Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 65.6 | ||
Character | \(\chi\) | \(=\) | 177.65 |
Dual form | 177.2.f.a.128.6 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{51}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.472909 | − | 1.18691i | −0.334397 | − | 0.839274i | −0.995994 | − | 0.0894147i | \(-0.971500\pi\) |
0.661597 | − | 0.749860i | \(-0.269879\pi\) | |||||||
\(3\) | −1.42996 | + | 0.977348i | −0.825589 | + | 0.564272i | ||||
\(4\) | 0.266872 | − | 0.252795i | 0.133436 | − | 0.126397i | ||||
\(5\) | −0.187027 | + | 0.158862i | −0.0836409 | + | 0.0710452i | −0.688231 | − | 0.725491i | \(-0.741613\pi\) |
0.604591 | + | 0.796536i | \(0.293337\pi\) | |||||||
\(6\) | 1.83627 | + | 1.23504i | 0.749654 | + | 0.504204i | ||||
\(7\) | 2.43110 | − | 1.46275i | 0.918870 | − | 0.552866i | 0.0242561 | − | 0.999706i | \(-0.492278\pi\) |
0.894614 | + | 0.446840i | \(0.147451\pi\) | |||||||
\(8\) | −2.74539 | − | 1.27015i | −0.970642 | − | 0.449067i | ||||
\(9\) | 1.08958 | − | 2.79514i | 0.363194 | − | 0.931713i | ||||
\(10\) | 0.277002 | + | 0.146857i | 0.0875957 | + | 0.0464403i | ||||
\(11\) | −0.109776 | − | 2.02469i | −0.0330986 | − | 0.610468i | −0.967286 | − | 0.253687i | \(-0.918357\pi\) |
0.934188 | − | 0.356782i | \(-0.116126\pi\) | |||||||
\(12\) | −0.134549 | + | 0.622313i | −0.0388408 | + | 0.179646i | ||||
\(13\) | 0.464390 | − | 2.10975i | 0.128799 | − | 0.585138i | −0.867368 | − | 0.497667i | \(-0.834190\pi\) |
0.996167 | − | 0.0874715i | \(-0.0278787\pi\) | |||||||
\(14\) | −2.88584 | − | 2.19376i | −0.771274 | − | 0.586307i | ||||
\(15\) | 0.112178 | − | 0.409957i | 0.0289642 | − | 0.105850i | ||||
\(16\) | −0.169438 | + | 3.12510i | −0.0423594 | + | 0.781274i | ||||
\(17\) | 1.22526 | − | 2.03640i | 0.297169 | − | 0.493899i | −0.671916 | − | 0.740628i | \(-0.734528\pi\) |
0.969084 | + | 0.246729i | \(0.0793558\pi\) | |||||||
\(18\) | −3.83286 | + | 0.0286073i | −0.903414 | + | 0.00674281i | ||||
\(19\) | −1.36242 | − | 4.90699i | −0.312560 | − | 1.12574i | −0.938332 | − | 0.345735i | \(-0.887630\pi\) |
0.625772 | − | 0.780006i | \(-0.284784\pi\) | |||||||
\(20\) | −0.00975276 | + | 0.0896751i | −0.00218078 | + | 0.0200520i | ||||
\(21\) | −2.04677 | + | 4.46770i | −0.446642 | + | 0.974932i | ||||
\(22\) | −2.35122 | + | 1.08779i | −0.501282 | + | 0.231918i | ||||
\(23\) | −1.16581 | + | 1.71944i | −0.243088 | + | 0.358528i | −0.929587 | − | 0.368603i | \(-0.879836\pi\) |
0.686499 | + | 0.727131i | \(0.259147\pi\) | |||||||
\(24\) | 5.16718 | − | 0.866930i | 1.05475 | − | 0.176961i | ||||
\(25\) | −0.799168 | + | 4.87471i | −0.159834 | + | 0.974942i | ||||
\(26\) | −2.72370 | + | 0.446528i | −0.534161 | + | 0.0875713i | ||||
\(27\) | 1.17376 | + | 5.06185i | 0.225890 | + | 0.974153i | ||||
\(28\) | 0.279019 | − | 1.00493i | 0.0527296 | − | 0.189915i | ||||
\(29\) | 6.90693 | + | 2.75197i | 1.28258 | + | 0.511028i | 0.909088 | − | 0.416604i | \(-0.136780\pi\) |
0.373496 | + | 0.927632i | \(0.378159\pi\) | |||||||
\(30\) | −0.539633 | + | 0.0607270i | −0.0985230 | + | 0.0110872i | ||||
\(31\) | 1.87329 | + | 0.520118i | 0.336454 | + | 0.0934159i | 0.431646 | − | 0.902043i | \(-0.357933\pi\) |
−0.0951926 | + | 0.995459i | \(0.530347\pi\) | |||||||
\(32\) | −1.94390 | + | 0.654977i | −0.343637 | + | 0.115785i | ||||
\(33\) | 2.13581 | + | 2.78795i | 0.371796 | + | 0.485319i | ||||
\(34\) | −2.99646 | − | 0.491245i | −0.513889 | − | 0.0842478i | ||||
\(35\) | −0.222306 | + | 0.659782i | −0.0375766 | + | 0.111523i | ||||
\(36\) | −0.415817 | − | 1.02139i | −0.0693028 | − | 0.170231i | ||||
\(37\) | 2.61159 | + | 5.64487i | 0.429343 | + | 0.928010i | 0.994667 | + | 0.103141i | \(0.0328893\pi\) |
−0.565323 | + | 0.824869i | \(0.691249\pi\) | |||||||
\(38\) | −5.17987 | + | 3.93764i | −0.840286 | + | 0.638769i | ||||
\(39\) | 1.39789 | + | 3.47073i | 0.223842 | + | 0.555761i | ||||
\(40\) | 0.715240 | − | 0.198585i | 0.113089 | − | 0.0313991i | ||||
\(41\) | 9.17878 | − | 6.22337i | 1.43348 | − | 0.971927i | 0.436082 | − | 0.899907i | \(-0.356366\pi\) |
0.997403 | − | 0.0720196i | \(-0.0229444\pi\) | |||||||
\(42\) | 6.27071 | + | 0.316523i | 0.967592 | + | 0.0488406i | ||||
\(43\) | −9.20994 | − | 0.499348i | −1.40450 | − | 0.0761499i | −0.663763 | − | 0.747943i | \(-0.731042\pi\) |
−0.740739 | + | 0.671793i | \(0.765525\pi\) | |||||||
\(44\) | −0.541128 | − | 0.512583i | −0.0815781 | − | 0.0772749i | ||||
\(45\) | 0.240260 | + | 0.695859i | 0.0358159 | + | 0.103733i | ||||
\(46\) | 2.59214 | + | 0.570574i | 0.382191 | + | 0.0841266i | ||||
\(47\) | −1.56059 | + | 1.83726i | −0.227635 | + | 0.267992i | −0.864108 | − | 0.503306i | \(-0.832117\pi\) |
0.636473 | + | 0.771299i | \(0.280393\pi\) | |||||||
\(48\) | −2.81201 | − | 4.63437i | −0.405879 | − | 0.668913i | ||||
\(49\) | 0.491772 | − | 0.927580i | 0.0702531 | − | 0.132511i | ||||
\(50\) | 6.16379 | − | 1.35675i | 0.871692 | − | 0.191874i | ||||
\(51\) | 0.238193 | + | 4.10947i | 0.0333537 | + | 0.575441i | ||||
\(52\) | −0.409400 | − | 0.680427i | −0.0567735 | − | 0.0943583i | ||||
\(53\) | −4.43423 | + | 2.35088i | −0.609088 | + | 0.322918i | −0.744245 | − | 0.667906i | \(-0.767191\pi\) |
0.135158 | + | 0.990824i | \(0.456846\pi\) | |||||||
\(54\) | 5.45289 | − | 3.78695i | 0.742044 | − | 0.515338i | ||||
\(55\) | 0.342178 | + | 0.361233i | 0.0461392 | + | 0.0487086i | ||||
\(56\) | −8.53223 | + | 0.927936i | −1.14017 | + | 0.124001i | ||||
\(57\) | 6.74404 | + | 5.68525i | 0.893271 | + | 0.753030i | ||||
\(58\) | − | 9.49935i | − | 1.24733i | ||||||
\(59\) | 5.00917 | + | 5.82308i | 0.652138 | + | 0.758100i | ||||
\(60\) | −0.0736977 | − | 0.137764i | −0.00951433 | − | 0.0177852i | ||||
\(61\) | 0.658068 | − | 0.262198i | 0.0842570 | − | 0.0335711i | −0.327629 | − | 0.944807i | \(-0.606250\pi\) |
0.411886 | + | 0.911235i | \(0.364870\pi\) | |||||||
\(62\) | −0.268564 | − | 2.46941i | −0.0341077 | − | 0.313615i | ||||
\(63\) | −1.43969 | − | 8.38905i | −0.181384 | − | 1.05692i | ||||
\(64\) | 5.74892 | + | 6.76815i | 0.718615 | + | 0.846019i | ||||
\(65\) | 0.248305 | + | 0.468353i | 0.0307984 | + | 0.0580920i | ||||
\(66\) | 2.29901 | − | 3.85346i | 0.282988 | − | 0.474328i | ||||
\(67\) | −3.53213 | + | 7.63456i | −0.431518 | + | 0.932710i | 0.562833 | + | 0.826570i | \(0.309711\pi\) |
−0.994351 | + | 0.106140i | \(0.966151\pi\) | |||||||
\(68\) | −0.187803 | − | 0.853196i | −0.0227744 | − | 0.103465i | ||||
\(69\) | −0.0134275 | − | 3.59813i | −0.00161648 | − | 0.433164i | ||||
\(70\) | 0.888234 | − | 0.0481587i | 0.106164 | − | 0.00575606i | ||||
\(71\) | 2.50904 | + | 2.13120i | 0.297768 | + | 0.252926i | 0.783798 | − | 0.621016i | \(-0.213280\pi\) |
−0.486030 | + | 0.873942i | \(0.661556\pi\) | |||||||
\(72\) | −6.54159 | + | 6.28981i | −0.770933 | + | 0.741262i | ||||
\(73\) | 1.17479 | − | 1.54540i | 0.137498 | − | 0.180876i | −0.722190 | − | 0.691694i | \(-0.756865\pi\) |
0.859689 | + | 0.510819i | \(0.170658\pi\) | |||||||
\(74\) | 5.46492 | − | 5.76924i | 0.635284 | − | 0.670661i | ||||
\(75\) | −3.62151 | − | 7.75172i | −0.418175 | − | 0.895091i | ||||
\(76\) | −1.60405 | − | 0.965126i | −0.183997 | − | 0.110708i | ||||
\(77\) | −3.22849 | − | 4.76166i | −0.367920 | − | 0.542642i | ||||
\(78\) | 3.45837 | − | 3.30052i | 0.391584 | − | 0.373710i | ||||
\(79\) | −8.46708 | − | 0.920850i | −0.952621 | − | 0.103604i | −0.381409 | − | 0.924406i | \(-0.624561\pi\) |
−0.571212 | + | 0.820803i | \(0.693527\pi\) | |||||||
\(80\) | −0.464769 | − | 0.611393i | −0.0519628 | − | 0.0683559i | ||||
\(81\) | −6.62562 | − | 6.09108i | −0.736180 | − | 0.676786i | ||||
\(82\) | −11.7273 | − | 7.95132i | −1.29507 | − | 0.878077i | ||||
\(83\) | −8.51364 | − | 2.86858i | −0.934493 | − | 0.314867i | −0.189455 | − | 0.981889i | \(-0.560672\pi\) |
−0.745038 | + | 0.667022i | \(0.767569\pi\) | |||||||
\(84\) | 0.583184 | + | 1.70972i | 0.0636306 | + | 0.186545i | ||||
\(85\) | 0.0943497 | + | 0.575507i | 0.0102337 | + | 0.0624225i | ||||
\(86\) | 3.76278 | + | 11.1675i | 0.405751 | + | 1.20423i | ||||
\(87\) | −12.5663 | + | 2.81525i | −1.34725 | + | 0.301827i | ||||
\(88\) | −2.27029 | + | 5.69801i | −0.242014 | + | 0.607410i | ||||
\(89\) | 4.91408 | − | 12.3334i | 0.520892 | − | 1.30734i | −0.399640 | − | 0.916672i | \(-0.630865\pi\) |
0.920532 | − | 0.390667i | \(-0.127756\pi\) | |||||||
\(90\) | 0.712303 | − | 0.614246i | 0.0750833 | − | 0.0647472i | ||||
\(91\) | −1.95704 | − | 5.80829i | −0.205154 | − | 0.608874i | ||||
\(92\) | 0.123543 | + | 0.753579i | 0.0128803 | + | 0.0785661i | ||||
\(93\) | −3.18708 | + | 1.08711i | −0.330484 | + | 0.112728i | ||||
\(94\) | 2.91869 | + | 0.983420i | 0.301040 | + | 0.101432i | ||||
\(95\) | 1.03434 | + | 0.701302i | 0.106121 | + | 0.0719521i | ||||
\(96\) | 2.13957 | − | 2.83646i | 0.218369 | − | 0.289495i | ||||
\(97\) | 5.55594 | + | 7.30871i | 0.564120 | + | 0.742087i | 0.986397 | − | 0.164379i | \(-0.0525621\pi\) |
−0.422277 | + | 0.906467i | \(0.638769\pi\) | |||||||
\(98\) | −1.33352 | − | 0.145029i | −0.134706 | − | 0.0146501i | ||||
\(99\) | −5.77891 | − | 1.89923i | −0.580803 | − | 0.190880i | ||||
\(100\) | 1.01902 | + | 1.50295i | 0.101902 | + | 0.150295i | ||||
\(101\) | 3.76973 | + | 2.26817i | 0.375102 | + | 0.225691i | 0.690603 | − | 0.723234i | \(-0.257345\pi\) |
−0.315501 | + | 0.948925i | \(0.602173\pi\) | |||||||
\(102\) | 4.76494 | − | 2.22612i | 0.471800 | − | 0.220419i | ||||
\(103\) | 10.5463 | − | 11.1336i | 1.03916 | − | 1.09703i | 0.0439718 | − | 0.999033i | \(-0.485999\pi\) |
0.995187 | − | 0.0979939i | \(-0.0312426\pi\) | |||||||
\(104\) | −3.95463 | + | 5.20223i | −0.387784 | + | 0.510121i | ||||
\(105\) | −0.326946 | − | 1.16073i | −0.0319067 | − | 0.113276i | ||||
\(106\) | 4.88727 | + | 4.15129i | 0.474694 | + | 0.403209i | ||||
\(107\) | −15.5514 | + | 0.843174i | −1.50341 | + | 0.0815127i | −0.787343 | − | 0.616515i | \(-0.788544\pi\) |
−0.716071 | + | 0.698028i | \(0.754061\pi\) | |||||||
\(108\) | 1.59285 | + | 1.05414i | 0.153272 | + | 0.101435i | ||||
\(109\) | 0.153945 | + | 0.699377i | 0.0147452 | + | 0.0669882i | 0.983419 | − | 0.181350i | \(-0.0580467\pi\) |
−0.968673 | + | 0.248338i | \(0.920116\pi\) | |||||||
\(110\) | 0.266933 | − | 0.576966i | 0.0254510 | − | 0.0550115i | ||||
\(111\) | −9.25148 | − | 5.51951i | −0.878111 | − | 0.523889i | ||||
\(112\) | 4.15930 | + | 7.84527i | 0.393017 | + | 0.741308i | ||||
\(113\) | 11.2612 | + | 13.2578i | 1.05937 | + | 1.24719i | 0.967889 | + | 0.251379i | \(0.0808841\pi\) |
0.0914806 | + | 0.995807i | \(0.470840\pi\) | |||||||
\(114\) | 3.55858 | − | 10.6932i | 0.333292 | − | 1.00151i | ||||
\(115\) | −0.0551160 | − | 0.506783i | −0.00513959 | − | 0.0472578i | ||||
\(116\) | 2.53895 | − | 1.01161i | 0.235735 | − | 0.0939256i | ||||
\(117\) | −5.39104 | − | 3.59678i | −0.498402 | − | 0.332522i | ||||
\(118\) | 4.54261 | − | 8.69923i | 0.418181 | − | 0.800829i | ||||
\(119\) | − | 6.74293i | − | 0.618123i | ||||||
\(120\) | −0.828679 | + | 0.983008i | −0.0756477 | + | 0.0897359i | ||||
\(121\) | 6.84818 | − | 0.744785i | 0.622562 | − | 0.0677077i | ||||
\(122\) | −0.622413 | − | 0.657074i | −0.0563507 | − | 0.0594887i | ||||
\(123\) | −7.04292 | + | 17.8700i | −0.635038 | + | 1.61129i | ||||
\(124\) | 0.631413 | − | 0.334754i | 0.0567025 | − | 0.0300618i | ||||
\(125\) | −1.25750 | − | 2.08998i | −0.112474 | − | 0.186933i | ||||
\(126\) | −9.27623 | + | 5.67605i | −0.826392 | + | 0.505663i | ||||
\(127\) | 17.4581 | − | 3.84282i | 1.54916 | − | 0.340995i | 0.643648 | − | 0.765322i | \(-0.277420\pi\) |
0.905509 | + | 0.424326i | \(0.139489\pi\) | |||||||
\(128\) | 3.39282 | − | 6.39953i | 0.299885 | − | 0.565644i | ||||
\(129\) | 13.6579 | − | 8.28726i | 1.20251 | − | 0.729653i | ||||
\(130\) | 0.438468 | − | 0.516205i | 0.0384562 | − | 0.0452741i | ||||
\(131\) | 8.84799 | + | 1.94759i | 0.773052 | + | 0.170162i | 0.583943 | − | 0.811794i | \(-0.301509\pi\) |
0.189109 | + | 0.981956i | \(0.439440\pi\) | |||||||
\(132\) | 1.27476 | + | 0.204105i | 0.110954 | + | 0.0177651i | ||||
\(133\) | −10.4899 | − | 9.93652i | −0.909586 | − | 0.861606i | ||||
\(134\) | 10.7319 | + | 0.581869i | 0.927098 | + | 0.0502658i | ||||
\(135\) | −1.02366 | − | 0.760234i | −0.0881025 | − | 0.0654306i | ||||
\(136\) | −5.95035 | + | 4.03444i | −0.510238 | + | 0.345950i | ||||
\(137\) | 8.06116 | − | 2.23817i | 0.688712 | − | 0.191220i | 0.0944956 | − | 0.995525i | \(-0.469876\pi\) |
0.594216 | + | 0.804305i | \(0.297462\pi\) | |||||||
\(138\) | −4.26432 | + | 1.71753i | −0.363003 | + | 0.146206i | ||||
\(139\) | 7.62179 | − | 5.79393i | 0.646472 | − | 0.491435i | −0.229809 | − | 0.973236i | \(-0.573810\pi\) |
0.876281 | + | 0.481801i | \(0.160017\pi\) | |||||||
\(140\) | 0.107462 | + | 0.232275i | 0.00908219 | + | 0.0196308i | ||||
\(141\) | 0.435933 | − | 4.15245i | 0.0367122 | − | 0.349700i | ||||
\(142\) | 1.34300 | − | 3.98587i | 0.112702 | − | 0.334487i | ||||
\(143\) | −4.32257 | − | 0.708649i | −0.361471 | − | 0.0592602i | ||||
\(144\) | 8.55046 | + | 3.87865i | 0.712539 | + | 0.323221i | ||||
\(145\) | −1.72896 | + | 0.582555i | −0.143583 | + | 0.0483786i | ||||
\(146\) | −2.38983 | − | 0.663532i | −0.197784 | − | 0.0549143i | ||||
\(147\) | 0.203353 | + | 1.80704i | 0.0167723 | + | 0.149042i | ||||
\(148\) | 2.12395 | + | 0.846260i | 0.174588 | + | 0.0695622i | ||||
\(149\) | −4.80402 | + | 17.3025i | −0.393561 | + | 1.41748i | 0.455997 | + | 0.889981i | \(0.349283\pi\) |
−0.849558 | + | 0.527496i | \(0.823131\pi\) | |||||||
\(150\) | −7.48797 | + | 7.96427i | −0.611390 | + | 0.650280i | ||||
\(151\) | −13.3902 | + | 2.19521i | −1.08968 | + | 0.178644i | −0.679729 | − | 0.733464i | \(-0.737902\pi\) |
−0.409951 | + | 0.912108i | \(0.634454\pi\) | |||||||
\(152\) | −2.49226 | + | 15.2021i | −0.202149 | + | 1.23305i | ||||
\(153\) | −4.35699 | − | 5.64359i | −0.352242 | − | 0.456258i | ||||
\(154\) | −4.12490 | + | 6.08377i | −0.332394 | + | 0.490244i | ||||
\(155\) | −0.432983 | + | 0.200319i | −0.0347780 | + | 0.0160900i | ||||
\(156\) | 1.25044 | + | 0.572860i | 0.100115 | + | 0.0458655i | ||||
\(157\) | 0.273618 | − | 2.51588i | 0.0218371 | − | 0.200789i | −0.978137 | − | 0.207961i | \(-0.933317\pi\) |
0.999974 | + | 0.00717175i | \(0.00228286\pi\) | |||||||
\(158\) | 2.91119 | + | 10.4852i | 0.231602 | + | 0.834155i | ||||
\(159\) | 4.04315 | − | 7.69545i | 0.320643 | − | 0.610289i | ||||
\(160\) | 0.259511 | − | 0.431310i | 0.0205161 | − | 0.0340981i | ||||
\(161\) | −0.319097 | + | 5.88541i | −0.0251484 | + | 0.463835i | ||||
\(162\) | −4.09626 | + | 10.7446i | −0.321833 | + | 0.844172i | ||||
\(163\) | −3.59350 | − | 2.73171i | −0.281465 | − | 0.213964i | 0.454911 | − | 0.890537i | \(-0.349671\pi\) |
−0.736375 | + | 0.676573i | \(0.763464\pi\) | |||||||
\(164\) | 0.876326 | − | 3.98119i | 0.0684295 | − | 0.310879i | ||||
\(165\) | −0.842351 | − | 0.182122i | −0.0655770 | − | 0.0141782i | ||||
\(166\) | 0.621426 | + | 11.4615i | 0.0482320 | + | 0.889587i | ||||
\(167\) | 20.6509 | + | 10.9484i | 1.59801 | + | 0.847213i | 0.998917 | + | 0.0465367i | \(0.0148185\pi\) |
0.599097 | + | 0.800676i | \(0.295526\pi\) | |||||||
\(168\) | 11.2939 | − | 9.66587i | 0.871340 | − | 0.745738i | ||||
\(169\) | 7.56311 | + | 3.49907i | 0.581778 | + | 0.269159i | ||||
\(170\) | 0.638458 | − | 0.384148i | 0.0489675 | − | 0.0294628i | ||||
\(171\) | −15.2002 | − | 1.53842i | −1.16239 | − | 0.117646i | ||||
\(172\) | −2.58411 | + | 2.19496i | −0.197036 | + | 0.167364i | ||||
\(173\) | −8.39413 | + | 7.95134i | −0.638194 | + | 0.604530i | −0.936808 | − | 0.349845i | \(-0.886234\pi\) |
0.298614 | + | 0.954374i | \(0.403476\pi\) | |||||||
\(174\) | 9.28417 | + | 13.5837i | 0.703831 | + | 1.02978i | ||||
\(175\) | 5.18760 | + | 13.0199i | 0.392146 | + | 0.984211i | ||||
\(176\) | 6.34596 | 0.478345 | ||||||||
\(177\) | −12.8541 | − | 3.43109i | −0.966173 | − | 0.257896i | ||||
\(178\) | −16.9626 | −1.27140 | ||||||||
\(179\) | 3.49466 | + | 8.77095i | 0.261203 | + | 0.655571i | 0.999828 | − | 0.0185458i | \(-0.00590365\pi\) |
−0.738625 | + | 0.674117i | \(0.764524\pi\) | |||||||
\(180\) | 0.240028 | + | 0.124969i | 0.0178906 | + | 0.00931463i | ||||
\(181\) | −7.31087 | + | 6.92523i | −0.543413 | + | 0.514748i | −0.909428 | − | 0.415861i | \(-0.863480\pi\) |
0.366015 | + | 0.930609i | \(0.380722\pi\) | |||||||
\(182\) | −5.96843 | + | 5.06963i | −0.442410 | + | 0.375786i | ||||
\(183\) | −0.684754 | + | 1.01810i | −0.0506185 | + | 0.0752598i | ||||
\(184\) | 5.38455 | − | 3.23977i | 0.396954 | − | 0.238839i | ||||
\(185\) | −1.38519 | − | 0.640858i | −0.101841 | − | 0.0471168i | ||||
\(186\) | 2.79750 | + | 3.26868i | 0.205123 | + | 0.239671i | ||||
\(187\) | −4.25758 | − | 2.25723i | −0.311345 | − | 0.165065i | ||||
\(188\) | 0.0479736 | + | 0.884822i | 0.00349884 | + | 0.0645323i | ||||
\(189\) | 10.2577 | + | 10.5889i | 0.746139 | + | 0.770233i | ||||
\(190\) | 0.343234 | − | 1.55933i | 0.0249008 | − | 0.113125i | ||||
\(191\) | −14.4586 | − | 10.9912i | −1.04619 | − | 0.795292i | −0.0669003 | − | 0.997760i | \(-0.521311\pi\) |
−0.979289 | + | 0.202467i | \(0.935104\pi\) | |||||||
\(192\) | −14.8356 | − | 4.05951i | −1.07067 | − | 0.292970i | ||||
\(193\) | 0.506574 | − | 9.34321i | 0.0364640 | − | 0.672539i | −0.921976 | − | 0.387246i | \(-0.873426\pi\) |
0.958440 | − | 0.285293i | \(-0.0920909\pi\) | |||||||
\(194\) | 6.04735 | − | 10.0508i | 0.434174 | − | 0.721604i | ||||
\(195\) | −0.812810 | − | 0.427046i | −0.0582065 | − | 0.0305814i | ||||
\(196\) | −0.103247 | − | 0.371862i | −0.00737479 | − | 0.0265616i | ||||
\(197\) | 2.81777 | − | 25.9090i | 0.200758 | − | 1.84594i | −0.268996 | − | 0.963141i | \(-0.586692\pi\) |
0.469754 | − | 0.882797i | \(-0.344343\pi\) | |||||||
\(198\) | 0.478676 | + | 7.75723i | 0.0340180 | + | 0.551283i | ||||
\(199\) | −22.4179 | + | 10.3716i | −1.58916 | + | 0.735225i | −0.997480 | − | 0.0709464i | \(-0.977398\pi\) |
−0.591682 | + | 0.806171i | \(0.701536\pi\) | |||||||
\(200\) | 8.38565 | − | 12.3679i | 0.592955 | − | 0.874544i | ||||
\(201\) | −2.41082 | − | 14.3693i | −0.170046 | − | 1.01353i | ||||
\(202\) | 0.909381 | − | 5.54698i | 0.0639838 | − | 0.390284i | ||||
\(203\) | 20.8169 | − | 3.41275i | 1.46106 | − | 0.239528i | ||||
\(204\) | 1.10242 | + | 1.03649i | 0.0771848 | + | 0.0725688i | ||||
\(205\) | −0.728021 | + | 2.62209i | −0.0508472 | + | 0.183135i | ||||
\(206\) | −18.2021 | − | 7.25237i | −1.26820 | − | 0.505296i | ||||
\(207\) | 3.53582 | + | 5.13207i | 0.245757 | + | 0.356703i | ||||
\(208\) | 6.51447 | + | 1.80873i | 0.451697 | + | 0.125413i | ||||
\(209\) | −9.78560 | + | 3.29715i | −0.676884 | + | 0.228069i | ||||
\(210\) | −1.22307 | + | 0.936979i | −0.0844001 | + | 0.0646577i | ||||
\(211\) | −5.23766 | − | 0.858671i | −0.360575 | − | 0.0591133i | −0.0212285 | − | 0.999775i | \(-0.506758\pi\) |
−0.339347 | + | 0.940661i | \(0.610206\pi\) | |||||||
\(212\) | −0.589081 | + | 1.74833i | −0.0404583 | + | 0.120076i | ||||
\(213\) | −5.67075 | − | 0.595327i | −0.388553 | − | 0.0407912i | ||||
\(214\) | 8.35519 | + | 18.0595i | 0.571149 | + | 1.23452i | ||||
\(215\) | 1.80183 | − | 1.36972i | 0.122884 | − | 0.0934139i | ||||
\(216\) | 3.20689 | − | 15.3876i | 0.218201 | − | 1.04699i | ||||
\(217\) | 5.31497 | − | 1.47569i | 0.360804 | − | 0.100177i | ||||
\(218\) | 0.757298 | − | 0.513461i | 0.0512907 | − | 0.0347759i | ||||
\(219\) | −0.169502 | + | 3.35804i | −0.0114539 | + | 0.226916i | ||||
\(220\) | 0.182635 | + | 0.00990220i | 0.0123133 | + | 0.000667606i | ||||
\(221\) | −3.72728 | − | 3.53067i | −0.250724 | − | 0.237498i | ||||
\(222\) | −2.17607 | + | 13.5909i | −0.146048 | + | 0.912163i | ||||
\(223\) | 22.1134 | + | 4.86753i | 1.48082 | + | 0.325954i | 0.880593 | − | 0.473873i | \(-0.157145\pi\) |
0.600230 | + | 0.799827i | \(0.295076\pi\) | |||||||
\(224\) | −3.76776 | + | 4.43575i | −0.251744 | + | 0.296376i | ||||
\(225\) | 12.7547 | + | 7.54519i | 0.850316 | + | 0.503013i | ||||
\(226\) | 10.4103 | − | 19.6358i | 0.692481 | − | 1.30616i | ||||
\(227\) | −1.92783 | + | 0.424347i | −0.127955 | + | 0.0281649i | −0.278486 | − | 0.960440i | \(-0.589833\pi\) |
0.150531 | + | 0.988605i | \(0.451902\pi\) | |||||||
\(228\) | 3.23700 | − | 0.187623i | 0.214375 | − | 0.0124256i | ||||
\(229\) | −7.64388 | − | 12.7042i | −0.505122 | − | 0.839519i | 0.494437 | − | 0.869213i | \(-0.335374\pi\) |
−0.999559 | + | 0.0296946i | \(0.990547\pi\) | |||||||
\(230\) | −0.575443 | + | 0.305080i | −0.0379436 | + | 0.0201164i | ||||
\(231\) | 9.27042 | + | 3.65364i | 0.609949 | + | 0.240392i | ||||
\(232\) | −15.4668 | − | 16.3281i | −1.01544 | − | 1.07199i | ||||
\(233\) | −28.1842 | + | 3.06522i | −1.84641 | + | 0.200809i | −0.963312 | − | 0.268382i | \(-0.913511\pi\) |
−0.883096 | + | 0.469191i | \(0.844545\pi\) | |||||||
\(234\) | −1.71959 | + | 8.09965i | −0.112413 | + | 0.529491i | ||||
\(235\) | − | 0.591535i | − | 0.0385875i | ||||||
\(236\) | 2.80885 | + | 0.287727i | 0.182840 | + | 0.0187294i | ||||
\(237\) | 13.0076 | − | 6.95850i | 0.844934 | − | 0.452003i | ||||
\(238\) | −8.00327 | + | 3.18879i | −0.518775 | + | 0.206699i | ||||
\(239\) | −2.76425 | − | 25.4169i | −0.178805 | − | 1.64408i | −0.648473 | − | 0.761238i | \(-0.724592\pi\) |
0.469669 | − | 0.882843i | \(-0.344373\pi\) | |||||||
\(240\) | 1.26215 | + | 0.420028i | 0.0814712 | + | 0.0271127i | ||||
\(241\) | 3.15337 | + | 3.71244i | 0.203127 | + | 0.239139i | 0.854288 | − | 0.519800i | \(-0.173994\pi\) |
−0.651161 | + | 0.758939i | \(0.725718\pi\) | |||||||
\(242\) | −4.12256 | − | 7.77598i | −0.265008 | − | 0.499859i | ||||
\(243\) | 15.4275 | + | 2.23448i | 0.989673 | + | 0.143342i | ||||
\(244\) | 0.109338 | − | 0.236330i | 0.00699963 | − | 0.0151294i | ||||
\(245\) | 0.0553826 | + | 0.251606i | 0.00353827 | + | 0.0160745i | ||||
\(246\) | 24.5408 | − | 0.0915814i | 1.56467 | − | 0.00583902i | ||||
\(247\) | −10.9852 | + | 0.595600i | −0.698972 | + | 0.0378971i | ||||
\(248\) | −4.48229 | − | 3.80730i | −0.284626 | − | 0.241764i | ||||
\(249\) | 14.9778 | − | 4.21882i | 0.949178 | − | 0.267357i | ||||
\(250\) | −1.88594 | + | 2.48091i | −0.119277 | + | 0.156907i | ||||
\(251\) | −3.87253 | + | 4.08819i | −0.244432 | + | 0.258044i | −0.836655 | − | 0.547730i | \(-0.815492\pi\) |
0.592223 | + | 0.805774i | \(0.298251\pi\) | |||||||
\(252\) | −2.50492 | − | 1.87486i | −0.157795 | − | 0.118105i | ||||
\(253\) | 3.60931 | + | 2.17165i | 0.226916 | + | 0.136531i | ||||
\(254\) | −12.8172 | − | 18.9040i | −0.804223 | − | 1.18614i | ||||
\(255\) | −0.697387 | − | 0.730741i | −0.0436721 | − | 0.0457608i | ||||
\(256\) | 8.45612 | + | 0.919658i | 0.528507 | + | 0.0574786i | ||||
\(257\) | −0.573533 | − | 0.754470i | −0.0357760 | − | 0.0470625i | 0.777857 | − | 0.628441i | \(-0.216307\pi\) |
−0.813633 | + | 0.581379i | \(0.802514\pi\) | |||||||
\(258\) | −16.2952 | − | 12.2916i | −1.01450 | − | 0.765243i | ||||
\(259\) | 14.6061 | + | 9.90315i | 0.907576 | + | 0.615352i | ||||
\(260\) | 0.184663 | + | 0.0622201i | 0.0114523 | + | 0.00385873i | ||||
\(261\) | 15.2178 | − | 16.3073i | 0.941959 | − | 1.00940i | ||||
\(262\) | −1.87268 | − | 11.4228i | −0.115694 | − | 0.705705i | ||||
\(263\) | −0.0864905 | − | 0.256695i | −0.00533323 | − | 0.0158285i | 0.944954 | − | 0.327205i | \(-0.106107\pi\) |
−0.950287 | + | 0.311376i | \(0.899210\pi\) | |||||||
\(264\) | −2.32250 | − | 10.3668i | −0.142940 | − | 0.638033i | ||||
\(265\) | 0.455854 | − | 1.14411i | 0.0280029 | − | 0.0702819i | ||||
\(266\) | −6.83303 | + | 17.1496i | −0.418960 | + | 1.05151i | ||||
\(267\) | 5.02708 | + | 22.4391i | 0.307652 | + | 1.37325i | ||||
\(268\) | 0.987351 | + | 2.93035i | 0.0603121 | + | 0.179000i | ||||
\(269\) | 0.721650 | + | 4.40187i | 0.0439998 | + | 0.268387i | 0.999660 | − | 0.0260859i | \(-0.00830434\pi\) |
−0.955660 | + | 0.294473i | \(0.904856\pi\) | |||||||
\(270\) | −0.418234 | + | 1.57452i | −0.0254529 | + | 0.0958220i | ||||
\(271\) | 10.1621 | + | 3.42401i | 0.617303 | + | 0.207994i | 0.610542 | − | 0.791984i | \(-0.290952\pi\) |
0.00676048 | + | 0.999977i | \(0.497848\pi\) | |||||||
\(272\) | 6.15633 | + | 4.17409i | 0.373282 | + | 0.253092i | ||||
\(273\) | 8.47521 | + | 6.39293i | 0.512943 | + | 0.386918i | ||||
\(274\) | −6.46871 | − | 8.50945i | −0.390789 | − | 0.514075i | ||||
\(275\) | 9.95753 | + | 1.08295i | 0.600461 | + | 0.0653041i | ||||
\(276\) | −0.913171 | − | 0.956846i | −0.0549664 | − | 0.0575953i | ||||
\(277\) | −11.5521 | − | 17.0380i | −0.694096 | − | 1.02372i | −0.997487 | − | 0.0708492i | \(-0.977429\pi\) |
0.303391 | − | 0.952866i | \(-0.401881\pi\) | |||||||
\(278\) | −10.4813 | − | 6.30639i | −0.628627 | − | 0.378232i | ||||
\(279\) | 3.49491 | − | 4.66941i | 0.209235 | − | 0.279550i | ||||
\(280\) | 1.44834 | − | 1.52900i | 0.0865550 | − | 0.0913750i | ||||
\(281\) | −9.87454 | + | 12.9897i | −0.589066 | + | 0.774903i | −0.989979 | − | 0.141213i | \(-0.954900\pi\) |
0.400914 | + | 0.916116i | \(0.368693\pi\) | |||||||
\(282\) | −5.13476 | + | 1.44632i | −0.305770 | + | 0.0861270i | ||||
\(283\) | −0.504107 | − | 0.428193i | −0.0299661 | − | 0.0254534i | 0.632278 | − | 0.774741i | \(-0.282120\pi\) |
−0.662244 | + | 0.749288i | \(0.730396\pi\) | |||||||
\(284\) | 1.20835 | − | 0.0655146i | 0.0717022 | − | 0.00388758i | ||||
\(285\) | −2.16449 | + | 0.00807742i | −0.128213 | + | 0.000478465i | ||||
\(286\) | 1.20308 | + | 5.46564i | 0.0711395 | + | 0.323190i | ||||
\(287\) | 13.2113 | − | 28.5559i | 0.779841 | − | 1.68560i | ||||
\(288\) | −0.287291 | + | 6.14714i | −0.0169288 | + | 0.362223i | ||||
\(289\) | 5.31729 | + | 10.0295i | 0.312782 | + | 0.589969i | ||||
\(290\) | 1.50909 | + | 1.77663i | 0.0886165 | + | 0.104327i | ||||
\(291\) | −15.0879 | − | 5.02110i | −0.884471 | − | 0.294342i | ||||
\(292\) | −0.0771524 | − | 0.709404i | −0.00451500 | − | 0.0415148i | ||||
\(293\) | −5.08476 | + | 2.02595i | −0.297055 | + | 0.118357i | −0.513904 | − | 0.857848i | \(-0.671801\pi\) |
0.216849 | + | 0.976205i | \(0.430422\pi\) | |||||||
\(294\) | 2.04863 | − | 1.09593i | 0.119478 | − | 0.0639157i | ||||
\(295\) | −1.86191 | − | 0.293306i | −0.108405 | − | 0.0170769i | ||||
\(296\) | − | 18.8145i | − | 1.09357i | ||||||
\(297\) | 10.1198 | − | 2.93217i | 0.587213 | − | 0.170142i | ||||
\(298\) | 22.8084 | − | 2.48057i | 1.32126 | − | 0.143695i | ||||
\(299\) | 3.08619 | + | 3.25805i | 0.178479 | + | 0.188418i | ||||
\(300\) | −2.92607 | − | 1.15322i | −0.168937 | − | 0.0665811i | ||||
\(301\) | −23.1207 | + | 12.2578i | −1.33266 | + | 0.706529i | ||||
\(302\) | 8.93788 | + | 14.8549i | 0.514317 | + | 0.854802i | ||||
\(303\) | −7.60736 | + | 0.440937i | −0.437031 | + | 0.0253312i | ||||
\(304\) | 15.5657 | − | 3.42626i | 0.892752 | − | 0.196510i | ||||
\(305\) | −0.0814230 | + | 0.153580i | −0.00466227 | + | 0.00879397i | ||||
\(306\) | −4.63799 | + | 7.84028i | −0.265136 | + | 0.448199i | ||||
\(307\) | −20.6078 | + | 24.2613i | −1.17615 | + | 1.38467i | −0.269382 | + | 0.963033i | \(0.586819\pi\) |
−0.906766 | + | 0.421635i | \(0.861456\pi\) | |||||||
\(308\) | −2.06532 | − | 0.454610i | −0.117682 | − | 0.0259038i | ||||
\(309\) | −4.19942 | + | 26.2280i | −0.238897 | + | 1.49206i | ||||
\(310\) | 0.442523 | + | 0.419180i | 0.0251336 | + | 0.0238078i | ||||
\(311\) | −11.5804 | − | 0.627870i | −0.656663 | − | 0.0356032i | −0.277203 | − | 0.960811i | \(-0.589407\pi\) |
−0.379460 | + | 0.925208i | \(0.623890\pi\) | |||||||
\(312\) | 0.570587 | − | 11.3040i | 0.0323032 | − | 0.639965i | ||||
\(313\) | −27.0781 | + | 18.3594i | −1.53055 | + | 1.03774i | −0.551482 | + | 0.834187i | \(0.685938\pi\) |
−0.979065 | + | 0.203550i | \(0.934752\pi\) | |||||||
\(314\) | −3.11553 | + | 0.865022i | −0.175819 | + | 0.0488160i | ||||
\(315\) | 1.60196 | + | 1.34026i | 0.0902603 | + | 0.0755154i | ||||
\(316\) | −2.49241 | + | 1.89468i | −0.140209 | + | 0.106584i | ||||
\(317\) | −1.46383 | − | 3.16402i | −0.0822169 | − | 0.177709i | 0.862107 | − | 0.506726i | \(-0.169145\pi\) |
−0.944324 | + | 0.329017i | \(0.893282\pi\) | |||||||
\(318\) | −11.0459 | − | 1.15962i | −0.619422 | − | 0.0650282i | ||||
\(319\) | 4.81369 | − | 14.2865i | 0.269515 | − | 0.799891i | ||||
\(320\) | −2.15040 | − | 0.352541i | −0.120211 | − | 0.0197076i | ||||
\(321\) | 21.4139 | − | 16.4049i | 1.19521 | − | 0.915630i | ||||
\(322\) | 7.13637 | − | 2.40452i | 0.397694 | − | 0.133999i | ||||
\(323\) | −11.6619 | − | 3.23791i | −0.648885 | − | 0.180162i | ||||
\(324\) | −3.30798 | + | 0.0493823i | −0.183777 | + | 0.00274346i | ||||
\(325\) | 9.91327 | + | 3.94981i | 0.549889 | + | 0.219096i | ||||
\(326\) | −1.54290 | + | 5.55702i | −0.0854533 | + | 0.307775i | ||||
\(327\) | −0.903669 | − | 0.849625i | −0.0499730 | − | 0.0469844i | ||||
\(328\) | −33.1040 | + | 5.42712i | −1.82786 | + | 0.299663i | ||||
\(329\) | −1.10649 | + | 6.74931i | −0.0610030 | + | 0.372102i | ||||
\(330\) | 0.182192 | + | 1.08592i | 0.0100294 | + | 0.0597782i | ||||
\(331\) | 2.21423 | − | 3.26574i | 0.121705 | − | 0.179501i | −0.761956 | − | 0.647629i | \(-0.775761\pi\) |
0.883661 | + | 0.468127i | \(0.155071\pi\) | |||||||
\(332\) | −2.99721 | + | 1.38666i | −0.164493 | + | 0.0761027i | ||||
\(333\) | 18.6237 | − | 1.14922i | 1.02057 | − | 0.0629767i | ||||
\(334\) | 3.22881 | − | 29.6884i | 0.176673 | − | 1.62448i | ||||
\(335\) | −0.552240 | − | 1.98899i | −0.0301721 | − | 0.108670i | ||||
\(336\) | −13.6152 | − | 7.15336i | −0.742770 | − | 0.390248i | ||||
\(337\) | 7.66178 | − | 12.7340i | 0.417364 | − | 0.693664i | −0.574843 | − | 0.818263i | \(-0.694937\pi\) |
0.992207 | + | 0.124599i | \(0.0397646\pi\) | |||||||
\(338\) | 0.576423 | − | 10.6315i | 0.0313533 | − | 0.578277i | ||||
\(339\) | −29.0606 | − | 7.95195i | −1.57836 | − | 0.431891i | ||||
\(340\) | 0.170664 | + | 0.129736i | 0.00925558 | + | 0.00703591i | ||||
\(341\) | 0.847437 | − | 3.84994i | 0.0458913 | − | 0.208486i | ||||
\(342\) | 5.36234 | + | 18.7688i | 0.289962 | + | 1.01490i | ||||
\(343\) | 0.913966 | + | 16.8571i | 0.0493495 | + | 0.910198i | ||||
\(344\) | 24.6506 | + | 13.0689i | 1.32907 | + | 0.704630i | ||||
\(345\) | 0.574117 | + | 0.670813i | 0.0309094 | + | 0.0361154i | ||||
\(346\) | 13.4072 | + | 6.20284i | 0.720776 | + | 0.333467i | ||||
\(347\) | 21.8820 | − | 13.1660i | 1.17469 | − | 0.706787i | 0.211967 | − | 0.977277i | \(-0.432013\pi\) |
0.962723 | + | 0.270490i | \(0.0871856\pi\) | |||||||
\(348\) | −2.64191 | + | 3.92800i | −0.141621 | + | 0.210563i | ||||
\(349\) | 14.9695 | − | 12.7152i | 0.801300 | − | 0.680631i | −0.150072 | − | 0.988675i | \(-0.547950\pi\) |
0.951372 | + | 0.308045i | \(0.0996746\pi\) | |||||||
\(350\) | 13.0002 | − | 12.3145i | 0.694891 | − | 0.658235i | ||||
\(351\) | 11.2243 | − | 0.125665i | 0.599108 | − | 0.00670750i | ||||
\(352\) | 1.53952 | + | 3.86391i | 0.0820568 | + | 0.205947i | ||||
\(353\) | −34.7259 | −1.84827 | −0.924137 | − | 0.382061i | \(-0.875214\pi\) | ||||
−0.924137 | + | 0.382061i | \(0.875214\pi\) | |||||||
\(354\) | 2.00642 | + | 16.8793i | 0.106640 | + | 0.897124i | ||||
\(355\) | −0.807823 | −0.0428748 | ||||||||
\(356\) | −1.80639 | − | 4.53369i | −0.0957384 | − | 0.240285i | ||||
\(357\) | 6.59018 | + | 9.64213i | 0.348790 | + | 0.510316i | ||||
\(358\) | 8.75769 | − | 8.29572i | 0.462858 | − | 0.438443i | ||||
\(359\) | −13.2168 | + | 11.2265i | −0.697557 | + | 0.592510i | −0.924401 | − | 0.381421i | \(-0.875435\pi\) |
0.226845 | + | 0.973931i | \(0.427159\pi\) | |||||||
\(360\) | 0.224240 | − | 2.21557i | 0.0118185 | − | 0.116771i | ||||
\(361\) | −5.94209 | + | 3.57524i | −0.312742 | + | 0.188170i | ||||
\(362\) | 11.6770 | + | 5.40237i | 0.613731 | + | 0.283942i | ||||
\(363\) | −9.06473 | + | 7.75807i | −0.475775 | + | 0.407193i | ||||
\(364\) | −1.99058 | − | 1.05534i | −0.104335 | − | 0.0553149i | ||||
\(365\) | 0.0257896 | + | 0.475660i | 0.00134989 | + | 0.0248972i | ||||
\(366\) | 1.53222 | + | 0.331276i | 0.0800903 | + | 0.0173161i | ||||
\(367\) | 6.59274 | − | 29.9511i | 0.344138 | − | 1.56344i | −0.413340 | − | 0.910577i | \(-0.635638\pi\) |
0.757479 | − | 0.652860i | \(-0.226431\pi\) | |||||||
\(368\) | −5.17587 | − | 3.93460i | −0.269811 | − | 0.205105i | ||||
\(369\) | −7.39414 | − | 32.4369i | −0.384923 | − | 1.68860i | ||||
\(370\) | −0.105572 | + | 1.94717i | −0.00548845 | + | 0.101229i | ||||
\(371\) | −7.34132 | + | 12.2014i | −0.381142 | + | 0.633463i | ||||
\(372\) | −0.575725 | + | 1.09579i | −0.0298500 | + | 0.0568143i | ||||
\(373\) | 8.29670 | + | 29.8820i | 0.429587 | + | 1.54723i | 0.789204 | + | 0.614131i | \(0.210493\pi\) |
−0.359617 | + | 0.933100i | \(0.617093\pi\) | |||||||
\(374\) | −0.665682 | + | 6.12085i | −0.0344216 | + | 0.316501i | ||||
\(375\) | 3.84081 | + | 1.75958i | 0.198339 | + | 0.0908641i | ||||
\(376\) | 6.61802 | − | 3.06182i | 0.341298 | − | 0.157901i | ||||
\(377\) | 9.01347 | − | 13.2939i | 0.464217 | − | 0.684669i | ||||
\(378\) | 7.71719 | − | 17.1826i | 0.396929 | − | 0.883779i | ||||
\(379\) | −0.369674 | + | 2.25491i | −0.0189889 | + | 0.115827i | −0.994620 | − | 0.103590i | \(-0.966967\pi\) |
0.975631 | + | 0.219417i | \(0.0704154\pi\) | |||||||
\(380\) | 0.453322 | − | 0.0743184i | 0.0232549 | − | 0.00381245i | ||||
\(381\) | −21.2087 | + | 22.5577i | −1.08655 | + | 1.15567i | ||||
\(382\) | −6.20793 | + | 22.3590i | −0.317625 | + | 1.14398i | ||||
\(383\) | 18.8793 | + | 7.52221i | 0.964689 | + | 0.384367i | 0.798679 | − | 0.601757i | \(-0.205532\pi\) |
0.166010 | + | 0.986124i | \(0.446912\pi\) | |||||||
\(384\) | 1.40297 | + | 12.4670i | 0.0715948 | + | 0.636206i | ||||
\(385\) | 1.36026 | + | 0.377674i | 0.0693253 | + | 0.0192481i | ||||
\(386\) | −11.3291 | + | 3.81723i | −0.576638 | + | 0.194292i | ||||
\(387\) | −11.4307 | + | 25.1990i | −0.581057 | + | 1.28094i | ||||
\(388\) | 3.33033 | + | 0.545979i | 0.169072 | + | 0.0277179i | ||||
\(389\) | 4.78464 | − | 14.2003i | 0.242591 | − | 0.719984i | −0.755319 | − | 0.655358i | \(-0.772518\pi\) |
0.997910 | − | 0.0646263i | \(-0.0205855\pi\) | |||||||
\(390\) | −0.122482 | + | 1.16669i | −0.00620209 | + | 0.0590776i | ||||
\(391\) | 2.07304 | + | 4.48080i | 0.104838 | + | 0.226604i | ||||
\(392\) | −2.52827 | + | 1.92194i | −0.127697 | + | 0.0970728i | ||||
\(393\) | −14.5558 | + | 5.86258i | −0.734241 | + | 0.295728i | ||||
\(394\) | −32.0843 | + | 8.90815i | −1.61638 | + | 0.448786i | ||||
\(395\) | 1.72986 | − | 1.17287i | 0.0870386 | − | 0.0590136i | ||||
\(396\) | −2.02235 | + | 0.954026i | −0.101627 | + | 0.0479416i | ||||
\(397\) | 11.7691 | + | 0.638102i | 0.590674 | + | 0.0320254i | 0.347054 | − | 0.937845i | \(-0.387182\pi\) |
0.243620 | + | 0.969871i | \(0.421665\pi\) | |||||||
\(398\) | 22.9118 | + | 21.7033i | 1.14847 | + | 1.08789i | ||||
\(399\) | 24.7115 | + | 3.95661i | 1.23712 | + | 0.198078i | ||||
\(400\) | −15.0985 | − | 3.32344i | −0.754926 | − | 0.166172i | ||||
\(401\) | −15.6848 | + | 18.4656i | −0.783263 | + | 0.922129i | −0.998518 | − | 0.0544291i | \(-0.982666\pi\) |
0.215254 | + | 0.976558i | \(0.430942\pi\) | |||||||
\(402\) | −15.9150 | + | 9.65678i | −0.793766 | + | 0.481637i | ||||
\(403\) | 1.96726 | − | 3.71064i | 0.0979960 | − | 0.184840i | ||||
\(404\) | 1.57942 | − | 0.347656i | 0.0785788 | − | 0.0172965i | ||||
\(405\) | 2.20681 | + | 0.0866358i | 0.109657 | + | 0.00430497i | ||||
\(406\) | −13.8951 | − | 23.0939i | −0.689604 | − | 1.14613i | ||||
\(407\) | 11.1424 | − | 5.90735i | 0.552310 | − | 0.292816i | ||||
\(408\) | 4.56573 | − | 11.5847i | 0.226037 | − | 0.573526i | ||||
\(409\) | −2.69774 | − | 2.84797i | −0.133395 | − | 0.140823i | 0.655876 | − | 0.754869i | \(-0.272300\pi\) |
−0.789270 | + | 0.614046i | \(0.789541\pi\) | |||||||
\(410\) | 3.45649 | − | 0.375915i | 0.170704 | − | 0.0185651i | ||||
\(411\) | −9.33969 | + | 11.0791i | −0.460693 | + | 0.546490i | ||||
\(412\) | − | 5.63730i | − | 0.277730i | ||||||
\(413\) | 20.6955 | + | 6.82936i | 1.01836 | + | 0.336051i | ||||
\(414\) | 4.41919 | − | 6.62372i | 0.217191 | − | 0.325538i | ||||
\(415\) | 2.04799 | − | 0.815992i | 0.100532 | − | 0.0400555i | ||||
\(416\) | 0.479106 | + | 4.40531i | 0.0234901 | + | 0.215988i | ||||
\(417\) | −5.23618 | + | 15.7342i | −0.256417 | + | 0.770509i | ||||
\(418\) | 8.54113 | + | 10.0554i | 0.417760 | + | 0.491826i | ||||
\(419\) | −0.922585 | − | 1.74018i | −0.0450712 | − | 0.0850134i | 0.859953 | − | 0.510373i | \(-0.170493\pi\) |
−0.905025 | + | 0.425359i | \(0.860148\pi\) | |||||||
\(420\) | −0.380680 | − | 0.227117i | −0.0185753 | − | 0.0110822i | ||||
\(421\) | 3.94897 | − | 8.53555i | 0.192461 | − | 0.415997i | −0.787189 | − | 0.616712i | \(-0.788464\pi\) |
0.979650 | + | 0.200715i | \(0.0643264\pi\) | |||||||
\(422\) | 1.45777 | + | 6.62272i | 0.0709632 | + | 0.322389i | ||||
\(423\) | 3.43502 | + | 6.36391i | 0.167016 | + | 0.309424i | ||||
\(424\) | 15.1597 | − | 0.821933i | 0.736218 | − | 0.0399166i | ||||
\(425\) | 8.94765 | + | 7.60021i | 0.434025 | + | 0.368664i | ||||
\(426\) | 1.97515 | + | 7.01222i | 0.0956962 | + | 0.339743i | ||||
\(427\) | 1.21630 | − | 1.60002i | 0.0588610 | − | 0.0774303i | ||||
\(428\) | −3.93709 | + | 4.15634i | −0.190307 | + | 0.200904i | ||||
\(429\) | 6.87371 | − | 3.21131i | 0.331866 | − | 0.155044i | ||||
\(430\) | −2.47784 | − | 1.49087i | −0.119492 | − | 0.0718959i | ||||
\(431\) | 10.8483 | + | 16.0001i | 0.522546 | + | 0.770698i | 0.993786 | − | 0.111307i | \(-0.0355037\pi\) |
−0.471240 | + | 0.882005i | \(0.656193\pi\) | |||||||
\(432\) | −16.0176 | + | 2.81045i | −0.770649 | + | 0.135218i | ||||
\(433\) | −11.8254 | − | 1.28609i | −0.568292 | − | 0.0618054i | −0.180537 | − | 0.983568i | \(-0.557784\pi\) |
−0.387754 | + | 0.921763i | \(0.626749\pi\) | |||||||
\(434\) | −4.26502 | − | 5.61053i | −0.204727 | − | 0.269314i | ||||
\(435\) | 1.90299 | − | 2.52283i | 0.0912415 | − | 0.120960i | ||||
\(436\) | 0.217882 | + | 0.147728i | 0.0104347 | + | 0.00707488i | ||||
\(437\) | 10.0256 | + | 3.37801i | 0.479589 | + | 0.161592i | ||||
\(438\) | 4.06586 | − | 1.38687i | 0.194274 | − | 0.0662670i | ||||
\(439\) | 0.0770957 | + | 0.470263i | 0.00367958 | + | 0.0224444i | 0.988602 | − | 0.150549i | \(-0.0481042\pi\) |
−0.984923 | + | 0.172994i | \(0.944656\pi\) | |||||||
\(440\) | −0.480591 | − | 1.42634i | −0.0229113 | − | 0.0679982i | ||||
\(441\) | −2.05689 | − | 2.38525i | −0.0979471 | − | 0.113583i | ||||
\(442\) | −2.42793 | + | 6.09364i | −0.115485 | + | 0.289845i | ||||
\(443\) | −4.16064 | + | 10.4424i | −0.197678 | + | 0.496135i | −0.994082 | − | 0.108630i | \(-0.965354\pi\) |
0.796404 | + | 0.604765i | \(0.206733\pi\) | |||||||
\(444\) | −3.86426 | + | 0.865720i | −0.183390 | + | 0.0410853i | ||||
\(445\) | 1.04025 | + | 3.08734i | 0.0493124 | + | 0.146354i | ||||
\(446\) | −4.68030 | − | 28.5486i | −0.221619 | − | 1.35181i | ||||
\(447\) | −10.0410 | − | 29.4371i | −0.474923 | − | 1.39233i | ||||
\(448\) | 23.8763 | + | 8.04486i | 1.12805 | + | 0.380084i | ||||
\(449\) | 12.1350 | + | 8.22776i | 0.572688 | + | 0.388292i | 0.812878 | − | 0.582434i | \(-0.197899\pi\) |
−0.240190 | + | 0.970726i | \(0.577210\pi\) | |||||||
\(450\) | 2.92365 | − | 18.7070i | 0.137822 | − | 0.881854i | ||||
\(451\) | −13.6080 | − | 17.9011i | −0.640777 | − | 0.842928i | ||||
\(452\) | 6.35680 | + | 0.691344i | 0.298999 | + | 0.0325181i | ||||
\(453\) | 17.0020 | − | 16.2260i | 0.798824 | − | 0.762362i | ||||
\(454\) | 1.41535 | + | 2.08749i | 0.0664258 | + | 0.0979707i | ||||
\(455\) | 1.28874 | + | 0.775406i | 0.0604168 | + | 0.0363516i | ||||
\(456\) | −11.2939 | − | 24.1742i | −0.528885 | − | 1.13206i | ||||
\(457\) | 21.0721 | − | 22.2455i | 0.985711 | − | 1.04060i | −0.0134603 | − | 0.999909i | \(-0.504285\pi\) |
0.999172 | − | 0.0406935i | \(-0.0129567\pi\) | |||||||
\(458\) | −11.4639 | + | 15.0806i | −0.535675 | + | 0.704668i | ||||
\(459\) | 11.7461 | + | 3.81183i | 0.548260 | + | 0.177921i | ||||
\(460\) | −0.142821 | − | 0.121313i | −0.00665906 | − | 0.00565626i | ||||
\(461\) | −2.75506 | + | 0.149375i | −0.128316 | + | 0.00695709i | −0.118185 | − | 0.992992i | \(-0.537708\pi\) |
−0.0101309 | + | 0.999949i | \(0.503225\pi\) | |||||||
\(462\) | −0.0475096 | − | 12.7310i | −0.00221034 | − | 0.592301i | ||||
\(463\) | 0.722989 | + | 3.28457i | 0.0336002 | + | 0.152647i | 0.990434 | − | 0.137989i | \(-0.0440640\pi\) |
−0.956834 | + | 0.290636i | \(0.906133\pi\) | |||||||
\(464\) | −9.77047 | + | 21.1185i | −0.453582 | + | 0.980402i | ||||
\(465\) | 0.423368 | − | 0.709624i | 0.0196332 | − | 0.0329080i | ||||
\(466\) | 16.9667 | + | 32.0026i | 0.785968 | + | 1.48249i | ||||
\(467\) | 8.87181 | + | 10.4447i | 0.410538 | + | 0.483323i | 0.928104 | − | 0.372320i | \(-0.121438\pi\) |
−0.517566 | + | 0.855643i | \(0.673162\pi\) | |||||||
\(468\) | −2.34796 | + | 0.402947i | −0.108535 | + | 0.0186262i | ||||
\(469\) | 2.58047 | + | 23.7270i | 0.119155 | + | 1.09561i | ||||
\(470\) | −0.702101 | + | 0.279742i | −0.0323855 | + | 0.0129036i | ||||
\(471\) | 2.06763 | + | 3.86503i | 0.0952711 | + | 0.178091i | ||||
\(472\) | −6.35591 | − | 22.3490i | −0.292555 | − | 1.02870i | ||||
\(473\) | 18.7021i | 0.859925i | ||||||||
\(474\) | −14.4105 | − | 12.1481i | −0.661898 | − | 0.557983i | ||||
\(475\) | 25.0090 | − | 2.71989i | 1.14749 | − | 0.124797i | ||||
\(476\) | −1.70458 | − | 1.79950i | −0.0781291 | − | 0.0824799i | ||||
\(477\) | 1.73957 | + | 14.9558i | 0.0796496 | + | 0.684777i | ||||
\(478\) | −28.8604 | + | 15.3008i | −1.32004 | + | 0.699842i | ||||
\(479\) | −8.75623 | − | 14.5530i | −0.400083 | − | 0.664942i | 0.589685 | − | 0.807634i | \(-0.299252\pi\) |
−0.989767 | + | 0.142691i | \(0.954424\pi\) | |||||||
\(480\) | 0.0504495 | + | 0.870390i | 0.00230269 | + | 0.0397277i | ||||
\(481\) | 13.1220 | − | 2.88838i | 0.598313 | − | 0.131699i | ||||
\(482\) | 2.91508 | − | 5.49842i | 0.132778 | − | 0.250446i | ||||
\(483\) | −5.29579 | − | 8.72778i | −0.240967 | − | 0.397128i | ||||
\(484\) | 1.63931 | − | 1.92994i | 0.0745141 | − | 0.0877248i | ||||
\(485\) | −2.20019 | − | 0.484297i | −0.0999053 | − | 0.0219908i | ||||
\(486\) | −4.64367 | − | 19.3678i | −0.210641 | − | 0.878540i | ||||
\(487\) | −21.3848 | − | 20.2567i | −0.969037 | − | 0.917920i | 0.0276206 | − | 0.999618i | \(-0.491207\pi\) |
−0.996657 | + | 0.0816983i | \(0.973966\pi\) | |||||||
\(488\) | −2.13969 | − | 0.116010i | −0.0968591 | − | 0.00525155i | ||||
\(489\) | 7.80840 | + | 0.394140i | 0.353108 | + | 0.0178236i | ||||
\(490\) | 0.272443 | − | 0.184721i | 0.0123077 | − | 0.00834485i | ||||
\(491\) | 6.15713 | − | 1.70952i | 0.277868 | − | 0.0771496i | −0.125799 | − | 0.992056i | \(-0.540149\pi\) |
0.403666 | + | 0.914906i | \(0.367736\pi\) | |||||||
\(492\) | 2.63789 | + | 6.54942i | 0.118925 | + | 0.295271i | ||||
\(493\) | 14.0669 | − | 10.6934i | 0.633540 | − | 0.481605i | ||||
\(494\) | 5.90193 | + | 12.7568i | 0.265540 | + | 0.573956i | ||||
\(495\) | 1.38253 | − | 0.562842i | 0.0621400 | − | 0.0252979i | ||||
\(496\) | −1.94282 | + | 5.76610i | −0.0872354 | + | 0.258905i | ||||
\(497\) | 9.21712 | + | 1.51107i | 0.413444 | + | 0.0677808i | ||||
\(498\) | −12.0905 | − | 15.7822i | −0.541789 | − | 0.707217i | ||||
\(499\) | −10.6239 | + | 3.57959i | −0.475589 | + | 0.160245i | −0.546880 | − | 0.837211i | \(-0.684185\pi\) |
0.0712910 | + | 0.997456i | \(0.477288\pi\) | |||||||
\(500\) | −0.863926 | − | 0.239868i | −0.0386359 | − | 0.0107272i | ||||
\(501\) | −40.2304 | + | 4.52729i | −1.79736 | + | 0.202264i | ||||
\(502\) | 6.68368 | + | 2.66302i | 0.298307 | + | 0.118856i | ||||
\(503\) | −0.916759 | + | 3.30187i | −0.0408763 | + | 0.147223i | −0.981172 | − | 0.193135i | \(-0.938134\pi\) |
0.940296 | + | 0.340358i | \(0.110548\pi\) | |||||||
\(504\) | −6.70287 | + | 24.8598i | −0.298569 | + | 1.10735i | ||||
\(505\) | −1.06537 | + | 0.174658i | −0.0474081 | + | 0.00777217i | ||||
\(506\) | 0.870684 | − | 5.31093i | 0.0387066 | − | 0.236100i | ||||
\(507\) | −14.2348 | + | 2.38825i | −0.632188 | + | 0.106066i | ||||
\(508\) | 3.68764 | − | 5.43886i | 0.163612 | − | 0.241310i | ||||
\(509\) | −17.3567 | + | 8.03009i | −0.769324 | + | 0.355927i | −0.764972 | − | 0.644063i | \(-0.777247\pi\) |
−0.00435195 | + | 0.999991i | \(0.501385\pi\) | |||||||
\(510\) | −0.537526 | + | 1.17331i | −0.0238020 | + | 0.0519551i | ||||
\(511\) | 0.595491 | − | 5.47545i | 0.0263430 | − | 0.242219i | ||||
\(512\) | −6.78299 | − | 24.4301i | −0.299769 | − | 1.07967i | ||||
\(513\) | 23.2393 | − | 12.6560i | 1.02604 | − | 0.558776i | ||||
\(514\) | −0.624261 | + | 1.03753i | −0.0275350 | + | 0.0457635i | ||||
\(515\) | −0.203736 | + | 3.75769i | −0.00897768 | + | 0.165584i | ||||
\(516\) | 1.54994 | − | 5.66428i | 0.0682321 | − | 0.249356i | ||||
\(517\) | 3.89121 | + | 2.95802i | 0.171135 | + | 0.130094i | ||||
\(518\) | 4.84684 | − | 22.0194i | 0.212958 | − | 0.967477i | ||||
\(519\) | 4.23206 | − | 19.5741i | 0.185767 | − | 0.859208i | ||||
\(520\) | −0.0868143 | − | 1.60120i | −0.00380706 | − | 0.0702171i | ||||
\(521\) | −9.24244 | − | 4.90003i | −0.404919 | − | 0.214674i | 0.253485 | − | 0.967339i | \(-0.418423\pi\) |
−0.658404 | + | 0.752665i | \(0.728768\pi\) | |||||||
\(522\) | −26.5520 | − | 10.3503i | −1.16215 | − | 0.453022i | ||||
\(523\) | −3.35696 | − | 1.55309i | −0.146789 | − | 0.0679120i | 0.345119 | − | 0.938559i | \(-0.387839\pi\) |
−0.491909 | + | 0.870647i | \(0.663701\pi\) | |||||||
\(524\) | 2.85362 | − | 1.71697i | 0.124661 | − | 0.0750060i | ||||
\(525\) | −20.1430 | − | 13.5479i | −0.879114 | − | 0.591277i | ||||
\(526\) | −0.263772 | + | 0.224050i | −0.0115010 | + | 0.00976904i | ||||
\(527\) | 3.35444 | − | 3.17749i | 0.146122 | − | 0.138414i | ||||
\(528\) | −9.07449 | + | 6.20221i | −0.394916 | + | 0.269917i | ||||
\(529\) | 6.91582 | + | 17.3574i | 0.300688 | + | 0.754669i | ||||
\(530\) | −1.57353 | −0.0683499 | ||||||||
\(531\) | 21.7342 | − | 7.65659i | 0.943185 | − | 0.332268i | ||||
\(532\) | −5.31135 | −0.230276 | ||||||||
\(533\) | −8.86719 | − | 22.2550i | −0.384081 | − | 0.963970i | ||||
\(534\) | 24.2559 | − | 16.5784i | 1.04965 | − | 0.717416i | ||||
\(535\) | 2.77459 | − | 2.62823i | 0.119956 | − | 0.113628i | ||||
\(536\) | 19.3941 | − | 16.4735i | 0.837699 | − | 0.711548i | ||||
\(537\) | −13.5695 | − | 9.12662i | −0.585567 | − | 0.393843i | ||||
\(538\) | 4.88336 | − | 2.93822i | 0.210537 | − | 0.126676i | ||||
\(539\) | −1.93205 | − | 0.893861i | −0.0832193 | − | 0.0385013i | ||||
\(540\) | −0.465369 | + | 0.0558902i | −0.0200263 | + | 0.00240513i | ||||
\(541\) | 1.60792 | + | 0.852464i | 0.0691298 | + | 0.0366503i | 0.502615 | − | 0.864511i | \(-0.332371\pi\) |
−0.433485 | + | 0.901161i | \(0.642716\pi\) | |||||||
\(542\) | −0.741749 | − | 13.6808i | −0.0318609 | − | 0.587639i | ||||
\(543\) | 3.68592 | − | 17.0481i | 0.158178 | − | 0.731603i | ||||
\(544\) | −1.04799 | + | 4.76108i | −0.0449323 | + | 0.204129i | ||||
\(545\) | −0.139896 | − | 0.106346i | −0.00599249 | − | 0.00455537i | ||||
\(546\) | 3.57984 | − | 13.0826i | 0.153203 | − | 0.559884i | ||||
\(547\) | 1.60443 | − | 29.5920i | 0.0686006 | − | 1.26526i | −0.738258 | − | 0.674518i | \(-0.764351\pi\) |
0.806859 | − | 0.590745i | \(-0.201166\pi\) | |||||||
\(548\) | 1.58550 | − | 2.63512i | 0.0677292 | − | 0.112567i | ||||
\(549\) | −0.0158610 | − | 2.12508i | −0.000676929 | − | 0.0906962i | ||||
\(550\) | −3.42364 | − | 12.3309i | −0.145985 | − | 0.525789i | ||||
\(551\) | 4.09377 | − | 37.6416i | 0.174400 | − | 1.60358i | ||||
\(552\) | −4.53331 | + | 9.89533i | −0.192951 | + | 0.421173i | ||||
\(553\) | −21.9313 | + | 10.1465i | −0.932614 | + | 0.431473i | ||||
\(554\) | −14.7596 | + | 21.7687i | −0.627074 | + | 0.924865i | ||||
\(555\) | 2.60711 | − | 0.437411i | 0.110666 | − | 0.0185671i | ||||
\(556\) | 0.569367 | − | 3.47298i | 0.0241465 | − | 0.147287i | ||||
\(557\) | −3.57655 | + | 0.586346i | −0.151543 | + | 0.0248443i | −0.237076 | − | 0.971491i | \(-0.576189\pi\) |
0.0855327 | + | 0.996335i | \(0.472741\pi\) | |||||||
\(558\) | −7.19496 | − | 1.93995i | −0.304587 | − | 0.0821246i | ||||
\(559\) | −5.33050 | + | 19.1987i | −0.225456 | + | 0.812020i | ||||
\(560\) | −2.02421 | − | 0.806521i | −0.0855387 | − | 0.0340817i | ||||
\(561\) | 8.29428 | − | 0.933389i | 0.350185 | − | 0.0394077i | ||||
\(562\) | 20.0874 | + | 5.57725i | 0.847338 | + | 0.235262i | ||||
\(563\) | 27.2133 | − | 9.16922i | 1.14690 | − | 0.386437i | 0.319247 | − | 0.947672i | \(-0.396570\pi\) |
0.827657 | + | 0.561235i | \(0.189674\pi\) | |||||||
\(564\) | −0.933379 | − | 1.21837i | −0.0393023 | − | 0.0513028i | ||||
\(565\) | −4.21231 | − | 0.690573i | −0.177213 | − | 0.0290526i | ||||
\(566\) | −0.269830 | + | 0.800828i | −0.0113418 | + | 0.0336613i | ||||
\(567\) | −25.0172 | − | 5.11644i | −1.05063 | − | 0.214870i | ||||
\(568\) | −4.18134 | − | 9.03782i | −0.175445 | − | 0.379219i | ||||
\(569\) | −32.6735 | + | 24.8378i | −1.36975 | + | 1.04125i | −0.376355 | + | 0.926476i | \(0.622823\pi\) |
−0.993391 | + | 0.114778i | \(0.963384\pi\) | |||||||
\(570\) | 1.03319 | + | 2.56524i | 0.0432757 | + | 0.107446i | ||||
\(571\) | −20.2371 | + | 5.61881i | −0.846897 | + | 0.235140i | −0.663758 | − | 0.747947i | \(-0.731040\pi\) |
−0.183139 | + | 0.983087i | \(0.558626\pi\) | |||||||
\(572\) | −1.33272 | + | 0.903603i | −0.0557236 | + | 0.0377816i | ||||
\(573\) | 31.4175 | + | 1.58584i | 1.31248 | + | 0.0662495i | ||||
\(574\) | −40.1411 | − | 2.17639i | −1.67546 | − | 0.0908406i | ||||
\(575\) | −7.45008 | − | 7.05709i | −0.310690 | − | 0.294301i | ||||
\(576\) | 25.1819 | − | 8.69457i | 1.04924 | − | 0.362274i | ||||
\(577\) | −4.16392 | − | 0.916549i | −0.173346 | − | 0.0381564i | 0.127449 | − | 0.991845i | \(-0.459321\pi\) |
−0.300795 | + | 0.953689i | \(0.597252\pi\) | |||||||
\(578\) | 9.38952 | − | 11.0542i | 0.390553 | − | 0.459794i | ||||
\(579\) | 8.40718 | + | 13.8555i | 0.349391 | + | 0.575817i | ||||
\(580\) | −0.314145 | + | 0.592540i | −0.0130442 | + | 0.0246039i | ||||
\(581\) | −24.8935 | + | 5.47948i | −1.03276 | + | 0.227327i | ||||
\(582\) | 1.17562 | + | 20.2826i | 0.0487310 | + | 0.840740i | ||||
\(583\) | 5.24658 | + | 8.71988i | 0.217291 | + | 0.361141i | ||||
\(584\) | −5.18814 | + | 2.75058i | −0.214687 | + | 0.113820i | ||||
\(585\) | 1.57966 | − | 0.183738i | 0.0653109 | − | 0.00759662i | ||||
\(586\) | 4.80926 | + | 5.07707i | 0.198669 | + | 0.209732i | ||||
\(587\) | −9.91047 | + | 1.07783i | −0.409049 | + | 0.0444868i | −0.310331 | − | 0.950629i | \(-0.600440\pi\) |
−0.0987183 | + | 0.995115i | \(0.531474\pi\) | |||||||
\(588\) | 0.511078 | + | 0.430841i | 0.0210765 | + | 0.0177676i | ||||
\(589\) | − | 9.90086i | − | 0.407958i | ||||||
\(590\) | 0.532388 | + | 2.34864i | 0.0219181 | + | 0.0966918i | ||||
\(591\) | 21.2928 | + | 39.8028i | 0.875868 | + | 1.63727i | ||||
\(592\) | −18.0833 | + | 7.20503i | −0.743217 | + | 0.296125i | ||||
\(593\) | 4.80058 | + | 44.1406i | 0.197136 | + | 1.81264i | 0.507097 | + | 0.861889i | \(0.330718\pi\) |
−0.309961 | + | 0.950749i | \(0.600316\pi\) | |||||||
\(594\) | −8.26600 | − | 10.6247i | −0.339158 | − | 0.435937i | ||||
\(595\) | 1.07119 | + | 1.26111i | 0.0439147 | + | 0.0517004i | ||||
\(596\) | 3.09192 | + | 5.83199i | 0.126650 | + | 0.238887i | ||||
\(597\) | 21.9201 | − | 36.7411i | 0.897128 | − | 1.50371i | ||||
\(598\) | 2.40753 | − | 5.20380i | 0.0984513 | − | 0.212799i | ||||
\(599\) | −3.90975 | − | 17.7622i | −0.159748 | − | 0.725743i | −0.986578 | − | 0.163291i | \(-0.947789\pi\) |
0.826830 | − | 0.562452i | \(-0.190142\pi\) | |||||||
\(600\) | 0.0965839 | + | 25.8813i | 0.00394302 | + | 1.05660i | ||||
\(601\) | −38.9702 | + | 2.11290i | −1.58963 | + | 0.0861870i | −0.827585 | − | 0.561341i | \(-0.810286\pi\) |
−0.762042 | + | 0.647528i | \(0.775803\pi\) | |||||||
\(602\) | 25.4830 | + | 21.6454i | 1.03861 | + | 0.882202i | ||||
\(603\) | 17.4911 | + | 18.1913i | 0.712294 | + | 0.740806i | ||||
\(604\) | −3.01853 | + | 3.97081i | −0.122822 | + | 0.161570i | ||||
\(605\) | −1.16247 | + | 1.22721i | −0.0472613 | + | 0.0498932i | ||||
\(606\) | 4.12094 | + | 8.82075i | 0.167402 | + | 0.358318i | ||||
\(607\) | 22.0309 | + | 13.2555i | 0.894206 | + | 0.538026i | 0.886907 | − | 0.461947i | \(-0.152849\pi\) |
0.00729887 | + | 0.999973i | \(0.497677\pi\) | |||||||
\(608\) | 5.86238 | + | 8.64637i | 0.237751 | + | 0.350656i | ||||
\(609\) | −26.4319 | + | 25.2254i | −1.07107 | + | 1.02219i | ||||
\(610\) | 0.220792 | + | 0.0240126i | 0.00893960 | + | 0.000972240i | ||||
\(611\) | 3.15144 | + | 4.14565i | 0.127494 | + | 0.167715i | ||||
\(612\) | −2.58943 | − | 0.404693i | −0.104671 | − | 0.0163588i | ||||
\(613\) | −21.9655 | − | 14.8930i | −0.887177 | − | 0.601521i | 0.0301983 | − | 0.999544i | \(-0.490386\pi\) |
−0.917375 | + | 0.398023i | \(0.869696\pi\) | |||||||
\(614\) | 38.5417 | + | 12.9862i | 1.55542 | + | 0.524081i | ||||
\(615\) | −1.52166 | − | 4.46103i | −0.0613591 | − | 0.179886i | ||||
\(616\) | 2.81542 | + | 17.1733i | 0.113436 | + | 0.691932i | ||||
\(617\) | −10.0925 | − | 29.9536i | −0.406310 | − | 1.20589i | −0.934255 | − | 0.356607i | \(-0.883934\pi\) |
0.527944 | − | 0.849279i | \(-0.322963\pi\) | |||||||
\(618\) | 33.1163 | − | 7.41914i | 1.33213 | − | 0.298441i | ||||
\(619\) | 8.49729 | − | 21.3266i | 0.341535 | − | 0.857188i | −0.653432 | − | 0.756985i | \(-0.726672\pi\) |
0.994967 | − | 0.100203i | \(-0.0319491\pi\) | |||||||
\(620\) | −0.0649114 | + | 0.162915i | −0.00260690 | + | 0.00654284i | ||||
\(621\) | −10.0719 | − | 3.88293i | −0.404172 | − | 0.155817i | ||||
\(622\) | 4.73124 | + | 14.0418i | 0.189706 | + | 0.563026i | ||||
\(623\) | −6.09401 | − | 37.1718i | −0.244151 | − | 1.48926i | ||||
\(624\) | −11.0832 | + | 3.78048i | −0.443684 | + | 0.151340i | ||||
\(625\) | −22.8388 | − | 7.69529i | −0.913552 | − | 0.307812i | ||||
\(626\) | 34.5966 | + | 23.4570i | 1.38276 | + | 0.937532i | ||||
\(627\) | 10.7706 | − | 14.2787i | 0.430135 | − | 0.570238i | ||||
\(628\) | −0.562980 | − | 0.740587i | −0.0224653 | − | 0.0295526i | ||||
\(629\) | 14.6951 | + | 1.59818i | 0.585931 | + | 0.0637238i | ||||
\(630\) | 0.833195 | − | 2.53521i | 0.0331953 | − | 0.101005i | ||||
\(631\) | 22.5112 | + | 33.2015i | 0.896156 | + | 1.32173i | 0.946401 | + | 0.322994i | \(0.104690\pi\) |
−0.0502447 | + | 0.998737i | \(0.516000\pi\) | |||||||
\(632\) | 22.0758 | + | 13.2826i | 0.878129 | + | 0.528353i | ||||
\(633\) | 8.32887 | − | 3.89115i | 0.331043 | − | 0.154659i | ||||
\(634\) | −3.06315 | + | 3.23373i | −0.121653 | + | 0.128428i | ||||
\(635\) | −2.65466 | + | 3.49214i | −0.105347 | + | 0.138581i | ||||
\(636\) | −0.866363 | − | 3.07578i | −0.0343535 | − | 0.121963i | ||||
\(637\) | −1.72858 | − | 1.46827i | −0.0684890 | − | 0.0581751i | ||||
\(638\) | −19.2333 | + | 1.04280i | −0.761453 | + | 0.0412848i | ||||
\(639\) | 8.69080 | − | 4.69100i | 0.343803 | − | 0.185573i | ||||
\(640\) | 0.382094 | + | 1.73587i | 0.0151036 | + | 0.0686164i | ||||
\(641\) | −11.5678 | + | 25.0034i | −0.456900 | + | 0.987574i | 0.533040 | + | 0.846090i | \(0.321049\pi\) |
−0.989941 | + | 0.141484i | \(0.954813\pi\) | |||||||
\(642\) | −29.5980 | − | 17.6584i | −1.16814 | − | 0.696922i | ||||
\(643\) | 0.581679 | + | 1.09716i | 0.0229392 | + | 0.0432679i | 0.894717 | − | 0.446634i | \(-0.147377\pi\) |
−0.871778 | + | 0.489902i | \(0.837033\pi\) | |||||||
\(644\) | 1.40264 | + | 1.65132i | 0.0552718 | + | 0.0650710i | ||||
\(645\) | −1.23786 | + | 3.71966i | −0.0487408 | + | 0.146461i | ||||
\(646\) | 1.67190 | + | 15.3729i | 0.0657801 | + | 0.604838i | ||||
\(647\) | −1.48296 | + | 0.590863i | −0.0583010 | + | 0.0232292i | −0.399106 | − | 0.916905i | \(-0.630680\pi\) |
0.340805 | + | 0.940134i | \(0.389300\pi\) | |||||||
\(648\) | 10.4533 | + | 25.1379i | 0.410645 | + | 0.987511i | ||||
\(649\) | 11.2401 | − | 10.7813i | 0.441211 | − | 0.423202i | ||||
\(650\) | − | 13.6341i | − | 0.534773i | ||||||
\(651\) | −6.15794 | + | 7.30476i | −0.241349 | + | 0.286296i | ||||
\(652\) | −1.64957 | + | 0.179401i | −0.0646020 | + | 0.00702589i | ||||
\(653\) | −7.61645 | − | 8.04059i | −0.298055 | − | 0.314652i | 0.559717 | − | 0.828684i | \(-0.310910\pi\) |
−0.857771 | + | 0.514032i | \(0.828151\pi\) | |||||||
\(654\) | −0.581078 | + | 1.47437i | −0.0227219 | + | 0.0576525i | ||||
\(655\) | −1.96421 | + | 1.04136i | −0.0767480 | + | 0.0406892i | ||||
\(656\) | 17.8934 | + | 29.7390i | 0.698619 | + | 1.16111i | ||||
\(657\) | −3.03959 | − | 4.96754i | −0.118586 | − | 0.193802i | ||||
\(658\) | 8.53412 | − | 1.87850i | 0.332695 | − | 0.0732316i | ||||
\(659\) | −20.6655 | + | 38.9793i | −0.805014 | + | 1.51842i | 0.0493736 | + | 0.998780i | \(0.484278\pi\) |
−0.854387 | + | 0.519637i | \(0.826067\pi\) | |||||||
\(660\) | −0.270839 | + | 0.164338i | −0.0105424 | + | 0.00639686i | ||||
\(661\) | 23.2269 | − | 27.3448i | 0.903422 | − | 1.06359i | −0.0942599 | − | 0.995548i | \(-0.530048\pi\) |
0.997682 | − | 0.0680435i | \(-0.0216757\pi\) | |||||||
\(662\) | −4.92328 | − | 1.08370i | −0.191349 | − | 0.0421190i | ||||
\(663\) | 8.78056 | + | 1.40587i | 0.341009 | + | 0.0545996i | ||||
\(664\) | 19.7297 | + | 18.6890i | 0.765662 | + | 0.725273i | ||||
\(665\) | 3.54042 | + | 0.191956i | 0.137292 | + | 0.00744373i | ||||
\(666\) | −10.1714 | − | 21.5613i | −0.394132 | − | 0.835483i | ||||
\(667\) | −12.7840 | + | 8.66776i | −0.494998 | + | 0.335617i | ||||
\(668\) | 8.27884 | − | 2.29861i | 0.320318 | − | 0.0889358i | ||||
\(669\) | −36.3786 | + | 14.6521i | −1.40648 | + | 0.566483i | ||||
\(670\) | −2.09960 | + | 1.59607i | −0.0811145 | + | 0.0616616i | ||||
\(671\) | −0.603112 | − | 1.30360i | −0.0232829 | − | 0.0503251i | ||||
\(672\) | 1.05249 | − | 10.0254i | 0.0406005 | − | 0.386737i | ||||
\(673\) | 12.0418 | − | 35.7389i | 0.464179 | − | 1.37763i | −0.418739 | − | 0.908106i | \(-0.637528\pi\) |
0.882918 | − | 0.469527i | \(-0.155576\pi\) | |||||||
\(674\) | −18.7375 | − | 3.07185i | −0.721740 | − | 0.118323i | ||||
\(675\) | −25.6131 | + | 1.67648i | −0.985847 | + | 0.0645276i | ||||
\(676\) | 2.90293 | − | 0.978110i | 0.111651 | − | 0.0376196i | ||||
\(677\) | −21.0348 | − | 5.84029i | −0.808434 | − | 0.224461i | −0.161368 | − | 0.986894i | \(-0.551591\pi\) |
−0.647066 | + | 0.762434i | \(0.724004\pi\) | |||||||
\(678\) | 4.30476 | + | 38.2530i | 0.165323 | + | 1.46910i | ||||
\(679\) | 24.1978 | + | 9.64130i | 0.928628 | + | 0.369999i | ||||
\(680\) | 0.471956 | − | 1.69983i | 0.0180987 | − | 0.0651855i | ||||
\(681\) | 2.34199 | − | 2.49096i | 0.0897452 | − | 0.0954538i | ||||
\(682\) | −4.97031 | + | 0.814841i | −0.190323 | + | 0.0312019i | ||||
\(683\) | 1.31616 | − | 8.02825i | 0.0503616 | − | 0.307192i | −0.949619 | − | 0.313407i | \(-0.898530\pi\) |
0.999981 | + | 0.00621415i | \(0.00197804\pi\) | |||||||
\(684\) | −4.44541 | + | 3.43197i | −0.169975 | + | 0.131224i | ||||
\(685\) | −1.15209 | + | 1.69921i | −0.0440192 | + | 0.0649235i | ||||
\(686\) | 19.5757 | − | 9.05668i | 0.747404 | − | 0.345786i | ||||
\(687\) | 23.3469 | + | 10.6958i | 0.890740 | + | 0.408071i | ||||
\(688\) | 3.12102 | − | 28.6973i | 0.118988 | − | 1.09408i | ||||
\(689\) | 2.90054 | + | 10.4468i | 0.110502 | + | 0.397992i | ||||
\(690\) | 0.524692 | − | 0.998661i | 0.0199747 | − | 0.0380184i | ||||
\(691\) | −18.8190 | + | 31.2774i | −0.715909 | + | 1.18985i | 0.258704 | + | 0.965957i | \(0.416704\pi\) |
−0.974614 | + | 0.223894i | \(0.928123\pi\) | |||||||
\(692\) | −0.230102 | + | 4.24398i | −0.00874717 | + | 0.161332i | ||||
\(693\) | −16.8272 | + | 3.83585i | −0.639213 | + | 0.145712i | ||||
\(694\) | −25.9751 | − | 19.7458i | −0.986001 | − | 0.749539i | ||||
\(695\) | −0.505043 | + | 2.29443i | −0.0191574 | + | 0.0870328i | ||||
\(696\) | 38.0751 | + | 8.23212i | 1.44323 | + | 0.312038i | ||||
\(697\) | −1.42686 | − | 26.3169i | −0.0540462 | − | 0.996823i | ||||
\(698\) | −22.1711 | − | 11.7544i | −0.839188 | − | 0.444909i | ||||
\(699\) | 37.3066 | − | 31.9289i | 1.41106 | − | 1.20766i | ||||
\(700\) | 4.67578 | + | 2.16325i | 0.176728 | + | 0.0817631i | ||||
\(701\) | 26.4398 | − | 15.9083i | 0.998616 | − | 0.600847i | 0.0803314 | − | 0.996768i | \(-0.474402\pi\) |
0.918285 | + | 0.395921i | \(0.129575\pi\) | |||||||
\(702\) | −5.45723 | − | 13.2628i | −0.205970 | − | 0.500573i | ||||
\(703\) | 24.1412 | − | 20.5057i | 0.910504 | − | 0.773389i | ||||
\(704\) | 13.0724 | − | 12.3828i | 0.492683 | − | 0.466694i | ||||
\(705\) | 0.578135 | + | 0.845873i | 0.0217738 | + | 0.0318574i | ||||
\(706\) | 16.4222 | + | 41.2166i | 0.618058 | + | 1.55121i | ||||
\(707\) | 12.4823 | 0.469447 | ||||||||
\(708\) | −4.29776 | + | 2.33378i | −0.161520 | + | 0.0877089i | ||||
\(709\) | 16.2697 | 0.611020 | 0.305510 | − | 0.952189i | \(-0.401173\pi\) | ||||
0.305510 | + | 0.952189i | \(0.401173\pi\) | |||||||
\(710\) | 0.382027 | + | 0.958815i | 0.0143372 | + | 0.0359837i | ||||
\(711\) | −11.7995 | + | 22.6633i | −0.442516 | + | 0.849941i | ||||
\(712\) | −29.1564 | + | 27.6184i | −1.09268 | + | 1.03504i | ||||
\(713\) | −3.07821 | + | 2.61466i | −0.115280 | + | 0.0979196i | ||||
\(714\) | 8.32781 | − | 12.3818i | 0.311660 | − | 0.463378i | ||||
\(715\) | 0.921013 | − | 0.554155i | 0.0344439 | − | 0.0207242i | ||||
\(716\) | 3.14987 | + | 1.45729i | 0.117716 | + | 0.0544614i | ||||
\(717\) | 28.7939 | + | 33.6435i | 1.07533 | + | 1.25644i | ||||
\(718\) | 19.5752 | + | 10.3781i | 0.730539 | + | 0.387308i | ||||
\(719\) | −2.28858 | − | 42.2103i | −0.0853496 | − | 1.57418i | −0.657133 | − | 0.753775i | \(-0.728231\pi\) |
0.571783 | − | 0.820405i | \(-0.306252\pi\) | |||||||
\(720\) | −2.21534 | + | 0.632931i | −0.0825607 | + | 0.0235879i | ||||
\(721\) | 9.35352 | − | 42.4935i | 0.348343 | − | 1.58254i | ||||
\(722\) | 7.05357 | + | 5.36198i | 0.262507 | + | 0.199552i | ||||
\(723\) | −8.13755 | − | 2.22670i | −0.302639 | − | 0.0828120i | ||||
\(724\) | −0.200407 | + | 3.69630i | −0.00744808 | + | 0.137372i | ||||
\(725\) | −18.9349 | + | 31.4700i | −0.703223 | + | 1.16877i | ||||
\(726\) | 13.4949 | + | 7.09018i | 0.500844 | + | 0.263141i | ||||
\(727\) | −0.450074 | − | 1.62102i | −0.0166923 | − | 0.0601203i | 0.954735 | − | 0.297458i | \(-0.0961389\pi\) |
−0.971427 | + | 0.237338i | \(0.923725\pi\) | |||||||
\(728\) | −2.00458 | + | 18.4318i | −0.0742945 | + | 0.683127i | ||||
\(729\) | −24.2446 | + | 11.8828i | −0.897947 | + | 0.440103i | ||||
\(730\) | 0.552371 | − | 0.255554i | 0.0204442 | − | 0.00945849i | ||||
\(731\) | −12.3014 | + | 18.1433i | −0.454985 | + | 0.671053i | ||||
\(732\) | 0.0746273 | + | 0.444803i | 0.00275831 | + | 0.0164404i | ||||
\(733\) | −3.51675 | + | 21.4512i | −0.129894 | + | 0.792318i | 0.838870 | + | 0.544332i | \(0.183217\pi\) |
−0.968764 | + | 0.247986i | \(0.920231\pi\) | |||||||
\(734\) | −38.6672 | + | 6.33916i | −1.42723 | + | 0.233983i | ||||
\(735\) | −0.325102 | − | 0.305659i | −0.0119916 | − | 0.0112744i | ||||
\(736\) | 1.14002 | − | 4.10600i | 0.0420219 | − | 0.151349i | ||||
\(737\) | 15.8454 | + | 6.31338i | 0.583673 | + | 0.232557i | ||||
\(738\) | −35.0030 | + | 24.1159i | −1.28848 | + | 0.887718i | ||||
\(739\) | 45.0635 | + | 12.5118i | 1.65769 | + | 0.460254i | 0.965272 | − | 0.261246i | \(-0.0841335\pi\) |
0.692414 | + | 0.721501i | \(0.256547\pi\) | |||||||
\(740\) | −0.531674 | + | 0.179142i | −0.0195447 | + | 0.00658539i | ||||
\(741\) | 15.1263 | − | 11.5880i | 0.555679 | − | 0.425697i | ||||
\(742\) | 17.9537 | + | 2.94337i | 0.659102 | + | 0.108054i | ||||
\(743\) | 1.29894 | − | 3.85511i | 0.0476534 | − | 0.141430i | −0.921184 | − | 0.389126i | \(-0.872777\pi\) |
0.968838 | + | 0.247696i | \(0.0796735\pi\) | |||||||
\(744\) | 10.1306 | + | 1.06353i | 0.371404 | + | 0.0389908i | ||||
\(745\) | −1.85023 | − | 3.99921i | −0.0677872 | − | 0.146520i | ||||
\(746\) | 31.5437 | − | 23.9789i | 1.15490 | − | 0.877931i | ||||
\(747\) | −17.2944 | + | 20.6713i | −0.632769 | + | 0.756322i | ||||
\(748\) | −1.70684 | + | 0.473903i | −0.0624084 | + | 0.0173276i | ||||
\(749\) | −36.5738 | + | 24.7976i | −1.33638 | + | 0.906086i | ||||
\(750\) | 0.272110 | − | 5.39083i | 0.00993604 | − | 0.196845i | ||||
\(751\) | −32.8566 | − | 1.78143i | −1.19895 | − | 0.0650054i | −0.556181 | − | 0.831061i | \(-0.687734\pi\) |
−0.642774 | + | 0.766056i | \(0.722217\pi\) | |||||||
\(752\) | −5.47720 | − | 5.18828i | −0.199733 | − | 0.189197i | ||||
\(753\) | 1.54200 | − | 9.63076i | 0.0561936 | − | 0.350964i | ||||
\(754\) | −20.0412 | − | 4.41141i | −0.729858 | − | 0.160654i | ||||
\(755\) | 2.15559 | − | 2.53776i | 0.0784500 | − | 0.0923584i | ||||
\(756\) | 5.41433 | + | 0.232797i | 0.196917 | + | 0.00846675i | ||||
\(757\) | −2.94982 | + | 5.56395i | −0.107213 | + | 0.202225i | −0.931314 | − | 0.364218i | \(-0.881336\pi\) |
0.824101 | + | 0.566443i | \(0.191681\pi\) | |||||||
\(758\) | 2.85121 | − | 0.627598i | 0.103560 | − | 0.0227954i | ||||
\(759\) | −7.28364 | + | 0.422174i | −0.264379 | + | 0.0153239i | ||||
\(760\) | −1.94891 | − | 3.23912i | −0.0706945 | − | 0.117495i | ||||
\(761\) | 0.569004 | − | 0.301667i | 0.0206264 | − | 0.0109354i | −0.458063 | − | 0.888920i | \(-0.651457\pi\) |
0.478690 | + | 0.877984i | \(0.341112\pi\) | |||||||
\(762\) | 36.8039 | + | 14.5051i | 1.33326 | + | 0.525464i | ||||
\(763\) | 1.39727 | + | 1.47507i | 0.0505844 | + | 0.0534013i | ||||
\(764\) | −6.63711 | + | 0.721829i | −0.240122 | + | 0.0261149i | ||||
\(765\) | 1.71143 | + | 0.363343i | 0.0618767 | + | 0.0131367i | ||||
\(766\) | − | 25.9654i | − | 0.938170i | ||||||
\(767\) | 14.6114 | − | 7.86389i | 0.527588 | − | 0.283948i | ||||
\(768\) | −12.9908 | + | 6.94949i | −0.468763 | + | 0.250768i | ||||
\(769\) | −37.9809 | + | 15.1330i | −1.36963 | + | 0.545709i | −0.934918 | − | 0.354863i | \(-0.884528\pi\) |
−0.434708 | + | 0.900572i | \(0.643148\pi\) | |||||||
\(770\) | −0.195013 | − | 1.79312i | −0.00702779 | − | 0.0646194i | ||||
\(771\) | 1.55751 | + | 0.518322i | 0.0560923 | + | 0.0186669i | ||||
\(772\) | −2.22672 | − | 2.62150i | −0.0801415 | − | 0.0943499i | ||||
\(773\) | −13.5134 | − | 25.4890i | −0.486043 | − | 0.916775i | −0.998319 | − | 0.0579540i | \(-0.981542\pi\) |
0.512276 | − | 0.858821i | \(-0.328802\pi\) | |||||||
\(774\) | 35.3147 | + | 1.65046i | 1.26936 | + | 0.0593246i | ||||
\(775\) | −4.03250 | + | 8.71610i | −0.144852 | + | 0.313092i | ||||
\(776\) | −5.97004 | − | 27.1222i | −0.214312 | − | 0.973629i | ||||
\(777\) | −30.5649 | + | 0.114062i | −1.09651 | + | 0.00409195i | ||||
\(778\) | −19.1172 | + | 1.03651i | −0.685386 | + | 0.0371605i | ||||
\(779\) | −43.0434 | − | 36.5614i | −1.54219 | − | 1.30995i | ||||
\(780\) | −0.324871 | + | 0.0915072i | −0.0116323 | + | 0.00327648i | ||||
\(781\) | 4.03959 | − | 5.31399i | 0.144548 | − | 0.190149i | ||||
\(782\) | 4.33796 | − | 4.57953i | 0.155125 | − | 0.163764i | ||||
\(783\) | −5.82298 | + | 38.1920i | −0.208096 | + | 1.36487i | ||||
\(784\) | 2.81545 | + | 1.69400i | 0.100552 | + | 0.0605000i | ||||
\(785\) | 0.348504 | + | 0.514004i | 0.0124386 | + | 0.0183456i | ||||
\(786\) | 13.8419 | + | 14.5040i | 0.493725 | + | 0.517339i | ||||
\(787\) | −37.6087 | − | 4.09020i | −1.34061 | − | 0.145800i | −0.590458 | − | 0.807069i | \(-0.701053\pi\) |
−0.750149 | + | 0.661269i | \(0.770018\pi\) | |||||||
\(788\) | −5.79766 | − | 7.62670i | −0.206533 | − | 0.271690i | ||||
\(789\) | 0.374558 | + | 0.282532i | 0.0133346 | + | 0.0100584i | ||||
\(790\) | −2.21016 | − | 1.49853i | −0.0786341 | − | 0.0533152i | ||||
\(791\) | 46.7700 | + | 15.7586i | 1.66295 | + | 0.560313i | ||||
\(792\) | 13.4531 | + | 12.5542i | 0.478034 | + | 0.446096i | ||||
\(793\) | −0.247572 | − | 1.51012i | −0.00879152 | − | 0.0536259i | ||||
\(794\) | −4.80834 | − | 14.2707i | −0.170642 | − | 0.506446i | ||||
\(795\) | 0.466336 | + | 2.08156i | 0.0165392 | + | 0.0738252i | ||||
\(796\) | −3.36082 | + | 8.43502i | −0.119121 | + | 0.298971i | ||||
\(797\) | 19.3718 | − | 48.6195i | 0.686184 | − | 1.72219i | −0.00549469 | − | 0.999985i | \(-0.501749\pi\) |
0.691678 | − | 0.722206i | \(-0.256872\pi\) | |||||||
\(798\) | −6.99016 | − | 31.2016i | −0.247449 | − | 1.10452i | ||||
\(799\) | 1.82928 | + | 5.42910i | 0.0647151 | + | 0.192068i | ||||
\(800\) | −1.63932 | − | 9.99940i | −0.0579587 | − | 0.353532i | ||||
\(801\) | −29.1193 | − | 27.1738i | −1.02888 | − | 0.960140i | ||||
\(802\) | 29.3346 | + | 9.88397i | 1.03584 | + | 0.349015i | ||||
\(803\) | −3.25793 | − | 2.20893i | −0.114970 | − | 0.0779516i | ||||
\(804\) | −4.27585 | − | 3.22531i | −0.150798 | − | 0.113748i | ||||
\(805\) | −0.875287 | − | 1.15142i | −0.0308498 | − | 0.0405822i | ||||
\(806\) | −5.33454 | − | 0.580166i | −0.187901 | − | 0.0204355i | ||||
\(807\) | −5.33409 | − | 5.58920i | −0.187769 | − | 0.196749i | ||||
\(808\) | −7.46845 | − | 11.0151i | −0.262739 | − | 0.387511i | ||||
\(809\) | −23.1598 | − | 13.9348i | −0.814255 | − | 0.489921i | 0.0465134 | − | 0.998918i | \(-0.485189\pi\) |
−0.860769 | + | 0.508997i | \(0.830017\pi\) | |||||||
\(810\) | −0.940791 | − | 2.66026i | −0.0330560 | − | 0.0934720i | ||||
\(811\) | 4.07469 | − | 4.30159i | 0.143082 | − | 0.151049i | −0.650516 | − | 0.759493i | \(-0.725447\pi\) |
0.793597 | + | 0.608443i | \(0.208206\pi\) | |||||||
\(812\) | 4.69271 | − | 6.17316i | 0.164682 | − | 0.216635i | ||||
\(813\) | −17.8778 | + | 5.03569i | −0.627003 | + | 0.176609i | ||||
\(814\) | −12.2809 | − | 10.4315i | −0.430444 | − | 0.365623i | ||||
\(815\) | 1.10604 | − | 0.0599680i | 0.0387431 | − | 0.00210059i | ||||
\(816\) | −12.8829 | + | 0.0480762i | −0.450990 | + | 0.00168300i | ||||
\(817\) | 10.0975 | + | 45.8734i | 0.353267 | + | 1.60491i | ||||
\(818\) | −2.10451 | + | 4.54881i | −0.0735823 | + | 0.159046i | ||||
\(819\) | −18.3673 | − | 0.858413i | −0.641807 | − | 0.0299954i | ||||
\(820\) | 0.468563 | + | 0.883803i | 0.0163629 | + | 0.0308637i | ||||
\(821\) | −11.0259 | − | 12.9807i | −0.384806 | − | 0.453028i | 0.535321 | − | 0.844649i | \(-0.320191\pi\) |
−0.920127 | + | 0.391620i | \(0.871915\pi\) | |||||||
\(822\) | 17.5667 | + | 5.84601i | 0.612709 | + | 0.203903i | ||||
\(823\) | −2.40077 | − | 22.0747i | −0.0836856 | − | 0.769477i | −0.958514 | − | 0.285044i | \(-0.907992\pi\) |
0.874829 | − | 0.484432i | \(-0.160974\pi\) | |||||||
\(824\) | −43.0951 | + | 17.1707i | −1.50129 | + | 0.598168i | ||||
\(825\) | −15.2973 | + | 8.18339i | −0.532584 | + | 0.284909i | ||||
\(826\) | −1.68122 | − | 27.7934i | −0.0584972 | − | 0.967056i | ||||
\(827\) | 32.4858i | 1.12964i | 0.825213 | + | 0.564822i | \(0.191055\pi\) | ||||
−0.825213 | + | 0.564822i | \(0.808945\pi\) | |||||||
\(828\) | 2.24097 | + | 0.475767i | 0.0778791 | + | 0.0165341i | ||||
\(829\) | −49.5511 | + | 5.38901i | −1.72098 | + | 0.187168i | −0.914637 | − | 0.404277i | \(-0.867523\pi\) |
−0.806345 | + | 0.591445i | \(0.798558\pi\) | |||||||
\(830\) | −1.93702 | − | 2.04489i | −0.0672350 | − | 0.0709792i | ||||
\(831\) | 33.1711 | + | 13.0733i | 1.15069 | + | 0.453509i | ||||
\(832\) | 16.9488 | − | 8.98570i | 0.587595 | − | 0.311523i | ||||
\(833\) | −1.28637 | − | 2.13797i | −0.0445702 | − | 0.0740762i | ||||
\(834\) | 21.1514 | − | 1.22598i | 0.732414 | − | 0.0424521i | ||||
\(835\) | −5.60155 | + | 1.23299i | −0.193850 | + | 0.0426695i | ||||
\(836\) | −1.77800 | + | 3.35366i | −0.0614934 | + | 0.115989i | ||||
\(837\) | −0.433956 | + | 10.0928i | −0.0149997 | + | 0.348859i | ||||
\(838\) | −1.62914 | + | 1.91798i | −0.0562778 | + | 0.0662554i | ||||
\(839\) | 11.3688 | + | 2.50245i | 0.392493 | + | 0.0863943i | 0.406832 | − | 0.913503i | \(-0.366633\pi\) |
−0.0143390 | + | 0.999897i | \(0.504564\pi\) | |||||||
\(840\) | −0.576713 | + | 3.60194i | −0.0198985 | + | 0.124279i | ||||
\(841\) | 19.0784 | + | 18.0720i | 0.657876 | + | 0.623174i | ||||
\(842\) | −11.9985 | − | 0.650538i | −0.413494 | − | 0.0224190i | ||||
\(843\) | 1.42473 | − | 28.2257i | 0.0490704 | − | 0.972144i | ||||
\(844\) | −1.61485 | + | 1.09490i | −0.0555855 | + | 0.0376879i | ||||
\(845\) | −1.97037 | + | 0.547071i | −0.0677829 | + | 0.0188198i | ||||
\(846\) | 5.92895 | − | 7.08662i | 0.203842 | − | 0.243643i | ||||
\(847\) | 15.5592 | − | 11.8278i | 0.534620 | − | 0.406408i | ||||
\(848\) | −6.59539 | − | 14.2557i | −0.226487 | − | 0.489543i | ||||
\(849\) | 1.13935 | + | 0.119611i | 0.0391023 | + | 0.00410504i | ||||
\(850\) | 4.78935 | − | 14.2143i | 0.164273 | − | 0.487546i | ||||
\(851\) | −12.7506 | − | 2.09036i | −0.437085 | − | 0.0716565i | ||||
\(852\) | −1.66386 | + | 1.27466i | −0.0570029 | + | 0.0436691i | ||||
\(853\) | 24.1098 | − | 8.12353i | 0.825504 | − | 0.278145i | 0.125328 | − | 0.992115i | \(-0.460002\pi\) |
0.700175 | + | 0.713971i | \(0.253105\pi\) | |||||||
\(854\) | −2.47428 | − | 0.686981i | −0.0846682 | − | 0.0235080i | ||||
\(855\) | 3.08724 | − | 2.12701i | 0.105581 | − | 0.0727421i | ||||
\(856\) | 43.7657 | + | 17.4379i | 1.49588 | + | 0.596014i | ||||
\(857\) | 9.99151 | − | 35.9862i | 0.341303 | − | 1.22926i | −0.571411 | − | 0.820664i | \(-0.693604\pi\) |
0.912714 | − | 0.408599i | \(-0.133983\pi\) | |||||||
\(858\) | −7.06219 | − | 6.63983i | −0.241099 | − | 0.226680i | ||||
\(859\) | 6.00879 | − | 0.985091i | 0.205017 | − | 0.0336109i | −0.0583982 | − | 0.998293i | \(-0.518599\pi\) |
0.263415 | + | 0.964683i | \(0.415151\pi\) | |||||||
\(860\) | 0.134601 | − | 0.821032i | 0.00458987 | − | 0.0279970i | ||||
\(861\) | 9.01727 | + | 53.7459i | 0.307308 | + | 1.83165i | ||||
\(862\) | 13.8605 | − | 20.4426i | 0.472089 | − | 0.696279i | ||||
\(863\) | −21.0161 | + | 9.72306i | −0.715395 | + | 0.330977i | −0.743600 | − | 0.668625i | \(-0.766883\pi\) |
0.0282046 | + | 0.999602i | \(0.491021\pi\) | |||||||
\(864\) | −5.59707 | − | 9.07095i | −0.190416 | − | 0.308600i | ||||
\(865\) | 0.306761 | − | 2.82062i | 0.0104302 | − | 0.0959040i | ||||
\(866\) | 4.06586 | + | 14.6439i | 0.138164 | + | 0.497620i | ||||
\(867\) | −17.4058 | − | 9.14493i | −0.591132 | − | 0.310578i | ||||
\(868\) | 1.04537 | − | 1.73742i | 0.0354821 | − | 0.0589717i | ||||
\(869\) | −0.934961 | + | 17.2443i | −0.0317164 | + | 0.584974i | ||||
\(870\) | −3.89432 | − | 1.06562i | −0.132030 | − | 0.0361278i | ||||
\(871\) | 14.4667 | + | 10.9973i | 0.490186 | + | 0.372629i | ||||
\(872\) | 0.465678 | − | 2.11560i | 0.0157698 | − | 0.0716431i | ||||
\(873\) | 26.4825 | − | 7.56618i | 0.896298 | − | 0.256076i | ||||
\(874\) | −0.731786 | − | 13.4970i | −0.0247530 | − | 0.456543i | ||||
\(875\) | −6.11421 | − | 3.24155i | −0.206698 | − | 0.109584i | ||||
\(876\) | 0.803660 | + | 0.939017i | 0.0271531 | + | 0.0317264i | ||||
\(877\) | 11.6528 | + | 5.39116i | 0.393487 | + | 0.182047i | 0.606648 | − | 0.794971i | \(-0.292514\pi\) |
−0.213161 | + | 0.977017i | \(0.568376\pi\) | |||||||
\(878\) | 0.521702 | − | 0.313897i | 0.0176066 | − | 0.0105935i | ||||
\(879\) | 5.29095 | − | 7.86661i | 0.178459 | − | 0.265334i | ||||
\(880\) | −1.18686 | + | 1.00813i | −0.0400092 | + | 0.0339841i | ||||
\(881\) | −9.98322 | + | 9.45661i | −0.336343 | + | 0.318601i | −0.837166 | − | 0.546949i | \(-0.815789\pi\) |
0.500823 | + | 0.865550i | \(0.333031\pi\) | |||||||
\(882\) | −1.85836 | + | 3.56935i | −0.0625741 | + | 0.120186i | ||||
\(883\) | 10.7536 | + | 26.9894i | 0.361887 | + | 0.908267i | 0.991351 | + | 0.131238i | \(0.0418951\pi\) |
−0.629464 | + | 0.777029i | \(0.716726\pi\) | |||||||
\(884\) | −1.88724 | −0.0634748 | ||||||||
\(885\) | 2.94913 | − | 1.40032i | 0.0991338 | − | 0.0470713i | ||||
\(886\) | 14.3619 | 0.482496 | ||||||||
\(887\) | −8.11336 | − | 20.3630i | −0.272420 | − | 0.683723i | 0.727577 | − | 0.686026i | \(-0.240646\pi\) |
−0.999997 | + | 0.00230301i | \(0.999267\pi\) | |||||||
\(888\) | 18.3883 | + | 26.9040i | 0.617071 | + | 0.902839i | ||||
\(889\) | 36.8214 | − | 34.8791i | 1.23495 | − | 1.16981i | ||||
\(890\) | 3.17246 | − | 2.69471i | 0.106341 | − | 0.0903269i | ||||
\(891\) | −11.6052 | + | 14.0835i | −0.388790 | + | 0.471815i | ||||
\(892\) | 7.13193 | − | 4.29114i | 0.238795 | − | 0.143678i | ||||
\(893\) | 11.1416 | + | 5.15466i | 0.372840 | + | 0.172494i | ||||
\(894\) | −30.1908 | + | 25.8389i | −1.00973 | + | 0.864182i | ||||
\(895\) | −2.04696 | − | 1.08523i | −0.0684225 | − | 0.0362753i | ||||
\(896\) | −1.11260 | − | 20.5207i | −0.0371694 | − | 0.685549i | ||||
\(897\) | −7.59738 | − | 1.64261i | −0.253669 | − | 0.0548451i | ||||
\(898\) | 4.02686 | − | 18.2942i | 0.134378 | − | 0.610486i | ||||
\(899\) | 11.5074 | + | 8.74766i | 0.383792 | + | 0.291751i | ||||
\(900\) | 5.31126 | − | 1.21073i | 0.177042 | − | 0.0403576i | ||||
\(901\) | −0.645756 | + | 11.9103i | −0.0215133 | + | 0.396789i | ||||
\(902\) | −14.8116 | + | 24.6171i | −0.493173 | + | 0.819660i | ||||
\(903\) | 21.0816 | − | 40.1252i | 0.701551 | − | 1.33528i | ||||
\(904\) | −14.0771 | − | 50.7013i | −0.468199 | − | 1.68630i | ||||
\(905\) | 0.267174 | − | 2.45662i | 0.00888115 | − | 0.0816609i | ||||
\(906\) | −27.2992 | − | 12.5065i | −0.906955 | − | 0.415500i | ||||
\(907\) | 1.99056 | − | 0.920933i | 0.0660956 | − | 0.0305791i | −0.386563 | − | 0.922263i | \(-0.626338\pi\) |
0.452658 | + | 0.891684i | \(0.350476\pi\) | |||||||
\(908\) | −0.407211 | + | 0.600591i | −0.0135138 | + | 0.0199313i | ||||
\(909\) | 10.4473 | − | 8.06555i | 0.346514 | − | 0.267518i | ||||
\(910\) | 0.310885 | − | 1.89631i | 0.0103057 | − | 0.0628622i | ||||
\(911\) | 24.6612 | − | 4.04301i | 0.817064 | − | 0.133951i | 0.261264 | − | 0.965267i | \(-0.415861\pi\) |
0.555799 | + | 0.831317i | \(0.312412\pi\) | |||||||
\(912\) | −18.9097 | + | 20.1125i | −0.626161 | + | 0.665991i | ||||
\(913\) | −4.87340 | + | 17.5524i | −0.161286 | + | 0.580900i | ||||
\(914\) | −36.3687 | − | 14.4906i | −1.20297 | − | 0.479307i | ||||
\(915\) | −0.0336693 | − | 0.299192i | −0.00111307 | − | 0.00989099i | ||||
\(916\) | −5.25149 | − | 1.45807i | −0.173514 | − | 0.0481760i | ||||
\(917\) | 24.3592 | − | 8.20757i | 0.804411 | − | 0.271038i | ||||
\(918\) | −1.03052 | − | 15.7442i | −0.0340123 | − | 0.519637i | ||||
\(919\) | 21.1256 | + | 3.46337i | 0.696870 | + | 0.114246i | 0.499797 | − | 0.866143i | \(-0.333408\pi\) |
0.197073 | + | 0.980389i | \(0.436856\pi\) | |||||||
\(920\) | −0.492377 | + | 1.46132i | −0.0162332 | + | 0.0481784i | ||||
\(921\) | 5.75657 | − | 54.8338i | 0.189685 | − | 1.80683i | ||||
\(922\) | 1.48019 | + | 3.19937i | 0.0487474 | + | 0.105366i | ||||
\(923\) | 5.66145 | − | 4.30373i | 0.186349 | − | 0.141659i | ||||
\(924\) | 3.39764 | − | 1.36846i | 0.111774 | − | 0.0450189i | ||||
\(925\) | −29.6042 | + | 8.21956i | −0.973380 | + | 0.270258i | ||||
\(926\) | 3.55659 | − | 2.41143i | 0.116877 | − | 0.0792445i | ||||
\(927\) | −19.6289 | − | 41.6094i | −0.644698 | − | 1.36663i | ||||
\(928\) | −15.2289 | − | 0.825686i | −0.499912 | − | 0.0271045i | ||||
\(929\) | 13.6788 | + | 12.9572i | 0.448786 | + | 0.425112i | 0.878419 | − | 0.477891i | \(-0.158599\pi\) |
−0.429633 | + | 0.903003i | \(0.641357\pi\) | |||||||
\(930\) | −1.04248 | − | 0.166913i | −0.0341841 | − | 0.00547329i | ||||
\(931\) | −5.22162 | − | 1.14937i | −0.171132 | − | 0.0376690i | ||||
\(932\) | −6.74670 | + | 7.94283i | −0.220996 | + | 0.260176i | ||||
\(933\) | 17.1731 | − | 10.4202i | 0.562224 | − | 0.341143i | ||||
\(934\) | 8.20139 | − | 15.4695i | 0.268358 | − | 0.506176i | ||||
\(935\) | 1.15487 | − | 0.254206i | 0.0377683 | − | 0.00831343i | ||||
\(936\) | 10.2321 | + | 16.7220i | 0.334445 | + | 0.546576i | ||||
\(937\) | 15.8757 | + | 26.3856i | 0.518636 | + | 0.861981i | 0.999893 | − | 0.0145990i | \(-0.00464718\pi\) |
−0.481257 | + | 0.876580i | \(0.659820\pi\) | |||||||
\(938\) | 26.9416 | − | 14.2835i | 0.879673 | − | 0.466373i | ||||
\(939\) | 20.7772 | − | 52.7180i | 0.678037 | − | 1.72039i | ||||
\(940\) | −0.149537 | − | 0.157864i | −0.00487735 | − | 0.00514896i | ||||
\(941\) | −12.6239 | + | 1.37293i | −0.411528 | + | 0.0447563i | −0.311542 | − | 0.950233i | \(-0.600845\pi\) |
−0.0999860 | + | 0.994989i | \(0.531880\pi\) | |||||||
\(942\) | 3.60966 | − | 4.28190i | 0.117609 | − | 0.139512i | ||||
\(943\) | 23.0376i | 0.750207i | ||||||||
\(944\) | −19.0464 | + | 14.6675i | −0.619908 | + | 0.477386i | ||||
\(945\) | −3.60065 | − | 0.350855i | −0.117129 | − | 0.0114133i | ||||
\(946\) | 22.1978 | − | 8.84441i | 0.721713 | − | 0.287557i | ||||
\(947\) | 4.20233 | + | 38.6398i | 0.136557 | + | 1.25562i | 0.839098 | + | 0.543980i | \(0.183083\pi\) |
−0.702541 | + | 0.711643i | \(0.747951\pi\) | |||||||
\(948\) | 1.71229 | − | 5.14528i | 0.0556126 | − | 0.167111i | ||||
\(949\) | −2.71485 | − | 3.19617i | −0.0881278 | − | 0.103752i | ||||
\(950\) | −15.0552 | − | 28.3972i | −0.488457 | − | 0.921327i | ||||
\(951\) | 5.18557 | + | 3.09375i | 0.168154 | + | 0.100322i | ||||
\(952\) | −8.56455 | + | 18.5120i | −0.277579 | + | 0.599976i | ||||
\(953\) | 5.71109 | + | 25.9457i | 0.185000 | + | 0.840465i | 0.974085 | + | 0.226181i | \(0.0726240\pi\) |
−0.789085 | + | 0.614284i | \(0.789445\pi\) | |||||||
\(954\) | 16.9285 | − | 9.13744i | 0.548081 | − | 0.295836i | ||||
\(955\) | 4.45023 | − | 0.241284i | 0.144006 | − | 0.00780777i | ||||
\(956\) | −7.16295 | − | 6.08426i | −0.231666 | − | 0.196779i | ||||
\(957\) | 7.07950 | + | 25.1338i | 0.228848 | + | 0.812461i | ||||
\(958\) | −13.1322 | + | 17.2751i | −0.424282 | + | 0.558134i | ||||
\(959\) | 16.3236 | − | 17.2326i | 0.527118 | − | 0.556471i | ||||
\(960\) | 3.41955 | − | 1.59757i | 0.110366 | − | 0.0515614i | ||||
\(961\) | −23.3239 | − | 14.0335i | −0.752383 | − | 0.452694i | ||||
\(962\) | −9.63379 | − | 14.2088i | −0.310606 | − | 0.458109i | ||||
\(963\) | −14.5878 | + | 44.3872i | −0.470085 | + | 1.43036i | ||||
\(964\) | 1.78003 | + | 0.193590i | 0.0573309 | + | 0.00623511i | ||||
\(965\) | 1.38954 | + | 1.82791i | 0.0447308 | + | 0.0588424i | ||||
\(966\) | −7.85468 | + | 10.4131i | −0.252720 | + | 0.335036i | ||||
\(967\) | 17.9662 | + | 12.1814i | 0.577753 | + | 0.391726i | 0.814774 | − | 0.579778i | \(-0.196861\pi\) |
−0.237021 | + | 0.971504i | \(0.576171\pi\) | |||||||
\(968\) | −19.7469 | − | 6.65351i | −0.634690 | − | 0.213852i | ||||
\(969\) | 19.8406 | − | 6.76764i | 0.637373 | − | 0.217408i | ||||
\(970\) | 0.465669 | + | 2.84046i | 0.0149517 | + | 0.0912016i | ||||
\(971\) | −16.5134 | − | 49.0100i | −0.529940 | − | 1.57281i | −0.793758 | − | 0.608234i | \(-0.791878\pi\) |
0.263818 | − | 0.964572i | \(-0.415018\pi\) | |||||||
\(972\) | 4.68202 | − | 3.30366i | 0.150176 | − | 0.105965i | ||||
\(973\) | 10.0543 | − | 25.2344i | 0.322326 | − | 0.808977i | ||||
\(974\) | −13.9299 | + | 34.9615i | −0.446343 | + | 1.12024i | ||||
\(975\) | −18.0359 | + | 4.04064i | −0.577612 | + | 0.129404i | ||||
\(976\) | 0.707893 | + | 2.10095i | 0.0226591 | + | 0.0672499i | ||||
\(977\) | 2.58204 | + | 15.7497i | 0.0826067 | + | 0.503878i | 0.995428 | + | 0.0955184i | \(0.0304509\pi\) |
−0.912821 | + | 0.408360i | \(0.866101\pi\) | |||||||
\(978\) | −3.22485 | − | 9.45428i | −0.103119 | − | 0.302315i | ||||
\(979\) | −25.5108 | − | 8.59560i | −0.815330 | − | 0.274717i | ||||
\(980\) | 0.0783847 | + | 0.0531461i | 0.00250391 | + | 0.00169769i | ||||
\(981\) | 2.12259 | + | 0.331733i | 0.0677691 | + | 0.0105914i | ||||
\(982\) | −4.94082 | − | 6.49953i | −0.157668 | − | 0.207408i | ||||
\(983\) | 55.2992 | + | 6.01415i | 1.76377 | + | 0.191822i | 0.931793 | − | 0.362989i | \(-0.118244\pi\) |
0.831977 | + | 0.554811i | \(0.187209\pi\) | |||||||
\(984\) | 42.0332 | − | 40.1147i | 1.33997 | − | 1.27881i | ||||
\(985\) | 3.58895 | + | 5.29331i | 0.114354 | + | 0.168659i | ||||
\(986\) | −19.3444 | − | 11.6392i | −0.616053 | − | 0.370667i | ||||
\(987\) | −5.01418 | − | 10.7327i | −0.159603 | − | 0.341625i | ||||
\(988\) | −2.78108 | + | 2.93595i | −0.0884778 | + | 0.0934049i | ||||
\(989\) | 11.5956 | − | 15.2538i | 0.368719 | − | 0.485042i | ||||
\(990\) | −1.32185 | − | 1.37477i | −0.0420113 | − | 0.0436929i | ||||
\(991\) | −43.7950 | − | 37.1998i | −1.39119 | − | 1.18169i | −0.960193 | − | 0.279338i | \(-0.909885\pi\) |
−0.431000 | − | 0.902352i | \(-0.641839\pi\) | |||||||
\(992\) | −3.98217 | + | 0.215907i | −0.126434 | + | 0.00685505i | ||||
\(993\) | 0.0255029 | + | 6.83396i | 0.000809311 | + | 0.216869i | ||||
\(994\) | −2.56535 | − | 11.6545i | −0.0813681 | − | 0.369659i | ||||
\(995\) | 2.54509 | − | 5.50112i | 0.0806847 | − | 0.174397i | ||||
\(996\) | 2.93065 | − | 4.91219i | 0.0928613 | − | 0.155649i | ||||
\(997\) | 13.1013 | + | 24.7117i | 0.414923 | + | 0.782628i | 0.999590 | − | 0.0286456i | \(-0.00911943\pi\) |
−0.584666 | + | 0.811274i | \(0.698775\pi\) | |||||||
\(998\) | 9.27279 | + | 10.9168i | 0.293525 | + | 0.345564i | ||||
\(999\) | −25.5081 | + | 19.8452i | −0.807039 | + | 0.627875i |
(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 | 177.2.f.a.65.6 | ✓ | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.65.13 | yes | 504 | |
59.10 | odd | 58 | inner | 177.2.f.a.128.13 | yes | 504 | |
177.128 | even | 58 | inner | 177.2.f.a.128.6 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.65.6 | ✓ | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.65.13 | yes | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.128.6 | yes | 504 | 177.128 | even | 58 | inner | |
177.2.f.a.128.13 | yes | 504 | 59.10 | odd | 58 | inner |