | − | 0.0922929i | ||||
\(260\) | −3.87029 | + | 1.40867i | −0.240025 | + | 0.0873620i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.276516 | + | 0.100643i | 0.0170832 | + | 0.00621777i | ||||
\(263\) | −9.41306 | − | 21.8219i | −0.580434 | − | 1.34560i | −0.915087 | − | 0.403257i | \(-0.867878\pi\) |
0.334653 | − | 0.942342i | \(-0.391381\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.754766 | + | 2.52109i | 0.0463649 | + | 0.154870i | ||||
\(266\) | −0.566364 | + | 0.0661985i | −0.0347260 | + | 0.00405889i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.315139 | − | 5.41072i | −0.0192502 | − | 0.330513i | ||||
\(269\) | 3.35091 | + | 5.80395i | 0.204309 | + | 0.353873i | 0.949912 | − | 0.312517i | \(-0.101172\pi\) |
−0.745604 | + | 0.666390i | \(0.767839\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.74494 | − | 8.21848i | 0.288235 | − | 0.499237i | −0.685154 | − | 0.728398i | \(-0.740265\pi\) |
0.973388 | + | 0.229161i | \(0.0735984\pi\) | |||||||
\(272\) | 6.44220 | + | 3.23539i | 0.390616 | + | 0.196175i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.70998 | − | 9.01307i | −0.405365 | − | 0.544499i | ||||
\(275\) | −7.52097 | − | 1.78250i | −0.453532 | − | 0.107489i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.827868 | + | 1.11202i | −0.0497418 | + | 0.0668148i | −0.826298 | − | 0.563233i | \(-0.809557\pi\) |
0.776556 | + | 0.630048i | \(0.216965\pi\) | |||||||
\(278\) | −0.442668 | + | 0.371442i | −0.0265494 | + | 0.0222776i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.571880 | + | 0.479864i | 0.0341764 | + | 0.0286774i | ||||
\(281\) | 15.5815 | − | 3.69287i | 0.929512 | − | 0.220298i | 0.262146 | − | 0.965028i | \(-0.415570\pi\) |
0.667366 | + | 0.744730i | \(0.267422\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.262449 | + | 0.172616i | 0.0156010 | + | 0.0102609i | 0.557286 | − | 0.830321i | \(-0.311843\pi\) |
−0.541685 | + | 0.840582i | \(0.682213\pi\) | |||||||
\(284\) | 9.30221 | + | 6.11816i | 0.551985 | + | 0.363046i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.4976 | + | 2.48799i | −0.620739 | + | 0.147118i | ||||
\(287\) | 2.51826 | + | 2.11307i | 0.148648 | + | 0.124731i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.99528 | − | 3.35244i | 0.235016 | − | 0.197202i | ||||
\(290\) | 3.25503 | − | 4.37226i | 0.191142 | − | 0.256748i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.39195 | + | 1.27792i | 0.315540 | + | 0.0747844i | ||||
\(293\) | 11.1446 | + | 14.9698i | 0.651076 | + | 0.874547i | 0.997991 | − | 0.0633491i | \(-0.0201782\pi\) |
−0.346915 | + | 0.937897i | \(0.612771\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.962295 | + | 0.483283i | 0.0560270 | + | 0.0281378i | ||||
\(296\) | 10.8817 | − | 18.8477i | 0.632488 | − | 1.09550i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.4732 | − | 18.1401i | −0.606696 | − | 1.05083i | ||||
\(299\) | 0.440569 | + | 7.56428i | 0.0254788 | + | 0.437454i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.61877 | − | 0.422974i | 0.208583 | − | 0.0243798i | ||||
\(302\) | 4.53607 | + | 15.1515i | 0.261022 | + | 0.871873i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.13095 | − | 2.62183i | −0.0648642 | − | 0.150372i | ||||
\(305\) | 2.22277 | + | 0.809023i | 0.127276 | + | 0.0463245i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 25.4414 | − | 9.25992i | 1.45202 | − | 0.528491i | 0.508864 | − | 0.860847i | \(-0.330066\pi\) |
0.943154 | + | 0.332356i | \(0.107843\pi\) | |||||||
\(308\) | −0.306960 | − | 0.325359i | −0.0174907 | − | 0.0185391i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.46305 | + | 1.73921i | −0.196688 | + | 0.0987804i | ||||
\(311\) | 0.719941 | − | 12.3609i | 0.0408241 | − | 0.700923i | −0.914359 | − | 0.404906i | \(-0.867304\pi\) |
0.955183 | − | 0.296017i | \(-0.0956586\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.15560 | − | 20.5611i | 0.347935 | − | 1.16218i | −0.587660 | − | 0.809108i | \(-0.699951\pi\) |
0.935595 | − | 0.353076i | \(-0.114864\pi\) | |||||||
\(314\) | −1.08147 | + | 6.13334i | −0.0610311 | + | 0.346124i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.06770 | − | 6.05524i | −0.0600629 | − | 0.340634i | ||||
\(317\) | 23.4460 | + | 2.74044i | 1.31686 | + | 0.153919i | 0.745348 | − | 0.666676i | \(-0.232283\pi\) |
0.571511 | + | 0.820595i | \(0.306358\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.43587 | + | 7.88156i | −0.416329 | + | 0.441283i | ||||
\(320\) | −2.64780 | + | 6.13828i | −0.148016 | + | 0.343140i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.345861 | − | 0.227476i | 0.0192741 | − | 0.0126768i | ||||
\(323\) | −8.79912 | −0.489596 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −23.8792 | −1.32458 | ||||||||
\(326\) | −6.13826 | + | 4.03720i | −0.339967 | + | 0.223600i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −13.8770 | + | 32.1706i | −0.766232 | + | 1.77633i | ||||
\(329\) | −0.402900 | + | 0.427049i | −0.0222126 | + | 0.0235439i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.842076 | + | 0.0984246i | 0.0462847 | + | 0.00540990i | 0.139204 | − | 0.990264i | \(-0.455546\pi\) |
−0.0929190 | + | 0.995674i | \(0.529620\pi\) | |||||||
\(332\) | 2.03134 | + | 11.5203i | 0.111484 | + | 0.632259i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.28558 | − | 18.6334i | 0.179779 | − | 1.01958i | ||||
\(335\) | −1.53783 | + | 5.13672i | −0.0840207 | + | 0.280649i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.118835 | + | 2.04032i | −0.00647336 | + | 0.111143i | −0.999997 | − | 0.00248306i | \(-0.999210\pi\) |
0.993524 | + | 0.113626i | \(0.0362467\pi\) | |||||||
\(338\) | −17.3971 | + | 8.73718i | −0.946280 | + | 0.475240i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.38281 | + | 2.52563i | 0.129226 | + | 0.136972i | ||||
\(341\) | 7.23894 | − | 2.63476i | 0.392011 | − | 0.142680i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.74626 | − | 1.36353i | −0.202279 | − | 0.0736236i | ||||
\(344\) | 15.3801 | + | 35.6550i | 0.829237 | + | 1.92239i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.27767 | + | 14.2884i | 0.229969 | + | 0.768151i | ||||
\(347\) | 6.45936 | − | 0.754991i | 0.346757 | − | 0.0405300i | 0.0590678 | − | 0.998254i | \(-0.481187\pi\) |
0.287689 | + | 0.957724i | \(0.407113\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.384965 | − | 6.60959i | −0.0206067 | − | 0.353803i | −0.992813 | − | 0.119677i | \(-0.961814\pi\) |
0.972206 | − | 0.234126i | \(-0.0752229\pi\) | |||||||
\(350\) | 0.652302 | + | 1.12982i | 0.0348670 | + | 0.0603914i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.04883 | − | 7.01279i | 0.215804 | − | 0.373783i | ||||
\(353\) | −0.270111 | − | 0.135655i | −0.0143765 | − | 0.00722017i | 0.441596 | − | 0.897214i | \(-0.354412\pi\) |
−0.455973 | + | 0.889994i | \(0.650709\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.57763 | − | 8.83530i | −0.349105 | − | 0.468929i | ||||
\(356\) | 0.362860 | + | 0.0859995i | 0.0192316 | + | 0.00455796i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.67650 | − | 8.96809i | 0.352864 | − | 0.473978i | ||||
\(359\) | 3.14494 | − | 2.63892i | 0.165984 | − | 0.139277i | −0.556012 | − | 0.831174i | \(-0.687669\pi\) |
0.721996 | + | 0.691897i | \(0.243225\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.8851 | − | 9.97274i | −0.625529 | − | 0.524881i | ||||
\(362\) | 12.8759 | − | 3.05164i | 0.676740 | − | 0.160390i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.15458 | − | 0.759381i | −0.0605166 | − | 0.0398024i | ||||
\(365\) | −4.58023 | − | 3.01246i | −0.239740 | − | 0.157680i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.75239 | + | 2.07435i | −0.456871 | + | 0.108280i | −0.452606 | − | 0.891711i | \(-0.649506\pi\) |
−0.00426466 | + | 0.999991i | \(0.501357\pi\) | |||||||
\(368\) | 1.58793 | + | 1.33243i | 0.0827767 | + | 0.0694579i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.97142 | + | 4.17152i | −0.258452 | + | 0.216867i | ||||
\(371\) | −0.527285 | + | 0.708267i | −0.0273753 | + | 0.0367714i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.11858 | + | 1.21313i | 0.265030 | + | 0.0628133i | 0.360982 | − | 0.932573i | \(-0.382441\pi\) |
−0.0959522 | + | 0.995386i | \(0.530590\pi\) | |||||||
\(374\) | 5.43130 | + | 7.29550i | 0.280846 | + | 0.377242i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.59173 | − | 2.80827i | −0.288371 | − | 0.144826i | ||||
\(377\) | −16.7380 | + | 28.9911i | −0.862053 | + | 1.49312i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.76722 | − | 6.52502i | −0.193509 | − | 0.335168i | 0.752902 | − | 0.658133i | \(-0.228654\pi\) |
−0.946411 | + | 0.322965i | \(0.895320\pi\) | |||||||
\(380\) | −0.0799664 | − | 1.37297i | −0.00410219 | − | 0.0704319i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.9671 | + | 1.74940i | −0.765782 | + | 0.0895070i | ||||
\(383\) | 10.2165 | + | 34.1256i | 0.522040 | + | 1.74374i | 0.657996 | + | 0.753022i | \(0.271404\pi\) |
−0.135955 | + | 0.990715i | \(0.543410\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.175276 | + | 0.406335i | 0.00893288 | + | 0.0207088i | ||||
\(386\) | 22.0950 | + | 8.04193i | 1.12461 | + | 0.409324i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.18276 | − | 2.97828i | 0.415417 | − | 0.151199i | ||||
\(389\) | −8.68991 | − | 9.21077i | −0.440596 | − | 0.467005i | 0.468577 | − | 0.883423i | \(-0.344767\pi\) |
−0.909173 | + | 0.416418i | \(0.863285\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.70844 | − | 2.86689i | 0.288688 | − | 0.144985i | ||||
\(392\) | 1.22798 | − | 21.0837i | 0.0620226 | − | 1.06489i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.513567 | + | 1.71543i | −0.0258731 | + | 0.0864223i | ||||
\(395\) | −1.05629 | + | 5.99053i | −0.0531478 | + | 0.301416i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.88601 | + | 10.6961i | 0.0946564 | + | 0.536823i | 0.994852 | + | 0.101337i | \(0.0323122\pi\) |
−0.900196 | + | 0.435486i | \(0.856577\pi\) | |||||||
\(398\) | 11.3104 | + | 1.32200i | 0.566939 | + | 0.0662656i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.48304 | + | 4.75175i | −0.224152 | + | 0.237587i | ||||
\(401\) | 2.27311 | − | 5.26965i | 0.113514 | − | 0.263154i | −0.851983 | − | 0.523569i | \(-0.824600\pi\) |
0.965497 | + | 0.260415i | \(0.0838594\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 19.8842 | − | 13.0781i | 0.990505 | − | 0.651465i | ||||
\(404\) | 8.00667 | 0.398347 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.82891 | 0.0907674 | ||||||||
\(407\) | 10.7785 | − | 7.08910i | 0.534268 | − | 0.351394i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.7085 | + | 27.1434i | −0.578948 | + | 1.34215i | 0.337245 | + | 0.941417i | \(0.390505\pi\) |
−0.916193 | + | 0.400737i | \(0.868754\pi\) | |||||||
\(410\) | 7.16952 | − | 7.59925i | 0.354078 | − | 0.375300i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.5624 | + | 1.46833i | 0.618903 | + | 0.0723394i | ||||
\(413\) | 0.0627404 | + | 0.355818i | 0.00308725 | + | 0.0175087i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.00964 | − | 11.3972i | 0.0986491 | − | 0.559467i | ||||
\(416\) | 7.17503 | − | 23.9663i | 0.351785 | − | 1.17504i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.209464 | − | 3.59636i | 0.0102452 | − | 0.175904i | ||||
\(419\) | −7.98438 | + | 4.00990i | −0.390062 | + | 0.195897i | −0.633012 | − | 0.774142i | \(-0.718181\pi\) |
0.242949 | + | 0.970039i | \(0.421885\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.73759 | − | 1.84173i | −0.0846848 | − | 0.0897606i | 0.683645 | − | 0.729814i | \(-0.260394\pi\) |
−0.768330 | + | 0.640054i | \(0.778912\pi\) | |||||||
\(422\) | −10.4679 | + | 3.81001i | −0.509570 | + | 0.185468i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.84319 | − | 3.21866i | −0.429463 | − | 0.156312i | ||||
\(425\) | 7.97367 | + | 18.4851i | 0.386780 | + | 0.896657i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.227626 | + | 0.760322i | 0.0110156 | + | 0.0367946i | ||||
\(428\) | −0.0645180 | + | 0.00754107i | −0.00311860 | + | 0.000364511i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.673263 | − | 11.5595i | −0.0324676 | − | 0.557448i | ||||
\(431\) | −14.8594 | − | 25.7372i | −0.715750 | − | 1.23972i | −0.962669 | − | 0.270680i | \(-0.912751\pi\) |
0.246919 | − | 0.969036i | \(-0.420582\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.612994 | − | 1.06174i | 0.0294586 | − | 0.0510238i | −0.850920 | − | 0.525295i | \(-0.823955\pi\) |
0.880379 | + | 0.474271i | \(0.157288\pi\) | |||||||
\(434\) | −1.16195 | − | 0.583551i | −0.0557752 | − | 0.0280114i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.72698 | − | 3.66298i | −0.130599 | − | 0.175425i | ||||
\(437\) | −2.46193 | − | 0.583487i | −0.117770 | − | 0.0279120i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.3661 | + | 13.9241i | −0.494748 | + | 0.664562i | −0.977436 | − | 0.211231i | \(-0.932253\pi\) |
0.482689 | + | 0.875792i | \(0.339660\pi\) | |||||||
\(440\) | −3.61294 | + | 3.03162i | −0.172240 | + | 0.144527i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.5252 | + | 18.0618i | 1.02385 | + | 0.859113i | ||||
\(443\) | −11.6619 | + | 2.76392i | −0.554073 | + | 0.131318i | −0.498108 | − | 0.867115i | \(-0.665972\pi\) |
−0.0559651 | + | 0.998433i | \(0.517824\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.308234 | − | 0.202729i | −0.0146117 | − | 0.00961027i | ||||
\(446\) | 12.1456 | + | 7.98827i | 0.575109 | + | 0.378255i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.18254 | + | 0.517271i | −0.103115 | + | 0.0244388i | ||||
\(449\) | 15.0015 | + | 12.5878i | 0.707965 | + | 0.594053i | 0.924027 | − | 0.382327i | \(-0.124877\pi\) |
−0.216063 | + | 0.976380i | \(0.569322\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −15.9095 | + | 13.3497i | −0.749150 | + | 0.628611i | ||||
\(452\) | 9.54203 | − | 12.8172i | 0.448820 | − | 0.602869i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.5924 | + | 3.22145i | 0.637921 | + | 0.151190i | ||||
\(455\) | 0.816411 | + | 1.09663i | 0.0382739 | + | 0.0514108i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 21.4625 | + | 10.7789i | 1.00397 | + | 0.504215i | 0.873286 | − | 0.487208i | \(-0.161985\pi\) |
0.130689 | + | 0.991423i | \(0.458281\pi\) | |||||||
\(458\) | 0.919654 | − | 1.59289i | 0.0429726 | − | 0.0744308i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.499212 | + | 0.864661i | 0.0232759 | + | 0.0403150i | ||||
\(461\) | 0.823736 | + | 14.1430i | 0.0383652 | + | 0.658705i | 0.961598 | + | 0.274463i | \(0.0885001\pi\) |
−0.923232 | + | 0.384242i | \(0.874463\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.9340 | − | 1.27800i | 0.508147 | − | 0.0593938i | 0.141843 | − | 0.989889i | \(-0.454697\pi\) |
0.366304 | + | 0.930495i | \(0.380623\pi\) | |||||||
\(464\) | 2.62660 | + | 8.77345i | 0.121937 | + | 0.407297i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.2445 | + | 23.7495i | 0.474569 | + | 1.10018i | ||||
\(467\) | 36.6170 | + | 13.3275i | 1.69443 | + | 0.616723i | 0.995172 | − | 0.0981436i | \(-0.0312904\pi\) |
0.699261 | + | 0.714867i | \(0.253513\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.69059 | + | 0.615324i | −0.0780642 | + | 0.0284130i | ||||
\(470\) | 1.28045 | + | 1.35720i | 0.0590628 | + | 0.0626029i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.44115 | + | 1.72821i | −0.158392 | + | 0.0795472i | ||||
\(473\) | −1.33837 | + | 22.9789i | −0.0615381 | + | 1.05657i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.28688 | − | 7.63872i | 0.104929 | − | 0.350488i | ||||
\(476\) | −0.202307 | + | 1.14734i | −0.00927272 | + | 0.0525882i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.10044 | − | 23.2547i | −0.187550 | − | 1.06365i | ||||
\(479\) | −14.0251 | − | 1.63930i | −0.640825 | − | 0.0749017i | −0.210526 | − | 0.977588i | \(-0.567518\pi\) |
−0.430299 | + | 0.902686i | \(0.641592\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 27.3510 | − | 28.9904i | 1.24710 | − | 1.32185i | ||||
\(482\) | 7.63332 | − | 17.6960i | 0.347688 | − | 0.806032i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.56961 | + | 3.66319i | −0.253164 | + | 0.166509i | ||||
\(485\) | −8.61486 | −0.391181 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.6224 | −0.526663 | −0.263332 | − | 0.964705i | \(-0.584821\pi\) | ||||
−0.263332 | + | 0.964705i | \(0.584821\pi\) | |||||||
\(488\) | −7.06715 | + | 4.64814i | −0.319915 | + | 0.210411i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.49438 | + | 5.78263i | −0.112685 | + | 0.261233i | ||||
\(491\) | 3.60508 | − | 3.82116i | 0.162695 | − | 0.172447i | −0.640898 | − | 0.767626i | \(-0.721438\pi\) |
0.803593 | + | 0.595180i | \(0.202919\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 28.0313 | + | 3.27639i | 1.26247 | + | 0.147561i | ||||
\(494\) | −1.93263 | − | 10.9605i | −0.0869530 | − | 0.493135i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.13061 | − | 6.41203i | 0.0507660 | − | 0.287909i | ||||
\(497\) | 1.05997 | − | 3.54053i | 0.0475460 | − | 0.158815i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.320759 | + | 5.50722i | −0.0143592 | + | 0.246537i | 0.983489 | + | 0.180968i | \(0.0579232\pi\) |
−0.997848 | + | 0.0655687i | \(0.979114\pi\) | |||||||
\(500\) | −6.10350 | + | 3.06529i | −0.272957 | + | 0.137084i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.35016 | − | 7.79071i | −0.328054 | − | 0.347717i | ||||
\(503\) | −31.2754 | + | 11.3833i | −1.39450 | + | 0.507557i | −0.926541 | − | 0.376193i | \(-0.877233\pi\) |
−0.467959 | + | 0.883750i | \(0.655011\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.44341 | − | 2.70918i | −0.331227 | − | 0.120557i | ||||
\(506\) | 1.03586 | + | 2.40139i | 0.0460495 | + | 0.106755i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.75550 | + | 9.20402i | 0.122256 | + | 0.408362i | ||||
\(509\) | 21.9142 | − | 2.56140i | 0.971328 | − | 0.113532i | 0.384396 | − | 0.923168i | \(-0.374410\pi\) |
0.586932 | + | 0.809636i | \(0.300336\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.106951 | − | 1.83628i | −0.00473124 | − | 0.0812323i | ||||
\(512\) | −8.09134 | − | 14.0146i | −0.357590 | − | 0.619364i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.89144 | + | 8.47222i | −0.215752 | + | 0.373694i | ||||
\(515\) | −11.1818 | − | 5.61570i | −0.492728 | − | 0.247457i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.21496 | − | 2.97520i | −0.0974137 | − | 0.130849i | ||||
\(518\) | −2.11879 | − | 0.502162i | −0.0930942 | − | 0.0220637i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.70114 | + | 11.6877i | −0.381570 | + | 0.512538i | ||||
\(521\) | 21.4866 | − | 18.0294i | 0.941345 | − | 0.789882i | −0.0364742 | − | 0.999335i | \(-0.511613\pi\) |
0.977819 | + | 0.209453i | \(0.0671682\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.29841 | − | 5.28500i | −0.275410 | − | 0.231097i | 0.494612 | − | 0.869114i | \(-0.335310\pi\) |
−0.770022 | + | 0.638017i | \(0.779755\pi\) | |||||||
\(524\) | −0.231712 | + | 0.0549167i | −0.0101224 | + | 0.00239905i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −21.1730 | − | 13.9257i | −0.923186 | − | 0.607189i | ||||
\(527\) | −16.7635 | − | 11.0255i | −0.730229 | − | 0.480279i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.5927 | + | 4.88057i | −0.895337 | + | 0.212199i | ||||
\(530\) | 2.14969 | + | 1.80381i | 0.0933766 | + | 0.0783523i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.353491 | − | 0.296614i | 0.0153258 | − | 0.0128598i | ||||
\(533\) | −38.3153 | + | 51.4664i | −1.65962 | + | 2.22926i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.0625308 | + | 0.0148201i | 0.00270344 | + | 0.000640728i | ||||
\(536\) | −11.4501 | − | 15.3802i | −0.494569 | − | 0.664322i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.38625 | + | 3.20729i | 0.275331 | + | 0.138276i | ||||
\(539\) | 6.25951 | − | 10.8418i | 0.269616 | − | 0.466989i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.833782 | + | 1.44415i | 0.0358471 | + | 0.0620889i | 0.883392 | − | 0.468634i | \(-0.155254\pi\) |
−0.847545 | + | 0.530723i | \(0.821920\pi\) | |||||||
\(542\) | −0.588390 | − | 10.1023i | −0.0252735 | − | 0.433930i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −20.9483 | + | 2.44850i | −0.898150 | + | 0.104979i | ||||
\(545\) | 1.29572 | + | 4.32801i | 0.0555025 | + | 0.185391i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.06785 | + | 16.3851i | 0.302199 | + | 0.700577i | 0.999875 | − | 0.0158373i | \(-0.00504139\pi\) |
−0.697675 | + | 0.716414i | \(0.745782\pi\) | |||||||
\(548\) | 8.54475 | + | 3.11003i | 0.365013 | + | 0.132854i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −7.74498 | + | 2.81894i | −0.330247 | + | 0.120200i | ||||
\(551\) | −7.67098 | − | 8.13076i | −0.326795 | − | 0.346382i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.82390 | + | 0.915996i | −0.0775600 | + | 0.0389521i | ||||
\(554\) | −0.0859560 | + | 1.47581i | −0.00365192 | + | 0.0627010i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.134119 | − | 0.447988i | 0.00568790 | − | 0.0189989i | ||||
\(557\) | 3.03540 | − | 17.2146i | 0.128614 | − | 0.729407i | −0.850481 | − | 0.526005i | \(-0.823689\pi\) |
0.979095 | − | 0.203402i | \(-0.0651997\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.3485 | + | 70.0317i | 0.522285 | + | 2.96203i | ||||
\(560\) | 0.371490 | + | 0.0434210i | 0.0156983 | + | 0.00183487i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 11.7178 | − | 12.4201i | 0.494285 | − | 0.523912i | ||||
\(563\) | 13.6909 | − | 31.7390i | 0.577002 | − | 1.33764i | −0.340626 | − | 0.940199i | \(-0.610639\pi\) |
0.917628 | − | 0.397441i | \(-0.130102\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.2076 | + | 8.68681i | −0.555650 | + | 0.365457i | ||||
\(566\) | 0.334965 | 0.0140796 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 39.3890 | 1.65273 | ||||||||
\(569\) | −21.3130 | + | 14.0178i | −0.893489 | + | 0.587657i | −0.911099 | − | 0.412188i | \(-0.864765\pi\) |
0.0176099 | + | 0.999845i | \(0.494394\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.79169 | − | 20.3814i | 0.367921 | − | 0.852936i | −0.629210 | − | 0.777235i | \(-0.716621\pi\) |
0.997131 | − | 0.0757007i | \(-0.0241194\pi\) | |||||||
\(572\) | 5.99126 | − | 6.35036i | 0.250507 | − | 0.265522i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.48172 | + | 0.406955i | 0.145324 | + | 0.0169860i | ||||
\(575\) | 1.00519 | + | 5.70073i | 0.0419194 | + | 0.237737i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.76924 | + | 21.3764i | −0.156915 | + | 0.889911i | 0.800098 | + | 0.599869i | \(0.204781\pi\) |
−0.957014 | + | 0.290042i | \(0.906331\pi\) | |||||||
\(578\) | 1.59504 | − | 5.32779i | 0.0663448 | − | 0.221607i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.256483 | + | 4.40364i | −0.0106499 | + | 0.182851i | ||||
\(581\) | 3.47003 | − | 1.74272i | 0.143961 | − | 0.0723000i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.82815 | − | 4.05760i | −0.158546 | − | 0.168049i | ||||
\(584\) | 18.4216 | − | 6.70492i | 0.762292 | − | 0.277452i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.7006 | + | 6.80646i | 0.772515 | + | 0.281172i | ||||
\(587\) | −8.05782 | − | 18.6801i | −0.332582 | − | 0.771012i | −0.999661 | − | 0.0260249i | \(-0.991715\pi\) |
0.667079 | − | 0.744987i | \(-0.267544\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.27925 | + | 7.61323i | 0.0939149 | + | 0.313698i | ||||
\(590\) | 1.14050 | − | 0.133306i | 0.0469538 | − | 0.00548811i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.633990 | − | 10.8852i | −0.0260568 | − | 0.447378i | ||||
\(593\) | 0.579087 | + | 1.00301i | 0.0237803 | + | 0.0411886i | 0.877671 | − | 0.479264i | \(-0.159096\pi\) |
−0.853890 | + | 0.520453i | \(0.825763\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.576294 | − | 0.998171i | 0.0236258 | − | 0.0409210i | ||||
\(596\) | 15.1478 | + | 7.60752i | 0.620479 | + | 0.311616i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.82488 | + | 6.48094i | 0.197304 | + | 0.265025i | ||||
\(599\) | −44.1467 | − | 10.4629i | −1.80378 | − | 0.427505i | −0.815326 | − | 0.579002i | \(-0.803442\pi\) |
−0.988458 | + | 0.151498i | \(0.951590\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.5190 | + | 26.2185i | −0.796195 | + | 1.06948i | 0.199780 | + | 0.979841i | \(0.435977\pi\) |
−0.995975 | + | 0.0896345i | \(0.971430\pi\) | |||||||
\(602\) | 2.97615 | − | 2.49729i | 0.121299 | − | 0.101782i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.80464 | − | 8.22707i | −0.398945 | − | 0.334755i | ||||
\(605\) | 6.41729 | − | 1.52093i | 0.260900 | − | 0.0618344i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.512985 | − | 0.337395i | −0.0208214 | − | 0.0136945i | 0.539056 | − | 0.842270i | \(-0.318781\pi\) |
−0.559877 | + | 0.828576i | \(0.689152\pi\) | |||||||
\(608\) | 6.97941 | + | 4.59043i | 0.283052 | + | 0.186167i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.45435 | − | 0.581691i | 0.0993736 | − | 0.0235520i | ||||
\(611\) | −8.77827 | − | 7.36585i | −0.355131 | − | 0.297990i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.6352 | + | 13.1195i | −0.631499 | + | 0.529891i | −0.901394 | − | 0.432999i | \(-0.857455\pi\) |
0.269895 | + | 0.962890i | \(0.413011\pi\) | |||||||
\(614\) | 17.2401 | − | 23.1574i | 0.695752 | − | 0.934557i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.53981 | − | 0.364942i | −0.0620407 | − | 0.0147039i | ||||
\(617\) | 5.77352 | + | 7.75518i | 0.232433 | + | 0.312212i | 0.903003 | − | 0.429635i | \(-0.141358\pi\) |
−0.670570 | + | 0.741847i | \(0.733950\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.0046 | − | 12.0556i | −0.964828 | − | 0.484555i | −0.104628 | − | 0.994511i | \(-0.533365\pi\) |
−0.860200 | + | 0.509957i | \(0.829661\pi\) | |||||||
\(620\) | 1.56802 | − | 2.71589i | 0.0629732 | − | 0.109073i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.60160 | − | 11.4343i | −0.264700 | − | 0.458474i | ||||
\(623\) | −0.00719746 | − | 0.123576i | −0.000288360 | − | 0.00495095i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −14.5002 | + | 1.69483i | −0.580008 | + | 0.0677932i | ||||
\(626\) | −6.56393 | − | 21.9251i | −0.262347 | − | 0.876302i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.99623 | − | 4.62778i | −0.0796581 | − | 0.184668i | ||||
\(629\) | −31.5746 | − | 11.4922i | −1.25896 | − | 0.458224i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.6208 | − | 10.7811i | 1.17918 | − | 0.429188i | 0.323270 | − | 0.946307i | \(-0.395218\pi\) |
0.855914 | + | 0.517119i | \(0.172996\pi\) | |||||||
\(632\) | −14.9275 | − | 15.8222i | −0.593782 | − | 0.629372i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 22.4941 | − | 11.2969i | 0.893354 | − | 0.448659i | ||||
\(635\) | 0.552665 | − | 9.48889i | 0.0219318 | − | 0.376555i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.0926 | − | 37.0519i | 0.439505 | − | 1.46805i | ||||
\(638\) | −2.00641 | + | 11.3789i | −0.0794344 | + | 0.450495i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.0888692 | − | 0.504002i | −0.00351286 | − | 0.0199224i | ||||
\(641\) | 11.2656 | + | 1.31676i | 0.444965 | + | 0.0520089i | 0.335625 | − | 0.941996i | \(-0.391052\pi\) |
0.109339 | + | 0.994004i | \(0.465126\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.07210 | + | 9.61586i | −0.357769 | + | 0.379213i | −0.881111 | − | 0.472910i | \(-0.843204\pi\) |
0.523342 | + | 0.852123i | \(0.324685\pi\) | |||||||
\(644\) | −0.132686 | + | 0.307601i | −0.00522857 | + | 0.0121212i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.83922 | + | 5.15594i | −0.308430 | + | 0.202858i | ||||
\(647\) | −36.5943 | −1.43867 | −0.719336 | − | 0.694663i | \(-0.755554\pi\) | ||||
−0.719336 | + | 0.694663i | \(0.755554\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.28261 | −0.0896005 | ||||||||
\(650\) | −21.2743 | + | 13.9923i | −0.834445 | + | 0.548823i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.35488 | − | 5.45923i | 0.0922244 | − | 0.213800i | ||||
\(653\) | −18.7327 | + | 19.8555i | −0.733069 | + | 0.777008i | −0.981463 | − | 0.191651i | \(-0.938616\pi\) |
0.248394 | + | 0.968659i | \(0.420097\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.233993 | + | 0.0273499i | 0.00914287 | + | 0.00106865i | ||||
\(656\) | 3.04809 | + | 17.2866i | 0.119008 | + | 0.674928i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.108714 | + | 0.616545i | −0.00423809 | + | 0.0240354i | ||||
\(659\) | 4.23303 | − | 14.1393i | 0.164895 | − | 0.550789i | −0.835104 | − | 0.550091i | \(-0.814593\pi\) |
1.00000 | 0.000697383i | \(-0.000221984\pi\) | ||||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.61762 | − | 27.7734i | 0.0629181 | − | 1.08026i | −0.808111 | − | 0.589030i | \(-0.799510\pi\) |
0.871029 | − | 0.491232i | \(-0.163453\pi\) | |||||||
\(662\) | 0.807887 | − | 0.405736i | 0.0313994 | − | 0.0157694i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 28.4000 | + | 30.1023i | 1.10214 | + | 1.16820i | ||||
\(665\) | −0.428987 | + | 0.156138i | −0.0166354 | + | 0.00605479i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.62568 | + | 2.77552i | 0.295267 | + | 0.107469i | ||||
\(668\) | 6.06466 | + | 14.0595i | 0.234649 | + | 0.543977i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.63984 | + | 5.47746i | 0.0633527 | + | 0.211613i | ||||
\(671\) | −4.98019 | + | 0.582101i | −0.192258 | + | 0.0224718i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.91225 | − | 32.8321i | −0.0737118 | − | 1.26558i | −0.808992 | − | 0.587820i | \(-0.799986\pi\) |
0.735280 | − | 0.677763i | \(-0.237051\pi\) | |||||||
\(674\) | 1.08967 | + | 1.88737i | 0.0419727 | + | 0.0726989i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.87718 | − | 13.6437i | 0.302968 | − | 0.524757i | ||||
\(677\) | −21.5460 | − | 10.8208i | −0.828081 | − | 0.415878i | −0.0163192 | − | 0.999867i | \(-0.505195\pi\) |
−0.811762 | + | 0.583989i | \(0.801491\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.72610 | − | 2.31855i | −0.0662416 | − | 0.0889779i | ||||
\(680\) | 11.9529 | + | 2.83290i | 0.458374 | + | 0.108637i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.90538 | − | 6.58907i | 0.187837 | − | 0.252308i | ||||
\(683\) | −10.1873 | + | 8.54816i | −0.389806 | + | 0.327086i | −0.816538 | − | 0.577292i | \(-0.804109\pi\) |
0.426731 | + | 0.904378i | \(0.359665\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.89130 | − | 5.78249i | −0.263303 | − | 0.220938i | ||||
\(686\) | −4.13656 | + | 0.980382i | −0.157934 | + | 0.0374311i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 16.2539 | + | 10.6904i | 0.619675 | + | 0.407567i | ||||
\(689\) | −14.3990 | − | 9.47035i | −0.548557 | − | 0.360792i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −42.6555 | + | 10.1095i | −1.62269 | + | 0.384585i | −0.938654 | − | 0.344862i | \(-0.887926\pi\) |
−0.684038 | + | 0.729447i | \(0.739778\pi\) | |||||||
\(692\) | −9.24612 | − | 7.75841i | −0.351485 | − | 0.294931i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.31231 | − | 4.45756i | 0.201653 | − | 0.169207i | ||||
\(695\) | −0.276267 | + | 0.371091i | −0.0104794 | + | 0.0140763i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 52.6345 | + | 12.4746i | 1.99367 | + | 0.472510i | ||||
\(698\) | −4.21593 | − | 5.66297i | −0.159575 | − | 0.214347i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.943452 | − | 0.473819i | −0.0356591 | − | 0.0179087i | ||||
\(701\) | −3.65194 | + | 6.32534i | −0.137932 | + | 0.238905i | −0.926714 | − | 0.375768i | \(-0.877379\pi\) |
0.788782 | + | 0.614673i | \(0.210712\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.65434 | + | 11.5257i | 0.250973 | + | 0.434699i | ||||
\(704\) | −0.823941 | − | 14.1465i | −0.0310535 | − | 0.533167i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.320133 | + | 0.0374181i | −0.0120484 | + | 0.00140825i | ||||
\(707\) | −0.762251 | − | 2.54609i | −0.0286674 | − | 0.0957558i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −17.3188 | − | 40.1494i | −0.650420 | − | 1.50784i | −0.849350 | − | 0.527829i | \(-0.823006\pi\) |
0.198931 | − | 0.980014i | \(-0.436253\pi\) | |||||||
\(710\) | −11.0372 | − | 4.01722i | −0.414219 | − | 0.150764i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.23971 | − | 0.451219i | 0.0464602 | − | 0.0169101i | ||||
\(713\) | −3.95917 | − | 4.19647i | −0.148272 | − | 0.157159i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.71852 | + | 3.87638i | −0.288656 | + | 0.144969i | ||||
\(716\) | −0.526080 | + | 9.03245i | −0.0196605 | + | 0.337558i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.25556 | − | 4.19385i | 0.0468569 | − | 0.156513i | ||||
\(719\) | −1.93615 | + | 10.9804i | −0.0722061 | + | 0.409501i | 0.927185 | + | 0.374604i | \(0.122221\pi\) |
−0.999391 | + | 0.0348968i | \(0.988890\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.729037 | − | 4.13457i | −0.0271508 | − | 0.153980i | ||||
\(722\) | −16.4321 | − | 1.92064i | −0.611541 | − | 0.0714789i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.34856 | + | 7.78902i | −0.273107 | + | 0.289477i | ||||
\(725\) | −10.1296 | + | 23.4831i | −0.376204 | + | 0.872140i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −24.3067 | + | 15.9867i | −0.901484 | + | 0.592916i | −0.913422 | − | 0.407013i | \(-0.866570\pi\) |
0.0119379 | + | 0.999929i | \(0.496200\pi\) | |||||||
\(728\) | −4.88893 | −0.181196 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.84576 | −0.216361 | ||||||||
\(731\) | 50.0886 | − | 32.9438i | 1.85259 | − | 1.21847i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.87604 | − | 15.9405i | 0.253972 | − | 0.588774i | −0.742759 | − | 0.669559i | \(-0.766483\pi\) |
0.996732 | + | 0.0807844i | \(0.0257425\pi\) | |||||||
\(734\) | −6.58210 | + | 6.97662i | −0.242950 | + | 0.257512i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.02353 | − | 0.704050i | −0.222030 | − | 0.0259516i | ||||
\(737\) | −1.97369 | − | 11.1933i | −0.0727017 | − | 0.412312i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.59215 | − | 20.3721i | 0.132139 | − | 0.749400i | −0.844670 | − | 0.535288i | \(-0.820203\pi\) |
0.976809 | − | 0.214112i | \(-0.0686857\pi\) | |||||||
\(740\) | 1.50623 | − | 5.03117i | 0.0553703 | − | 0.184950i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.0547471 | + | 0.939971i | −0.00200983 | + | 0.0345074i | ||||
\(743\) | −34.0508 | + | 17.1009i | −1.24920 | + | 0.627373i | −0.945571 | − | 0.325417i | \(-0.894495\pi\) |
−0.303632 | + | 0.952790i | \(0.598199\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.5081 | − | 12.1978i | −0.421623 | − | 0.446894i | ||||
\(746\) | 5.27104 | − | 1.91850i | 0.192986 | − | 0.0702413i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.91643 | − | 2.51737i | −0.252890 | − | 0.0920443i | ||||
\(749\) | 0.00854027 | + | 0.0197986i | 0.000312055 | + | 0.000723424i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.82318 | − | 32.8117i | −0.358453 | − | 1.19732i | −0.927125 | − | 0.374752i | \(-0.877728\pi\) |
0.568672 | − | 0.822564i | \(-0.307457\pi\) | |||||||
\(752\) | −3.11375 | + | 0.363945i | −0.113547 | + | 0.0132717i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.07558 | + | 35.6363i | 0.0755881 | + | 1.29780i | ||||
\(755\) | 6.33114 | + | 10.9659i | 0.230414 | + | 0.399088i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.5877 | + | 25.2666i | −0.530198 | + | 0.918330i | 0.469181 | + | 0.883102i | \(0.344549\pi\) |
−0.999379 | + | 0.0352284i | \(0.988784\pi\) | |||||||
\(758\) | −7.17966 | − | 3.60576i | −0.260777 | − | 0.130967i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.90546 | − | 3.90271i | −0.105392 | − | 0.141566i | ||||
\(761\) | 12.0070 | + | 2.84572i | 0.435255 | + | 0.103157i | 0.442401 | − | 0.896817i | \(-0.354127\pi\) |
−0.00714662 | + | 0.999974i | \(0.502275\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.905200 | + | 1.21589i | −0.0327704 | + | 0.0440183i | ||||
\(764\) | 9.34155 | − | 7.83849i | 0.337965 | − | 0.283587i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.0983 | + | 24.4163i | 1.05136 | + | 0.882198i | ||||
\(767\) | −6.86191 | + | 1.62630i | −0.247769 | + | 0.0587224i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.31777 | − | 1.52442i | −0.0835810 | − | 0.0549721i | 0.507031 | − | 0.861928i | \(-0.330743\pi\) |
−0.590612 | + | 0.806956i | \(0.701113\pi\) | |||||||
\(770\) | 0.394251 | + | 0.259303i | 0.0142078 | + | 0.00934464i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −18.5150 | + | 4.38813i | −0.666369 | + | 0.157932i | ||||
\(773\) | −21.3606 | − | 17.9237i | −0.768287 | − | 0.644669i | 0.171983 | − | 0.985100i | \(-0.444983\pi\) |
−0.940270 | + | 0.340431i | \(0.889427\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 13.9283 | − | 11.6872i | 0.500320 | − | 0.419818i | ||||
\(776\) | 18.3964 | − | 24.7107i | 0.660392 | − | 0.887061i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −13.1391 | − | 3.11402i | −0.471059 | − | 0.111643i | ||||
\(779\) | −12.7941 | − | 17.1855i | −0.458398 | − | 0.615735i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 20.8652 | + | 10.4789i | 0.746616 | + | 0.374964i | ||||
\(782\) | 3.40582 | − | 5.89906i | 0.121792 | − | 0.210950i | ||||
\(783\) | 0 |