Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 211.2 | ||
Character | \(\chi\) | \(=\) | 690.211 |
Dual form | 690.2.m.h.121.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415415 | − | 0.909632i | −0.293743 | − | 0.643207i | ||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | −0.841254 | − | 0.540641i | −0.376220 | − | 0.241782i | ||||
\(6\) | 0.654861 | + | 0.755750i | 0.267346 | + | 0.308533i | ||||
\(7\) | −0.0949893 | − | 0.660665i | −0.0359026 | − | 0.249708i | 0.963964 | − | 0.266032i | \(-0.0857127\pi\) |
−0.999867 | + | 0.0163242i | \(0.994804\pi\) | |||||||
\(8\) | 0.959493 | + | 0.281733i | 0.339232 | + | 0.0996075i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.142315 | + | 0.989821i | −0.0450039 | + | 0.313009i | ||||
\(11\) | −1.84014 | + | 4.02935i | −0.554824 | + | 1.21489i | 0.399669 | + | 0.916659i | \(0.369125\pi\) |
−0.954493 | + | 0.298235i | \(0.903602\pi\) | |||||||
\(12\) | 0.415415 | − | 0.909632i | 0.119920 | − | 0.262588i | ||||
\(13\) | 0.175471 | − | 1.22043i | 0.0486670 | − | 0.338486i | −0.950912 | − | 0.309462i | \(-0.899851\pi\) |
0.999579 | − | 0.0290240i | \(-0.00923993\pi\) | |||||||
\(14\) | −0.561502 | + | 0.360856i | −0.150068 | + | 0.0964427i | ||||
\(15\) | 0.959493 | + | 0.281733i | 0.247740 | + | 0.0727430i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | 2.59966 | + | 3.00017i | 0.630510 | + | 0.727647i | 0.977667 | − | 0.210160i | \(-0.0673985\pi\) |
−0.347157 | + | 0.937807i | \(0.612853\pi\) | |||||||
\(18\) | −0.841254 | − | 0.540641i | −0.198285 | − | 0.127430i | ||||
\(19\) | 2.30936 | − | 2.66514i | 0.529802 | − | 0.611425i | −0.426255 | − | 0.904603i | \(-0.640167\pi\) |
0.956058 | + | 0.293178i | \(0.0947129\pi\) | |||||||
\(20\) | 0.959493 | − | 0.281733i | 0.214549 | − | 0.0629973i | ||||
\(21\) | 0.277272 | + | 0.607142i | 0.0605058 | + | 0.132489i | ||||
\(22\) | 4.42965 | 0.944404 | ||||||||
\(23\) | 3.69737 | − | 3.05441i | 0.770956 | − | 0.636889i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.415415 | + | 0.909632i | 0.0830830 | + | 0.181926i | ||||
\(26\) | −1.18304 | + | 0.347370i | −0.232012 | + | 0.0681249i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | 0.561502 | + | 0.360856i | 0.106114 | + | 0.0681953i | ||||
\(29\) | 4.42088 | + | 5.10197i | 0.820937 | + | 0.947412i | 0.999332 | − | 0.0365467i | \(-0.0116358\pi\) |
−0.178394 | + | 0.983959i | \(0.557090\pi\) | |||||||
\(30\) | −0.142315 | − | 0.989821i | −0.0259830 | − | 0.180716i | ||||
\(31\) | −8.87841 | − | 2.60694i | −1.59461 | − | 0.468220i | −0.640570 | − | 0.767900i | \(-0.721302\pi\) |
−0.954040 | + | 0.299680i | \(0.903120\pi\) | |||||||
\(32\) | −0.841254 | + | 0.540641i | −0.148714 | + | 0.0955727i | ||||
\(33\) | 0.630404 | − | 4.38456i | 0.109739 | − | 0.763254i | ||||
\(34\) | 1.64911 | − | 3.61105i | 0.282820 | − | 0.619289i | ||||
\(35\) | −0.277272 | + | 0.607142i | −0.0468676 | + | 0.102626i | ||||
\(36\) | −0.142315 | + | 0.989821i | −0.0237191 | + | 0.164970i | ||||
\(37\) | 4.36371 | − | 2.80438i | 0.717389 | − | 0.461038i | −0.130339 | − | 0.991469i | \(-0.541607\pi\) |
0.847728 | + | 0.530432i | \(0.177970\pi\) | |||||||
\(38\) | −3.38364 | − | 0.993525i | −0.548898 | − | 0.161171i | ||||
\(39\) | 0.175471 | + | 1.22043i | 0.0280979 | + | 0.195425i | ||||
\(40\) | −0.654861 | − | 0.755750i | −0.103543 | − | 0.119494i | ||||
\(41\) | 8.69865 | + | 5.59028i | 1.35850 | + | 0.873055i | 0.998211 | − | 0.0597850i | \(-0.0190415\pi\) |
0.360290 | + | 0.932841i | \(0.382678\pi\) | |||||||
\(42\) | 0.437093 | − | 0.504432i | 0.0674449 | − | 0.0778355i | ||||
\(43\) | 11.0609 | − | 3.24778i | 1.68678 | − | 0.495283i | 0.709049 | − | 0.705159i | \(-0.249124\pi\) |
0.977728 | + | 0.209876i | \(0.0673061\pi\) | |||||||
\(44\) | −1.84014 | − | 4.02935i | −0.277412 | − | 0.607447i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −4.31433 | − | 2.09440i | −0.636114 | − | 0.308803i | ||||
\(47\) | 10.9066 | 1.59089 | 0.795445 | − | 0.606026i | \(-0.207237\pi\) | ||||
0.795445 | + | 0.606026i | \(0.207237\pi\) | |||||||
\(48\) | 0.415415 | + | 0.909632i | 0.0599600 | + | 0.131294i | ||||
\(49\) | 6.28900 | − | 1.84662i | 0.898428 | − | 0.263802i | ||||
\(50\) | 0.654861 | − | 0.755750i | 0.0926113 | − | 0.106879i | ||||
\(51\) | −3.33960 | − | 2.14623i | −0.467637 | − | 0.300532i | ||||
\(52\) | 0.807430 | + | 0.931824i | 0.111970 | + | 0.129221i | ||||
\(53\) | −0.349321 | − | 2.42958i | −0.0479829 | − | 0.333728i | −0.999647 | − | 0.0265861i | \(-0.991536\pi\) |
0.951664 | − | 0.307142i | \(-0.0993727\pi\) | |||||||
\(54\) | 0.959493 | + | 0.281733i | 0.130570 | + | 0.0383389i | ||||
\(55\) | 3.72646 | − | 2.39485i | 0.502475 | − | 0.322921i | ||||
\(56\) | 0.0949893 | − | 0.660665i | 0.0126935 | − | 0.0882851i | ||||
\(57\) | −1.46495 | + | 3.20780i | −0.194038 | + | 0.424884i | ||||
\(58\) | 2.80442 | − | 6.14081i | 0.368238 | − | 0.806328i | ||||
\(59\) | −0.637485 | + | 4.43381i | −0.0829935 | + | 0.577232i | 0.905312 | + | 0.424747i | \(0.139637\pi\) |
−0.988306 | + | 0.152486i | \(0.951272\pi\) | |||||||
\(60\) | −0.841254 | + | 0.540641i | −0.108605 | + | 0.0697964i | ||||
\(61\) | −1.47456 | − | 0.432969i | −0.188798 | − | 0.0554360i | 0.185967 | − | 0.982556i | \(-0.440458\pi\) |
−0.374765 | + | 0.927120i | \(0.622276\pi\) | |||||||
\(62\) | 1.31687 | + | 9.15905i | 0.167243 | + | 1.16320i | ||||
\(63\) | −0.437093 | − | 0.504432i | −0.0550685 | − | 0.0635524i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | −0.807430 | + | 0.931824i | −0.100149 | + | 0.115578i | ||||
\(66\) | −4.25021 | + | 1.24798i | −0.523165 | + | 0.153615i | ||||
\(67\) | −0.471056 | − | 1.03147i | −0.0575486 | − | 0.126014i | 0.878673 | − | 0.477424i | \(-0.158429\pi\) |
−0.936222 | + | 0.351410i | \(0.885702\pi\) | |||||||
\(68\) | −3.96979 | −0.481407 | ||||||||
\(69\) | −2.68708 | + | 3.97236i | −0.323486 | + | 0.478216i | ||||
\(70\) | 0.667459 | 0.0797766 | ||||||||
\(71\) | −5.53287 | − | 12.1153i | −0.656631 | − | 1.43782i | −0.885629 | − | 0.464394i | \(-0.846272\pi\) |
0.228998 | − | 0.973427i | \(-0.426455\pi\) | |||||||
\(72\) | 0.959493 | − | 0.281733i | 0.113077 | − | 0.0332025i | ||||
\(73\) | 5.26217 | − | 6.07286i | 0.615890 | − | 0.710775i | −0.359031 | − | 0.933326i | \(-0.616893\pi\) |
0.974921 | + | 0.222551i | \(0.0714383\pi\) | |||||||
\(74\) | −4.36371 | − | 2.80438i | −0.507270 | − | 0.326003i | ||||
\(75\) | −0.654861 | − | 0.755750i | −0.0756168 | − | 0.0872664i | ||||
\(76\) | 0.501871 | + | 3.49059i | 0.0575685 | + | 0.400398i | ||||
\(77\) | 2.83684 | + | 0.832972i | 0.323288 | + | 0.0949260i | ||||
\(78\) | 1.03725 | − | 0.666599i | 0.117445 | − | 0.0754775i | ||||
\(79\) | −1.20547 | + | 8.38421i | −0.135626 | + | 0.943297i | 0.802414 | + | 0.596768i | \(0.203549\pi\) |
−0.938039 | + | 0.346529i | \(0.887360\pi\) | |||||||
\(80\) | −0.415415 | + | 0.909632i | −0.0464448 | + | 0.101700i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 1.47155 | − | 10.2349i | 0.162506 | − | 1.13025i | ||||
\(83\) | −13.6578 | + | 8.77733i | −1.49914 | + | 0.963437i | −0.504131 | + | 0.863627i | \(0.668187\pi\) |
−0.995006 | + | 0.0998102i | \(0.968176\pi\) | |||||||
\(84\) | −0.640422 | − | 0.188045i | −0.0698758 | − | 0.0205174i | ||||
\(85\) | −0.564960 | − | 3.92938i | −0.0612785 | − | 0.426201i | ||||
\(86\) | −7.54917 | − | 8.71221i | −0.814048 | − | 0.939461i | ||||
\(87\) | −5.67920 | − | 3.64980i | −0.608874 | − | 0.391300i | ||||
\(88\) | −2.90080 | + | 3.34770i | −0.309226 | + | 0.356866i | ||||
\(89\) | 3.47640 | − | 1.02076i | 0.368498 | − | 0.108201i | −0.0922405 | − | 0.995737i | \(-0.529403\pi\) |
0.460738 | + | 0.887536i | \(0.347585\pi\) | |||||||
\(90\) | 0.415415 | + | 0.909632i | 0.0437886 | + | 0.0958836i | ||||
\(91\) | −0.822963 | −0.0862700 | ||||||||
\(92\) | −0.112895 | + | 4.79450i | −0.0117701 | + | 0.499861i | ||||
\(93\) | 9.25323 | 0.959515 | ||||||||
\(94\) | −4.53076 | − | 9.92098i | −0.467312 | − | 1.02327i | ||||
\(95\) | −3.38364 | + | 0.993525i | −0.347154 | + | 0.101934i | ||||
\(96\) | 0.654861 | − | 0.755750i | 0.0668364 | − | 0.0771334i | ||||
\(97\) | 9.72437 | + | 6.24947i | 0.987360 | + | 0.634538i | 0.931439 | − | 0.363897i | \(-0.118554\pi\) |
0.0559210 | + | 0.998435i | \(0.482191\pi\) | |||||||
\(98\) | −4.29228 | − | 4.95356i | −0.433586 | − | 0.500385i | ||||
\(99\) | 0.630404 | + | 4.38456i | 0.0633580 | + | 0.440665i | ||||
\(100\) | −0.959493 | − | 0.281733i | −0.0959493 | − | 0.0281733i | ||||
\(101\) | −7.25034 | + | 4.65951i | −0.721435 | + | 0.463638i | −0.849136 | − | 0.528174i | \(-0.822877\pi\) |
0.127701 | + | 0.991813i | \(0.459240\pi\) | |||||||
\(102\) | −0.564960 | + | 3.92938i | −0.0559393 | + | 0.389067i | ||||
\(103\) | −6.57722 | + | 14.4021i | −0.648072 | + | 1.41908i | 0.245159 | + | 0.969483i | \(0.421160\pi\) |
−0.893231 | + | 0.449598i | \(0.851567\pi\) | |||||||
\(104\) | 0.512198 | − | 1.12156i | 0.0502252 | − | 0.109978i | ||||
\(105\) | 0.0949893 | − | 0.660665i | 0.00927001 | − | 0.0644743i | ||||
\(106\) | −2.06491 | + | 1.32704i | −0.200562 | + | 0.128893i | ||||
\(107\) | 2.19334 | + | 0.644024i | 0.212039 | + | 0.0622601i | 0.386027 | − | 0.922488i | \(-0.373847\pi\) |
−0.173988 | + | 0.984748i | \(0.555665\pi\) | |||||||
\(108\) | −0.142315 | − | 0.989821i | −0.0136943 | − | 0.0952456i | ||||
\(109\) | −3.54487 | − | 4.09100i | −0.339537 | − | 0.391846i | 0.560144 | − | 0.828396i | \(-0.310746\pi\) |
−0.899680 | + | 0.436549i | \(0.856201\pi\) | |||||||
\(110\) | −3.72646 | − | 2.39485i | −0.355304 | − | 0.228340i | ||||
\(111\) | −3.39686 | + | 3.92018i | −0.322416 | + | 0.372087i | ||||
\(112\) | −0.640422 | + | 0.188045i | −0.0605142 | + | 0.0177686i | ||||
\(113\) | −2.84235 | − | 6.22388i | −0.267386 | − | 0.585493i | 0.727544 | − | 0.686061i | \(-0.240662\pi\) |
−0.994930 | + | 0.100567i | \(0.967934\pi\) | |||||||
\(114\) | 3.52648 | 0.330285 | ||||||||
\(115\) | −4.76177 | + | 0.570583i | −0.444037 | + | 0.0532072i | ||||
\(116\) | −6.75088 | −0.626803 | ||||||||
\(117\) | −0.512198 | − | 1.12156i | −0.0473527 | − | 0.103688i | ||||
\(118\) | 4.29795 | − | 1.26199i | 0.395659 | − | 0.116176i | ||||
\(119\) | 1.73516 | − | 2.00249i | 0.159062 | − | 0.183568i | ||||
\(120\) | 0.841254 | + | 0.540641i | 0.0767956 | + | 0.0493535i | ||||
\(121\) | −5.64605 | − | 6.51589i | −0.513278 | − | 0.592354i | ||||
\(122\) | 0.218711 | + | 1.52117i | 0.0198011 | + | 0.137720i | ||||
\(123\) | −9.92126 | − | 2.91314i | −0.894570 | − | 0.262669i | ||||
\(124\) | 7.78431 | − | 5.00267i | 0.699052 | − | 0.449253i | ||||
\(125\) | 0.142315 | − | 0.989821i | 0.0127290 | − | 0.0885323i | ||||
\(126\) | −0.277272 | + | 0.607142i | −0.0247014 | + | 0.0540885i | ||||
\(127\) | 3.00330 | − | 6.57630i | 0.266499 | − | 0.583552i | −0.728317 | − | 0.685240i | \(-0.759697\pi\) |
0.994816 | + | 0.101688i | \(0.0324244\pi\) | |||||||
\(128\) | 0.142315 | − | 0.989821i | 0.0125790 | − | 0.0874887i | ||||
\(129\) | −9.69789 | + | 6.23245i | −0.853851 | + | 0.548737i | ||||
\(130\) | 1.18304 | + | 0.347370i | 0.103759 | + | 0.0304664i | ||||
\(131\) | 2.97420 | + | 20.6860i | 0.259857 | + | 1.80735i | 0.533811 | + | 0.845604i | \(0.320759\pi\) |
−0.273953 | + | 0.961743i | \(0.588331\pi\) | |||||||
\(132\) | 2.90080 | + | 3.34770i | 0.252482 | + | 0.291380i | ||||
\(133\) | −1.98013 | − | 1.27255i | −0.171699 | − | 0.110344i | ||||
\(134\) | −0.742573 | + | 0.856975i | −0.0641485 | + | 0.0740314i | ||||
\(135\) | 0.959493 | − | 0.281733i | 0.0825800 | − | 0.0242477i | ||||
\(136\) | 1.64911 | + | 3.61105i | 0.141410 | + | 0.309645i | ||||
\(137\) | 10.9362 | 0.934342 | 0.467171 | − | 0.884167i | \(-0.345273\pi\) | ||||
0.467171 | + | 0.884167i | \(0.345273\pi\) | |||||||
\(138\) | 4.72963 | + | 0.794074i | 0.402613 | + | 0.0675961i | ||||
\(139\) | 5.74430 | 0.487225 | 0.243613 | − | 0.969873i | \(-0.421667\pi\) | ||||
0.243613 | + | 0.969873i | \(0.421667\pi\) | |||||||
\(140\) | −0.277272 | − | 0.607142i | −0.0234338 | − | 0.0513129i | ||||
\(141\) | −10.4648 | + | 3.07274i | −0.881295 | + | 0.258771i | ||||
\(142\) | −8.72202 | + | 10.0657i | −0.731936 | + | 0.844699i | ||||
\(143\) | 4.59464 | + | 2.95280i | 0.384223 | + | 0.246925i | ||||
\(144\) | −0.654861 | − | 0.755750i | −0.0545717 | − | 0.0629791i | ||||
\(145\) | −0.960750 | − | 6.68216i | −0.0797859 | − | 0.554923i | ||||
\(146\) | −7.71005 | − | 2.26388i | −0.638089 | − | 0.187360i | ||||
\(147\) | −5.51400 | + | 3.54363i | −0.454787 | + | 0.292274i | ||||
\(148\) | −0.738208 | + | 5.13435i | −0.0606803 | + | 0.422041i | ||||
\(149\) | −7.14425 | + | 15.6437i | −0.585280 | + | 1.28158i | 0.352973 | + | 0.935633i | \(0.385171\pi\) |
−0.938253 | + | 0.345950i | \(0.887557\pi\) | |||||||
\(150\) | −0.415415 | + | 0.909632i | −0.0339185 | + | 0.0742711i | ||||
\(151\) | −0.471269 | + | 3.27775i | −0.0383513 | + | 0.266739i | −0.999971 | − | 0.00764747i | \(-0.997566\pi\) |
0.961619 | + | 0.274387i | \(0.0884748\pi\) | |||||||
\(152\) | 2.96667 | − | 1.90656i | 0.240628 | − | 0.154643i | ||||
\(153\) | 3.80898 | + | 1.11842i | 0.307938 | + | 0.0904188i | ||||
\(154\) | −0.420769 | − | 2.92651i | −0.0339065 | − | 0.235825i | ||||
\(155\) | 6.05958 | + | 6.99313i | 0.486717 | + | 0.561701i | ||||
\(156\) | −1.03725 | − | 0.666599i | −0.0830463 | − | 0.0533706i | ||||
\(157\) | 5.28699 | − | 6.10151i | 0.421948 | − | 0.486954i | −0.504482 | − | 0.863422i | \(-0.668316\pi\) |
0.926429 | + | 0.376469i | \(0.122862\pi\) | |||||||
\(158\) | 8.12732 | − | 2.38640i | 0.646574 | − | 0.189851i | ||||
\(159\) | 1.01966 | + | 2.23275i | 0.0808645 | + | 0.177069i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −2.36915 | − | 2.15259i | −0.186716 | − | 0.169648i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 3.71278 | + | 8.12986i | 0.290807 | + | 0.636780i | 0.997494 | − | 0.0707469i | \(-0.0225383\pi\) |
−0.706687 | + | 0.707526i | \(0.749811\pi\) | |||||||
\(164\) | −9.92126 | + | 2.91314i | −0.774720 | + | 0.227478i | ||||
\(165\) | −2.90080 | + | 3.34770i | −0.225827 | + | 0.260618i | ||||
\(166\) | 13.6578 | + | 8.77733i | 1.06005 | + | 0.681253i | ||||
\(167\) | −9.50215 | − | 10.9661i | −0.735298 | − | 0.848579i | 0.257759 | − | 0.966209i | \(-0.417016\pi\) |
−0.993058 | + | 0.117630i | \(0.962470\pi\) | |||||||
\(168\) | 0.0949893 | + | 0.660665i | 0.00732858 | + | 0.0509714i | ||||
\(169\) | 11.0148 | + | 3.23422i | 0.847289 | + | 0.248786i | ||||
\(170\) | −3.33960 | + | 2.14623i | −0.256135 | + | 0.164608i | ||||
\(171\) | 0.501871 | − | 3.49059i | 0.0383790 | − | 0.266932i | ||||
\(172\) | −4.78886 | + | 10.4861i | −0.365147 | + | 0.799561i | ||||
\(173\) | −0.782982 | + | 1.71449i | −0.0595290 | + | 0.130350i | −0.937059 | − | 0.349172i | \(-0.886463\pi\) |
0.877530 | + | 0.479523i | \(0.159190\pi\) | |||||||
\(174\) | −0.960750 | + | 6.68216i | −0.0728343 | + | 0.506573i | ||||
\(175\) | 0.561502 | − | 0.360856i | 0.0424456 | − | 0.0272781i | ||||
\(176\) | 4.25021 | + | 1.24798i | 0.320372 | + | 0.0940697i | ||||
\(177\) | −0.637485 | − | 4.43381i | −0.0479163 | − | 0.333265i | ||||
\(178\) | −2.37267 | − | 2.73820i | −0.177839 | − | 0.205237i | ||||
\(179\) | −11.9836 | − | 7.70140i | −0.895697 | − | 0.575629i | 0.00981441 | − | 0.999952i | \(-0.496876\pi\) |
−0.905511 | + | 0.424323i | \(0.860512\pi\) | |||||||
\(180\) | 0.654861 | − | 0.755750i | 0.0488104 | − | 0.0563302i | ||||
\(181\) | −16.8712 | + | 4.95382i | −1.25402 | + | 0.368214i | −0.840267 | − | 0.542173i | \(-0.817602\pi\) |
−0.413756 | + | 0.910388i | \(0.635783\pi\) | |||||||
\(182\) | 0.341871 | + | 0.748594i | 0.0253412 | + | 0.0554894i | ||||
\(183\) | 1.53681 | 0.113604 | ||||||||
\(184\) | 4.40813 | − | 1.88902i | 0.324972 | − | 0.139260i | ||||
\(185\) | −5.18715 | −0.381367 | ||||||||
\(186\) | −3.84393 | − | 8.41703i | −0.281851 | − | 0.617167i | ||||
\(187\) | −16.8724 | + | 4.95420i | −1.23384 | + | 0.362287i | ||||
\(188\) | −7.14230 | + | 8.24265i | −0.520905 | + | 0.601157i | ||||
\(189\) | 0.561502 | + | 0.360856i | 0.0408433 | + | 0.0262484i | ||||
\(190\) | 2.30936 | + | 2.66514i | 0.167538 | + | 0.193349i | ||||
\(191\) | −0.800458 | − | 5.56731i | −0.0579191 | − | 0.402836i | −0.998071 | − | 0.0620810i | \(-0.980226\pi\) |
0.940152 | − | 0.340755i | \(-0.110683\pi\) | |||||||
\(192\) | −0.959493 | − | 0.281733i | −0.0692454 | − | 0.0203323i | ||||
\(193\) | 10.5668 | − | 6.79089i | 0.760617 | − | 0.488819i | −0.101932 | − | 0.994791i | \(-0.532503\pi\) |
0.862550 | + | 0.505972i | \(0.168866\pi\) | |||||||
\(194\) | 1.64507 | − | 11.4417i | 0.118109 | − | 0.821468i | ||||
\(195\) | 0.512198 | − | 1.12156i | 0.0366793 | − | 0.0803164i | ||||
\(196\) | −2.72284 | + | 5.96218i | −0.194488 | + | 0.425870i | ||||
\(197\) | 0.465605 | − | 3.23835i | 0.0331730 | − | 0.230723i | −0.966489 | − | 0.256707i | \(-0.917363\pi\) |
0.999662 | + | 0.0259834i | \(0.00827170\pi\) | |||||||
\(198\) | 3.72646 | − | 2.39485i | 0.264828 | − | 0.170194i | ||||
\(199\) | −12.4420 | − | 3.65330i | −0.881991 | − | 0.258976i | −0.190783 | − | 0.981632i | \(-0.561103\pi\) |
−0.691207 | + | 0.722656i | \(0.742921\pi\) | |||||||
\(200\) | 0.142315 | + | 0.989821i | 0.0100632 | + | 0.0699909i | ||||
\(201\) | 0.742573 | + | 0.856975i | 0.0523771 | + | 0.0604463i | ||||
\(202\) | 7.25034 | + | 4.65951i | 0.510132 | + | 0.327842i | ||||
\(203\) | 2.95076 | − | 3.40536i | 0.207103 | − | 0.239009i | ||||
\(204\) | 3.80898 | − | 1.11842i | 0.266682 | − | 0.0783050i | ||||
\(205\) | −4.29543 | − | 9.40569i | −0.300006 | − | 0.656922i | ||||
\(206\) | 15.8329 | 1.10313 | ||||||||
\(207\) | 1.45909 | − | 4.56849i | 0.101414 | − | 0.317532i | ||||
\(208\) | −1.23298 | −0.0854917 | ||||||||
\(209\) | 6.48923 | + | 14.2094i | 0.448869 | + | 0.982887i | ||||
\(210\) | −0.640422 | + | 0.188045i | −0.0441933 | + | 0.0129763i | ||||
\(211\) | −14.9662 | + | 17.2719i | −1.03031 | + | 1.18905i | −0.0485744 | + | 0.998820i | \(0.515468\pi\) |
−0.981740 | + | 0.190227i | \(0.939078\pi\) | |||||||
\(212\) | 2.06491 | + | 1.32704i | 0.141819 | + | 0.0911413i | ||||
\(213\) | 8.72202 | + | 10.0657i | 0.597623 | + | 0.689694i | ||||
\(214\) | −0.325323 | − | 2.26267i | −0.0222386 | − | 0.154673i | ||||
\(215\) | −11.0609 | − | 3.24778i | −0.754350 | − | 0.221497i | ||||
\(216\) | −0.841254 | + | 0.540641i | −0.0572401 | + | 0.0367859i | ||||
\(217\) | −0.878958 | + | 6.11329i | −0.0596676 | + | 0.414997i | ||||
\(218\) | −2.24871 | + | 4.92399i | −0.152302 | + | 0.333495i | ||||
\(219\) | −3.33809 | + | 7.30939i | −0.225567 | + | 0.493923i | ||||
\(220\) | −0.630404 | + | 4.38456i | −0.0425019 | + | 0.295607i | ||||
\(221\) | 4.11766 | − | 2.64626i | 0.276983 | − | 0.178006i | ||||
\(222\) | 4.97703 | + | 1.46139i | 0.334036 | + | 0.0980819i | ||||
\(223\) | −1.75818 | − | 12.2284i | −0.117736 | − | 0.818875i | −0.960038 | − | 0.279869i | \(-0.909709\pi\) |
0.842302 | − | 0.539006i | \(-0.181200\pi\) | |||||||
\(224\) | 0.437093 | + | 0.504432i | 0.0292045 | + | 0.0337038i | ||||
\(225\) | 0.841254 | + | 0.540641i | 0.0560836 | + | 0.0360427i | ||||
\(226\) | −4.48069 | + | 5.17099i | −0.298051 | + | 0.343969i | ||||
\(227\) | 1.07514 | − | 0.315688i | 0.0713592 | − | 0.0209530i | −0.245858 | − | 0.969306i | \(-0.579070\pi\) |
0.317217 | + | 0.948353i | \(0.397252\pi\) | |||||||
\(228\) | −1.46495 | − | 3.20780i | −0.0970190 | − | 0.212442i | ||||
\(229\) | 29.7937 | 1.96883 | 0.984413 | − | 0.175875i | \(-0.0562753\pi\) | ||||
0.984413 | + | 0.175875i | \(0.0562753\pi\) | |||||||
\(230\) | 2.49713 | + | 4.09443i | 0.164656 | + | 0.269979i | ||||
\(231\) | −2.95661 | −0.194530 | ||||||||
\(232\) | 2.80442 | + | 6.14081i | 0.184119 | + | 0.403164i | ||||
\(233\) | −4.60237 | + | 1.35138i | −0.301511 | + | 0.0885316i | −0.428989 | − | 0.903310i | \(-0.641130\pi\) |
0.127478 | + | 0.991841i | \(0.459312\pi\) | |||||||
\(234\) | −0.807430 | + | 0.931824i | −0.0527833 | + | 0.0609152i | ||||
\(235\) | −9.17521 | − | 5.89655i | −0.598524 | − | 0.384648i | ||||
\(236\) | −2.93338 | − | 3.38531i | −0.190947 | − | 0.220365i | ||||
\(237\) | −1.20547 | − | 8.38421i | −0.0783035 | − | 0.544613i | ||||
\(238\) | −2.54234 | − | 0.746498i | −0.164795 | − | 0.0483883i | ||||
\(239\) | 24.5497 | − | 15.7771i | 1.58799 | − | 1.02054i | 0.615337 | − | 0.788264i | \(-0.289020\pi\) |
0.972650 | − | 0.232274i | \(-0.0746165\pi\) | |||||||
\(240\) | 0.142315 | − | 0.989821i | 0.00918638 | − | 0.0638927i | ||||
\(241\) | 4.05196 | − | 8.87256i | 0.261010 | − | 0.571532i | −0.733074 | − | 0.680149i | \(-0.761915\pi\) |
0.994084 | + | 0.108617i | \(0.0346423\pi\) | |||||||
\(242\) | −3.58161 | + | 7.84263i | −0.230235 | + | 0.504143i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | 1.29285 | − | 0.830861i | 0.0827660 | − | 0.0531905i | ||||
\(245\) | −6.28900 | − | 1.84662i | −0.401789 | − | 0.117976i | ||||
\(246\) | 1.47155 | + | 10.2349i | 0.0938226 | + | 0.652551i | ||||
\(247\) | −2.84739 | − | 3.28606i | −0.181175 | − | 0.209087i | ||||
\(248\) | −7.78431 | − | 5.00267i | −0.494304 | − | 0.317670i | ||||
\(249\) | 10.6317 | − | 12.2696i | 0.673756 | − | 0.777556i | ||||
\(250\) | −0.959493 | + | 0.281733i | −0.0606837 | + | 0.0178183i | ||||
\(251\) | −4.81239 | − | 10.5377i | −0.303756 | − | 0.665132i | 0.694780 | − | 0.719222i | \(-0.255502\pi\) |
−0.998536 | + | 0.0540899i | \(0.982774\pi\) | |||||||
\(252\) | 0.667459 | 0.0420460 | ||||||||
\(253\) | 5.50360 | + | 20.5186i | 0.346008 | + | 1.28999i | ||||
\(254\) | −7.22963 | −0.453627 | ||||||||
\(255\) | 1.64911 | + | 3.61105i | 0.103271 | + | 0.226132i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | 10.5516 | − | 12.1772i | 0.658190 | − | 0.759592i | −0.324290 | − | 0.945958i | \(-0.605125\pi\) |
0.982480 | + | 0.186366i | \(0.0596709\pi\) | |||||||
\(258\) | 9.69789 | + | 6.23245i | 0.603764 | + | 0.388016i | ||||
\(259\) | −2.26726 | − | 2.61656i | −0.140881 | − | 0.162585i | ||||
\(260\) | −0.175471 | − | 1.22043i | −0.0108823 | − | 0.0756878i | ||||
\(261\) | 6.47742 | + | 1.90194i | 0.400942 | + | 0.117727i | ||||
\(262\) | 17.5811 | − | 11.2987i | 1.08617 | − | 0.698037i | ||||
\(263\) | −3.77561 | + | 26.2600i | −0.232814 | + | 1.61926i | 0.453020 | + | 0.891500i | \(0.350347\pi\) |
−0.685834 | + | 0.727758i | \(0.740562\pi\) | |||||||
\(264\) | 1.84014 | − | 4.02935i | 0.113253 | − | 0.247989i | ||||
\(265\) | −1.01966 | + | 2.23275i | −0.0626374 | + | 0.137157i | ||||
\(266\) | −0.334978 | + | 2.32982i | −0.0205388 | + | 0.142851i | ||||
\(267\) | −3.04800 | + | 1.95883i | −0.186535 | + | 0.119878i | ||||
\(268\) | 1.08801 | + | 0.319468i | 0.0664606 | + | 0.0195146i | ||||
\(269\) | 2.23860 | + | 15.5698i | 0.136490 | + | 0.949308i | 0.936836 | + | 0.349770i | \(0.113740\pi\) |
−0.800346 | + | 0.599539i | \(0.795351\pi\) | |||||||
\(270\) | −0.654861 | − | 0.755750i | −0.0398536 | − | 0.0459935i | ||||
\(271\) | −20.9212 | − | 13.4453i | −1.27087 | − | 0.816742i | −0.281141 | − | 0.959666i | \(-0.590713\pi\) |
−0.989734 | + | 0.142925i | \(0.954349\pi\) | |||||||
\(272\) | 2.59966 | − | 3.00017i | 0.157627 | − | 0.181912i | ||||
\(273\) | 0.789627 | − | 0.231855i | 0.0477904 | − | 0.0140325i | ||||
\(274\) | −4.54306 | − | 9.94791i | −0.274456 | − | 0.600975i | ||||
\(275\) | −4.42965 | −0.267118 | ||||||||
\(276\) | −1.24245 | − | 4.63210i | −0.0747865 | − | 0.278820i | ||||
\(277\) | 10.3857 | 0.624018 | 0.312009 | − | 0.950079i | \(-0.398998\pi\) | ||||
0.312009 | + | 0.950079i | \(0.398998\pi\) | |||||||
\(278\) | −2.38627 | − | 5.22520i | −0.143119 | − | 0.313387i | ||||
\(279\) | −8.87841 | + | 2.60694i | −0.531536 | + | 0.156073i | ||||
\(280\) | −0.437093 | + | 0.504432i | −0.0261213 | + | 0.0301456i | ||||
\(281\) | 6.12788 | + | 3.93815i | 0.365559 | + | 0.234930i | 0.710505 | − | 0.703692i | \(-0.248467\pi\) |
−0.344946 | + | 0.938622i | \(0.612103\pi\) | |||||||
\(282\) | 7.14230 | + | 8.24265i | 0.425318 | + | 0.490843i | ||||
\(283\) | −0.461321 | − | 3.20856i | −0.0274227 | − | 0.190729i | 0.971505 | − | 0.237017i | \(-0.0761698\pi\) |
−0.998928 | + | 0.0462883i | \(0.985261\pi\) | |||||||
\(284\) | 12.7794 | + | 3.75237i | 0.758317 | + | 0.222662i | ||||
\(285\) | 2.96667 | − | 1.90656i | 0.175730 | − | 0.112935i | ||||
\(286\) | 0.777276 | − | 5.40607i | 0.0459613 | − | 0.319668i | ||||
\(287\) | 2.86703 | − | 6.27791i | 0.169235 | − | 0.370573i | ||||
\(288\) | −0.415415 | + | 0.909632i | −0.0244786 | + | 0.0536006i | ||||
\(289\) | 0.176582 | − | 1.22816i | 0.0103872 | − | 0.0722445i | ||||
\(290\) | −5.67920 | + | 3.64980i | −0.333494 | + | 0.214324i | ||||
\(291\) | −11.0911 | − | 3.25665i | −0.650174 | − | 0.190908i | ||||
\(292\) | 1.14358 | + | 7.95376i | 0.0669228 | + | 0.465459i | ||||
\(293\) | −13.7528 | − | 15.8716i | −0.803449 | − | 0.927230i | 0.195116 | − | 0.980780i | \(-0.437492\pi\) |
−0.998565 | + | 0.0535504i | \(0.982946\pi\) | |||||||
\(294\) | 5.51400 | + | 3.54363i | 0.321583 | + | 0.206669i | ||||
\(295\) | 2.93338 | − | 3.38531i | 0.170788 | − | 0.197100i | ||||
\(296\) | 4.97703 | − | 1.46139i | 0.289284 | − | 0.0849414i | ||||
\(297\) | −1.84014 | − | 4.02935i | −0.106776 | − | 0.233806i | ||||
\(298\) | 17.1979 | 0.996245 | ||||||||
\(299\) | −3.07891 | − | 5.04834i | −0.178058 | − | 0.291953i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −3.19637 | − | 6.99907i | −0.184236 | − | 0.403420i | ||||
\(302\) | 3.17731 | − | 0.932944i | 0.182834 | − | 0.0536849i | ||||
\(303\) | 5.64391 | − | 6.51342i | 0.324234 | − | 0.374186i | ||||
\(304\) | −2.96667 | − | 1.90656i | −0.170150 | − | 0.109349i | ||||
\(305\) | 1.00640 | + | 1.16144i | 0.0576260 | + | 0.0665040i | ||||
\(306\) | −0.564960 | − | 3.92938i | −0.0322966 | − | 0.224628i | ||||
\(307\) | −8.60451 | − | 2.52651i | −0.491085 | − | 0.144196i | 0.0268084 | − | 0.999641i | \(-0.491466\pi\) |
−0.517894 | + | 0.855445i | \(0.673284\pi\) | |||||||
\(308\) | −2.48726 | + | 1.59846i | −0.141725 | + | 0.0910808i | ||||
\(309\) | 2.25325 | − | 15.6717i | 0.128183 | − | 0.891533i | ||||
\(310\) | 3.84393 | − | 8.41703i | 0.218321 | − | 0.478055i | ||||
\(311\) | 9.99301 | − | 21.8816i | 0.566652 | − | 1.24079i | −0.381910 | − | 0.924200i | \(-0.624733\pi\) |
0.948561 | − | 0.316594i | \(-0.102539\pi\) | |||||||
\(312\) | −0.175471 | + | 1.22043i | −0.00993410 | + | 0.0690932i | ||||
\(313\) | −14.5555 | + | 9.35427i | −0.822727 | + | 0.528735i | −0.882959 | − | 0.469450i | \(-0.844452\pi\) |
0.0602321 | + | 0.998184i | \(0.480816\pi\) | |||||||
\(314\) | −7.74643 | − | 2.27456i | −0.437156 | − | 0.128361i | ||||
\(315\) | 0.0949893 | + | 0.660665i | 0.00535204 | + | 0.0372243i | ||||
\(316\) | −5.54695 | − | 6.40152i | −0.312040 | − | 0.360114i | ||||
\(317\) | 0.916188 | + | 0.588798i | 0.0514582 | + | 0.0330702i | 0.566117 | − | 0.824325i | \(-0.308445\pi\) |
−0.514659 | + | 0.857395i | \(0.672081\pi\) | |||||||
\(318\) | 1.60740 | − | 1.85503i | 0.0901383 | − | 0.104025i | ||||
\(319\) | −28.6927 | + | 8.42493i | −1.60648 | + | 0.471705i | ||||
\(320\) | −0.415415 | − | 0.909632i | −0.0232224 | − | 0.0508500i | ||||
\(321\) | −2.28594 | −0.127589 | ||||||||
\(322\) | −0.973882 | + | 3.04928i | −0.0542723 | + | 0.169930i | ||||
\(323\) | 13.9994 | 0.778947 | ||||||||
\(324\) | 0.415415 | + | 0.909632i | 0.0230786 | + | 0.0505351i | ||||
\(325\) | 1.18304 | − | 0.347370i | 0.0656230 | − | 0.0192686i | ||||
\(326\) | 5.85283 | − | 6.75453i | 0.324158 | − | 0.374099i | ||||
\(327\) | 4.55384 | + | 2.92658i | 0.251828 | + | 0.161840i | ||||
\(328\) | 6.77133 | + | 7.81453i | 0.373884 | + | 0.431485i | ||||
\(329\) | −1.03601 | − | 7.20560i | −0.0571170 | − | 0.397258i | ||||
\(330\) | 4.25021 | + | 1.24798i | 0.233967 | + | 0.0686988i | ||||
\(331\) | 12.7362 | − | 8.18508i | 0.700047 | − | 0.449893i | −0.141598 | − | 0.989924i | \(-0.545224\pi\) |
0.841645 | + | 0.540031i | \(0.181588\pi\) | |||||||
\(332\) | 2.31049 | − | 16.0698i | 0.126805 | − | 0.881945i | ||||
\(333\) | 2.15482 | − | 4.71839i | 0.118083 | − | 0.258566i | ||||
\(334\) | −6.02775 | + | 13.1989i | −0.329824 | + | 0.722213i | ||||
\(335\) | −0.161377 | + | 1.12240i | −0.00881694 | + | 0.0613232i | ||||
\(336\) | 0.561502 | − | 0.360856i | 0.0306325 | − | 0.0196863i | ||||
\(337\) | −5.56098 | − | 1.63285i | −0.302926 | − | 0.0889471i | 0.126737 | − | 0.991936i | \(-0.459550\pi\) |
−0.429663 | + | 0.902989i | \(0.641368\pi\) | |||||||
\(338\) | −1.63374 | − | 11.3629i | −0.0888638 | − | 0.618061i | ||||
\(339\) | 4.48069 | + | 5.17099i | 0.243357 | + | 0.280849i | ||||
\(340\) | 3.33960 | + | 2.14623i | 0.181115 | + | 0.116396i | ||||
\(341\) | 26.8418 | − | 30.9771i | 1.45356 | − | 1.67750i | ||||
\(342\) | −3.38364 | + | 0.993525i | −0.182966 | + | 0.0537237i | ||||
\(343\) | −3.75829 | − | 8.22951i | −0.202929 | − | 0.444352i | ||||
\(344\) | 11.5279 | 0.621543 | ||||||||
\(345\) | 4.40813 | − | 1.88902i | 0.237326 | − | 0.101701i | ||||
\(346\) | 1.88482 | 0.101328 | ||||||||
\(347\) | −6.66499 | − | 14.5943i | −0.357795 | − | 0.783463i | −0.999859 | − | 0.0168109i | \(-0.994649\pi\) |
0.642063 | − | 0.766652i | \(-0.278079\pi\) | |||||||
\(348\) | 6.47742 | − | 1.90194i | 0.347226 | − | 0.101955i | ||||
\(349\) | 2.58830 | − | 2.98706i | 0.138549 | − | 0.159894i | −0.682235 | − | 0.731133i | \(-0.738992\pi\) |
0.820783 | + | 0.571240i | \(0.193537\pi\) | |||||||
\(350\) | −0.561502 | − | 0.360856i | −0.0300136 | − | 0.0192885i | ||||
\(351\) | 0.807430 | + | 0.931824i | 0.0430974 | + | 0.0497371i | ||||
\(352\) | −0.630404 | − | 4.38456i | −0.0336007 | − | 0.233698i | ||||
\(353\) | −35.3656 | − | 10.3843i | −1.88232 | − | 0.552699i | −0.995970 | − | 0.0896856i | \(-0.971414\pi\) |
−0.886351 | − | 0.463014i | \(-0.846768\pi\) | |||||||
\(354\) | −3.76831 | + | 2.42175i | −0.200283 | + | 0.128714i | ||||
\(355\) | −1.89548 | + | 13.1833i | −0.100601 | + | 0.699698i | ||||
\(356\) | −1.50512 | + | 3.29575i | −0.0797710 | + | 0.174674i | ||||
\(357\) | −1.10071 | + | 2.41022i | −0.0582559 | + | 0.127563i | ||||
\(358\) | −2.02727 | + | 14.0999i | −0.107144 | + | 0.745205i | ||||
\(359\) | 22.3589 | − | 14.3692i | 1.18006 | − | 0.758375i | 0.204659 | − | 0.978833i | \(-0.434392\pi\) |
0.975396 | + | 0.220458i | \(0.0707552\pi\) | |||||||
\(360\) | −0.959493 | − | 0.281733i | −0.0505697 | − | 0.0148486i | ||||
\(361\) | 0.934142 | + | 6.49710i | 0.0491654 | + | 0.341953i | ||||
\(362\) | 11.5147 | + | 13.2887i | 0.605198 | + | 0.698436i | ||||
\(363\) | 7.25309 | + | 4.66128i | 0.380688 | + | 0.244654i | ||||
\(364\) | 0.538926 | − | 0.621954i | 0.0282474 | − | 0.0325992i | ||||
\(365\) | −7.71005 | + | 2.26388i | −0.403563 | + | 0.118497i | ||||
\(366\) | −0.638413 | − | 1.39793i | −0.0333704 | − | 0.0730710i | ||||
\(367\) | −0.0196338 | −0.00102488 | −0.000512438 | − | 1.00000i | \(-0.500163\pi\) | ||||
−0.000512438 | 1.00000i | \(0.500163\pi\) | ||||||||
\(368\) | −3.54951 | − | 3.22505i | −0.185031 | − | 0.168117i | ||||
\(369\) | 10.3401 | 0.538284 | ||||||||
\(370\) | 2.15482 | + | 4.71839i | 0.112024 | + | 0.245298i | ||||
\(371\) | −1.57196 | + | 0.461568i | −0.0816119 | + | 0.0239634i | ||||
\(372\) | −6.05958 | + | 6.99313i | −0.314174 | + | 0.362577i | ||||
\(373\) | 8.76521 | + | 5.63306i | 0.453846 | + | 0.291669i | 0.747523 | − | 0.664236i | \(-0.231243\pi\) |
−0.293678 | + | 0.955905i | \(0.594879\pi\) | |||||||
\(374\) | 11.5156 | + | 13.2897i | 0.595456 | + | 0.687192i | ||||
\(375\) | 0.142315 | + | 0.989821i | 0.00734911 | + | 0.0511142i | ||||
\(376\) | 10.4648 | + | 3.07274i | 0.539681 | + | 0.158465i | ||||
\(377\) | 7.00233 | − | 4.50013i | 0.360639 | − | 0.231768i | ||||
\(378\) | 0.0949893 | − | 0.660665i | 0.00488572 | − | 0.0339809i | ||||
\(379\) | −3.67415 | + | 8.04527i | −0.188729 | + | 0.413258i | −0.980217 | − | 0.197926i | \(-0.936579\pi\) |
0.791488 | + | 0.611184i | \(0.209307\pi\) | |||||||
\(380\) | 1.46495 | − | 3.20780i | 0.0751506 | − | 0.164557i | ||||
\(381\) | −1.02888 | + | 7.15604i | −0.0527113 | + | 0.366615i | ||||
\(382\) | −4.73168 | + | 3.04087i | −0.242094 | + | 0.155584i | ||||
\(383\) | 22.9451 | + | 6.73728i | 1.17244 | + | 0.344259i | 0.809255 | − | 0.587458i | \(-0.199871\pi\) |
0.363184 | + | 0.931717i | \(0.381689\pi\) | |||||||
\(384\) | 0.142315 | + | 0.989821i | 0.00726247 | + | 0.0505116i | ||||
\(385\) | −1.93617 | − | 2.23445i | −0.0986761 | − | 0.113878i | ||||
\(386\) | −10.5668 | − | 6.79089i | −0.537838 | − | 0.345647i | ||||
\(387\) | 7.54917 | − | 8.71221i | 0.383746 | − | 0.442866i | ||||
\(388\) | −11.0911 | + | 3.25665i | −0.563067 | + | 0.165332i | ||||
\(389\) | 5.26049 | + | 11.5189i | 0.266717 | + | 0.584029i | 0.994844 | − | 0.101413i | \(-0.0323363\pi\) |
−0.728127 | + | 0.685442i | \(0.759609\pi\) | |||||||
\(390\) | −1.23298 | −0.0624343 | ||||||||
\(391\) | 18.7756 | + | 3.15231i | 0.949525 | + | 0.159419i | ||||
\(392\) | 6.55450 | 0.331052 | ||||||||
\(393\) | −8.68165 | − | 19.0102i | −0.437932 | − | 0.958936i | ||||
\(394\) | −3.13913 | + | 0.921732i | −0.158147 | + | 0.0464362i | ||||
\(395\) | 5.54695 | − | 6.40152i | 0.279097 | − | 0.322096i | ||||
\(396\) | −3.72646 | − | 2.39485i | −0.187261 | − | 0.120346i | ||||
\(397\) | −19.3681 | − | 22.3520i | −0.972059 | − | 1.12182i | −0.992527 | − | 0.122025i | \(-0.961061\pi\) |
0.0204683 | − | 0.999791i | \(-0.493484\pi\) | |||||||
\(398\) | 1.84544 | + | 12.8353i | 0.0925033 | + | 0.643375i | ||||
\(399\) | 2.25844 | + | 0.663137i | 0.113063 | + | 0.0331984i | ||||
\(400\) | 0.841254 | − | 0.540641i | 0.0420627 | − | 0.0270320i | ||||
\(401\) | −0.498563 | + | 3.46759i | −0.0248971 | + | 0.173163i | −0.998476 | − | 0.0551879i | \(-0.982424\pi\) |
0.973579 | + | 0.228351i | \(0.0733333\pi\) | |||||||
\(402\) | 0.471056 | − | 1.03147i | 0.0234941 | − | 0.0514450i | ||||
\(403\) | −4.73949 | + | 10.3780i | −0.236091 | + | 0.516967i | ||||
\(404\) | 1.22654 | − | 8.53077i | 0.0610226 | − | 0.424421i | ||||
\(405\) | −0.841254 | + | 0.540641i | −0.0418022 | + | 0.0268647i | ||||
\(406\) | −4.32341 | − | 1.26947i | −0.214567 | − | 0.0630026i | ||||
\(407\) | 3.27000 | + | 22.7433i | 0.162088 | + | 1.12735i | ||||
\(408\) | −2.59966 | − | 3.00017i | −0.128702 | − | 0.148530i | ||||
\(409\) | 11.4592 | + | 7.36440i | 0.566623 | + | 0.364146i | 0.792371 | − | 0.610039i | \(-0.208846\pi\) |
−0.225748 | + | 0.974186i | \(0.572483\pi\) | |||||||
\(410\) | −6.77133 | + | 7.81453i | −0.334412 | + | 0.385932i | ||||
\(411\) | −10.4932 | + | 3.08108i | −0.517591 | + | 0.151979i | ||||
\(412\) | −6.57722 | − | 14.4021i | −0.324036 | − | 0.709540i | ||||
\(413\) | 2.98982 | 0.147119 | ||||||||
\(414\) | −4.76177 | + | 0.570583i | −0.234028 | + | 0.0280426i | ||||
\(415\) | 16.2351 | 0.796947 | ||||||||
\(416\) | 0.512198 | + | 1.12156i | 0.0251126 | + | 0.0549889i | ||||
\(417\) | −5.51162 | + | 1.61836i | −0.269905 | + | 0.0792513i | ||||
\(418\) | 10.2296 | − | 11.8056i | 0.500347 | − | 0.577432i | ||||
\(419\) | 16.6356 | + | 10.6911i | 0.812703 | + | 0.522293i | 0.879738 | − | 0.475458i | \(-0.157718\pi\) |
−0.0670353 | + | 0.997751i | \(0.521354\pi\) | |||||||
\(420\) | 0.437093 | + | 0.504432i | 0.0213279 | + | 0.0246138i | ||||
\(421\) | −0.162747 | − | 1.13193i | −0.00793180 | − | 0.0551669i | 0.985471 | − | 0.169843i | \(-0.0543261\pi\) |
−0.993403 | + | 0.114676i | \(0.963417\pi\) | |||||||
\(422\) | 21.9282 | + | 6.43871i | 1.06745 | + | 0.313432i | ||||
\(423\) | 9.17521 | − | 5.89655i | 0.446114 | − | 0.286700i | ||||
\(424\) | 0.349321 | − | 2.42958i | 0.0169645 | − | 0.117991i | ||||
\(425\) | −1.64911 | + | 3.61105i | −0.0799936 | + | 0.175161i | ||||
\(426\) | 5.53287 | − | 12.1153i | 0.268068 | − | 0.586988i | ||||
\(427\) | −0.145980 | + | 1.01532i | −0.00706449 | + | 0.0491346i | ||||
\(428\) | −1.92306 | + | 1.23587i | −0.0929544 | + | 0.0597382i | ||||
\(429\) | −5.24043 | − | 1.53873i | −0.253010 | − | 0.0742905i | ||||
\(430\) | 1.64059 | + | 11.4106i | 0.0791163 | + | 0.550266i | ||||
\(431\) | 18.0430 | + | 20.8227i | 0.869099 | + | 1.00299i | 0.999933 | + | 0.0115893i | \(0.00368906\pi\) |
−0.130834 | + | 0.991404i | \(0.541765\pi\) | |||||||
\(432\) | 0.841254 | + | 0.540641i | 0.0404748 | + | 0.0260116i | ||||
\(433\) | −7.74073 | + | 8.93328i | −0.371996 | + | 0.429306i | −0.910623 | − | 0.413238i | \(-0.864398\pi\) |
0.538627 | + | 0.842544i | \(0.318943\pi\) | |||||||
\(434\) | 5.92597 | − | 1.74002i | 0.284456 | − | 0.0835238i | ||||
\(435\) | 2.80442 | + | 6.14081i | 0.134461 | + | 0.294429i | ||||
\(436\) | 5.41316 | 0.259244 | ||||||||
\(437\) | 0.398121 | − | 16.9077i | 0.0190447 | − | 0.808807i | ||||
\(438\) | 8.03555 | 0.383953 | ||||||||
\(439\) | 0.462196 | + | 1.01207i | 0.0220594 | + | 0.0483034i | 0.920341 | − | 0.391117i | \(-0.127911\pi\) |
−0.898282 | + | 0.439420i | \(0.855184\pi\) | |||||||
\(440\) | 4.25021 | − | 1.24798i | 0.202621 | − | 0.0594949i | ||||
\(441\) | 4.29228 | − | 4.95356i | 0.204394 | − | 0.235884i | ||||
\(442\) | −4.11766 | − | 2.64626i | −0.195857 | − | 0.125870i | ||||
\(443\) | −17.9572 | − | 20.7237i | −0.853171 | − | 0.984612i | 0.146819 | − | 0.989163i | \(-0.453097\pi\) |
−0.999990 | + | 0.00455147i | \(0.998551\pi\) | |||||||
\(444\) | −0.738208 | − | 5.13435i | −0.0350338 | − | 0.243665i | ||||
\(445\) | −3.47640 | − | 1.02076i | −0.164797 | − | 0.0483888i | ||||
\(446\) | −10.3930 | + | 6.67916i | −0.492122 | + | 0.316267i | ||||
\(447\) | 2.44751 | − | 17.0228i | 0.115763 | − | 0.805151i | ||||
\(448\) | 0.277272 | − | 0.607142i | 0.0130999 | − | 0.0286848i | ||||
\(449\) | 5.76590 | − | 12.6256i | 0.272110 | − | 0.595837i | −0.723407 | − | 0.690422i | \(-0.757425\pi\) |
0.995517 | + | 0.0945846i | \(0.0301523\pi\) | |||||||
\(450\) | 0.142315 | − | 0.989821i | 0.00670879 | − | 0.0466606i | ||||
\(451\) | −38.5319 | + | 24.7630i | −1.81440 | + | 1.16604i | ||||
\(452\) | 6.56504 | + | 1.92767i | 0.308793 | + | 0.0906699i | ||||
\(453\) | −0.471269 | − | 3.27775i | −0.0221421 | − | 0.154002i | ||||
\(454\) | −0.733787 | − | 0.846836i | −0.0344384 | − | 0.0397440i | ||||
\(455\) | 0.692321 | + | 0.444927i | 0.0324565 | + | 0.0208585i | ||||
\(456\) | −2.30936 | + | 2.66514i | −0.108145 | + | 0.124807i | ||||
\(457\) | 30.3902 | − | 8.92337i | 1.42159 | − | 0.417417i | 0.521551 | − | 0.853220i | \(-0.325354\pi\) |
0.900042 | + | 0.435803i | \(0.143535\pi\) | |||||||
\(458\) | −12.3768 | − | 27.1013i | −0.578328 | − | 1.26636i | ||||
\(459\) | −3.96979 | −0.185294 | ||||||||
\(460\) | 2.68708 | − | 3.97236i | 0.125286 | − | 0.185212i | ||||
\(461\) | 15.8841 | 0.739795 | 0.369898 | − | 0.929072i | \(-0.379393\pi\) | ||||
0.369898 | + | 0.929072i | \(0.379393\pi\) | |||||||
\(462\) | 1.22822 | + | 2.68942i | 0.0571419 | + | 0.125123i | ||||
\(463\) | 4.43306 | − | 1.30166i | 0.206022 | − | 0.0604934i | −0.177093 | − | 0.984194i | \(-0.556669\pi\) |
0.383115 | + | 0.923701i | \(0.374851\pi\) | |||||||
\(464\) | 4.42088 | − | 5.10197i | 0.205234 | − | 0.236853i | ||||
\(465\) | −7.78431 | − | 5.00267i | −0.360989 | − | 0.231993i | ||||
\(466\) | 3.14115 | + | 3.62508i | 0.145511 | + | 0.167928i | ||||
\(467\) | −3.51387 | − | 24.4395i | −0.162602 | − | 1.13092i | −0.893704 | − | 0.448657i | \(-0.851903\pi\) |
0.731102 | − | 0.682268i | \(-0.239006\pi\) | |||||||
\(468\) | 1.18304 | + | 0.347370i | 0.0546858 | + | 0.0160572i | ||||
\(469\) | −0.636710 | + | 0.409189i | −0.0294005 | + | 0.0188946i | ||||
\(470\) | −1.55217 | + | 10.7956i | −0.0715962 | + | 0.497963i | ||||
\(471\) | −3.35384 | + | 7.34388i | −0.154537 | + | 0.338388i | ||||
\(472\) | −1.86081 | + | 4.07461i | −0.0856507 | + | 0.187549i | ||||
\(473\) | −7.26724 | + | 50.5448i | −0.334148 | + | 2.32405i | ||||
\(474\) | −7.12578 | + | 4.57946i | −0.327298 | + | 0.210342i | ||||
\(475\) | 3.38364 | + | 0.993525i | 0.155252 | + | 0.0455861i | ||||
\(476\) | 0.377087 | + | 2.62270i | 0.0172838 | + | 0.120211i | ||||
\(477\) | −1.60740 | − | 1.85503i | −0.0735976 | − | 0.0849362i | ||||
\(478\) | −24.5497 | − | 15.7771i | −1.12288 | − | 0.721629i | ||||
\(479\) | −24.1453 | + | 27.8651i | −1.10323 | + | 1.27319i | −0.144300 | + | 0.989534i | \(0.546093\pi\) |
−0.958926 | + | 0.283657i | \(0.908452\pi\) | |||||||
\(480\) | −0.959493 | + | 0.281733i | −0.0437947 | + | 0.0128593i | ||||
\(481\) | −2.65685 | − | 5.81768i | −0.121142 | − | 0.265263i | ||||
\(482\) | −9.75401 | −0.444283 | ||||||||
\(483\) | 2.87964 | + | 1.39793i | 0.131028 | + | 0.0636079i | ||||
\(484\) | 8.62176 | 0.391898 | ||||||||
\(485\) | −4.80194 | − | 10.5148i | −0.218045 | − | 0.477452i | ||||
\(486\) | 0.959493 | − | 0.281733i | 0.0435235 | − | 0.0127796i | ||||
\(487\) | −19.2670 | + | 22.2353i | −0.873071 | + | 1.00758i | 0.126806 | + | 0.991928i | \(0.459527\pi\) |
−0.999878 | + | 0.0156505i | \(0.995018\pi\) | |||||||
\(488\) | −1.29285 | − | 0.830861i | −0.0585244 | − | 0.0376113i | ||||
\(489\) | −5.85283 | − | 6.75453i | −0.264674 | − | 0.305450i | ||||
\(490\) | 0.932802 | + | 6.48778i | 0.0421397 | + | 0.293088i | ||||
\(491\) | 31.1905 | + | 9.15836i | 1.40761 | + | 0.413311i | 0.895290 | − | 0.445484i | \(-0.146968\pi\) |
0.512319 | + | 0.858795i | \(0.328787\pi\) | |||||||
\(492\) | 8.69865 | − | 5.59028i | 0.392165 | − | 0.252029i | ||||
\(493\) | −3.81397 | + | 26.5268i | −0.171773 | + | 1.19471i | ||||
\(494\) | −1.80626 | + | 3.95515i | −0.0812674 | + | 0.177951i | ||||
\(495\) | 1.84014 | − | 4.02935i | 0.0827082 | − | 0.181106i | ||||
\(496\) | −1.31687 | + | 9.15905i | −0.0591293 | + | 0.411253i | ||||
\(497\) | −7.47859 | + | 4.80620i | −0.335460 | + | 0.215587i | ||||
\(498\) | −15.5774 | − | 4.57394i | −0.698041 | − | 0.204963i | ||||
\(499\) | −2.27573 | − | 15.8280i | −0.101876 | − | 0.708560i | −0.975185 | − | 0.221394i | \(-0.928939\pi\) |
0.873309 | − | 0.487167i | \(-0.161970\pi\) | |||||||
\(500\) | 0.654861 | + | 0.755750i | 0.0292863 | + | 0.0337981i | ||||
\(501\) | 12.2067 | + | 7.84480i | 0.545357 | + | 0.350480i | ||||
\(502\) | −7.58626 | + | 8.75501i | −0.338591 | + | 0.390755i | ||||
\(503\) | −17.5983 | + | 5.16732i | −0.784669 | + | 0.230399i | −0.649438 | − | 0.760415i | \(-0.724996\pi\) |
−0.135231 | + | 0.990814i | \(0.543178\pi\) | |||||||
\(504\) | −0.277272 | − | 0.607142i | −0.0123507 | − | 0.0270443i | ||||
\(505\) | 8.61849 | 0.383518 | ||||||||
\(506\) | 16.3781 | − | 13.5300i | 0.728093 | − | 0.601480i | ||||
\(507\) | −11.4798 | −0.509834 | ||||||||
\(508\) | 3.00330 | + | 6.57630i | 0.133250 | + | 0.291776i | ||||
\(509\) | −30.0304 | + | 8.81772i | −1.33107 | + | 0.390839i | −0.868477 | − | 0.495730i | \(-0.834901\pi\) |
−0.462597 | + | 0.886568i | \(0.653082\pi\) | |||||||
\(510\) | 2.59966 | − | 3.00017i | 0.115115 | − | 0.132850i | ||||
\(511\) | −4.51198 | − | 2.89967i | −0.199598 | − | 0.128274i | ||||
\(512\) | 0.654861 | + | 0.755750i | 0.0289410 | + | 0.0333997i | ||||
\(513\) | 0.501871 | + | 3.49059i | 0.0221581 | + | 0.154113i | ||||
\(514\) | −15.4600 | − | 4.53948i | −0.681913 | − | 0.200228i | ||||
\(515\) | 13.3195 | − | 8.55990i | 0.586926 | − | 0.377194i | ||||
\(516\) | 1.64059 | − | 11.4106i | 0.0722230 | − | 0.502322i | ||||
\(517\) | −20.0697 | + | 43.9464i | −0.882663 | + | 1.93276i | ||||
\(518\) | −1.43825 | + | 3.14933i | −0.0631932 | + | 0.138374i | ||||
\(519\) | 0.268238 | − | 1.86563i | 0.0117743 | − | 0.0818923i | ||||
\(520\) | −1.03725 | + | 0.666599i | −0.0454863 | + | 0.0292323i | ||||
\(521\) | 25.0426 | + | 7.35318i | 1.09714 | + | 0.322149i | 0.779714 | − | 0.626136i | \(-0.215364\pi\) |
0.317423 | + | 0.948284i | \(0.397183\pi\) | |||||||
\(522\) | −0.960750 | − | 6.68216i | −0.0420509 | − | 0.292470i | ||||
\(523\) | 19.6201 | + | 22.6428i | 0.857928 | + | 0.990102i | 1.00000 | 0.000245422i | \(7.81203e-5\pi\) | |
−0.142072 | + | 0.989856i | \(0.545376\pi\) | |||||||
\(524\) | −17.5811 | − | 11.2987i | −0.768036 | − | 0.493587i | ||||
\(525\) | −0.437093 | + | 0.504432i | −0.0190763 | + | 0.0220152i | ||||
\(526\) | 25.4553 | − | 7.47436i | 1.10991 | − | 0.325898i | ||||
\(527\) | −15.2596 | − | 33.4138i | −0.664718 | − | 1.45553i | ||||
\(528\) | −4.42965 | −0.192776 | ||||||||
\(529\) | 4.34114 | − | 22.5866i | 0.188745 | − | 0.982026i | ||||
\(530\) | 2.45456 | 0.106619 | ||||||||
\(531\) | 1.86081 | + | 4.07461i | 0.0807523 | + | 0.176823i | ||||
\(532\) | 2.25844 | − | 0.663137i | 0.0979157 | − | 0.0287506i | ||||
\(533\) | 8.34891 | − | 9.63515i | 0.361631 | − | 0.417345i | ||||
\(534\) | 3.04800 | + | 1.95883i | 0.131900 | + | 0.0847669i | ||||
\(535\) | −1.49697 | − | 1.72760i | −0.0647198 | − | 0.0746906i | ||||
\(536\) | −0.161377 | − | 1.12240i | −0.00697040 | − | 0.0484802i | ||||
\(537\) | 13.6679 | + | 4.01326i | 0.589814 | + | 0.173185i | ||||
\(538\) | 13.2328 | − | 8.50424i | 0.570509 | − | 0.366644i | ||||
\(539\) | −4.13198 | + | 28.7386i | −0.177977 | + | 1.23786i | ||||
\(540\) | −0.415415 | + | 0.909632i | −0.0178766 | + | 0.0391443i | ||||
\(541\) | 11.2100 | − | 24.5465i | 0.481956 | − | 1.05534i | −0.499966 | − | 0.866045i | \(-0.666654\pi\) |
0.981921 | − | 0.189290i | \(-0.0606187\pi\) | |||||||
\(542\) | −3.53925 | + | 24.6160i | −0.152024 | + | 1.05735i | ||||
\(543\) | 14.7921 | − | 9.50631i | 0.634790 | − | 0.407955i | ||||
\(544\) | −3.80898 | − | 1.11842i | −0.163309 | − | 0.0479518i | ||||
\(545\) | 0.770374 | + | 5.35807i | 0.0329992 | + | 0.229514i | ||||
\(546\) | −0.538926 | − | 0.621954i | −0.0230639 | − | 0.0266172i | ||||
\(547\) | −0.102451 | − | 0.0658412i | −0.00438048 | − | 0.00281516i | 0.538449 | − | 0.842658i | \(-0.319011\pi\) |
−0.542829 | + | 0.839843i | \(0.682647\pi\) | |||||||
\(548\) | −7.16168 | + | 8.26502i | −0.305932 | + | 0.353064i | ||||
\(549\) | −1.47456 | + | 0.432969i | −0.0629326 | + | 0.0184787i | ||||
\(550\) | 1.84014 | + | 4.02935i | 0.0784639 | + | 0.171812i | ||||
\(551\) | 23.8069 | 1.01421 | ||||||||
\(552\) | −3.69737 | + | 3.05441i | −0.157371 | + | 0.130004i | ||||
\(553\) | 5.65366 | 0.240418 | ||||||||
\(554\) | −4.31438 | − | 9.44719i | −0.183301 | − | 0.401372i | ||||
\(555\) | 4.97703 | − | 1.46139i | 0.211263 | − | 0.0620325i | ||||
\(556\) | −3.76172 | + | 4.34125i | −0.159532 | + | 0.184110i | ||||
\(557\) | 2.67238 | + | 1.71743i | 0.113232 | + | 0.0727699i | 0.596031 | − | 0.802961i | \(-0.296743\pi\) |
−0.482799 | + | 0.875731i | \(0.660380\pi\) | |||||||
\(558\) | 6.05958 | + | 6.99313i | 0.256522 | + | 0.296043i | ||||
\(559\) | −2.02282 | − | 14.0690i | −0.0855560 | − | 0.595055i | ||||
\(560\) | 0.640422 | + | 0.188045i | 0.0270628 | + | 0.00794635i | ||||
\(561\) | 14.7932 | − | 9.50704i | 0.624571 | − | 0.401387i | ||||
\(562\) | 1.03665 | − | 7.21008i | 0.0437286 | − | 0.304139i | ||||
\(563\) | −8.01454 | + | 17.5494i | −0.337773 | + | 0.739619i | −0.999953 | − | 0.00972598i | \(-0.996904\pi\) |
0.662180 | + | 0.749345i | \(0.269631\pi\) | |||||||
\(564\) | 4.53076 | − | 9.92098i | 0.190779 | − | 0.417749i | ||||
\(565\) | −0.973746 | + | 6.77255i | −0.0409658 | + | 0.284923i | ||||
\(566\) | −2.72697 | + | 1.75252i | −0.114623 | + | 0.0736637i | ||||
\(567\) | −0.640422 | − | 0.188045i | −0.0268952 | − | 0.00789714i | ||||
\(568\) | −1.89548 | − | 13.1833i | −0.0795324 | − | 0.553160i | ||||
\(569\) | −14.5216 | − | 16.7588i | −0.608775 | − | 0.702564i | 0.364760 | − | 0.931102i | \(-0.381151\pi\) |
−0.973535 | + | 0.228538i | \(0.926606\pi\) | |||||||
\(570\) | −2.96667 | − | 1.90656i | −0.124260 | − | 0.0798570i | ||||
\(571\) | 1.03286 | − | 1.19199i | 0.0432240 | − | 0.0498832i | −0.733726 | − | 0.679446i | \(-0.762220\pi\) |
0.776950 | + | 0.629562i | \(0.216766\pi\) | |||||||
\(572\) | −5.24043 | + | 1.53873i | −0.219113 | + | 0.0643374i | ||||
\(573\) | 2.33653 | + | 5.11628i | 0.0976098 | + | 0.213736i | ||||
\(574\) | −6.90160 | −0.288067 | ||||||||
\(575\) | 4.31433 | + | 2.09440i | 0.179920 | + | 0.0873426i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −1.96388 | − | 4.30031i | −0.0817576 | − | 0.179024i | 0.864338 | − | 0.502911i | \(-0.167738\pi\) |
−0.946096 | + | 0.323887i | \(0.895010\pi\) | |||||||
\(578\) | −1.19053 | + | 0.349570i | −0.0495193 | + | 0.0145402i | ||||
\(579\) | −8.22559 | + | 9.49284i | −0.341844 | + | 0.394509i | ||||
\(580\) | 5.67920 | + | 3.64980i | 0.235816 | + | 0.151550i | ||||
\(581\) | 7.09622 | + | 8.18948i | 0.294401 | + | 0.339757i | ||||
\(582\) | 1.64507 | + | 11.4417i | 0.0681904 | + | 0.474275i | ||||
\(583\) | 10.4324 | + | 3.06323i | 0.432067 | + | 0.126866i | ||||
\(584\) | 6.75993 | − | 4.34435i | 0.279728 | − | 0.179770i | ||||
\(585\) | −0.175471 | + | 1.22043i | −0.00725484 | + | 0.0504585i | ||||
\(586\) | −8.72420 | + | 19.1033i | −0.360393 | + | 0.789151i | ||||
\(587\) | −14.3205 | + | 31.3575i | −0.591071 | + | 1.29426i | 0.343722 | + | 0.939071i | \(0.388312\pi\) |
−0.934793 | + | 0.355193i | \(0.884415\pi\) | |||||||
\(588\) | 0.932802 | − | 6.48778i | 0.0384681 | − | 0.267552i | ||||
\(589\) | −27.4513 | + | 17.6418i | −1.13111 | + | 0.726920i | ||||
\(590\) | −4.29795 | − | 1.26199i | −0.176944 | − | 0.0519554i | ||||
\(591\) | 0.465605 | + | 3.23835i | 0.0191524 | + | 0.133208i | ||||
\(592\) | −3.39686 | − | 3.92018i | −0.139610 | − | 0.161119i | ||||
\(593\) | −33.7932 | − | 21.7176i | −1.38772 | − | 0.891834i | −0.388163 | − | 0.921591i | \(-0.626890\pi\) |
−0.999557 | + | 0.0297568i | \(0.990527\pi\) | |||||||
\(594\) | −2.90080 | + | 3.34770i | −0.119021 | + | 0.137358i | ||||
\(595\) | −2.54234 | + | 0.746498i | −0.104226 | + | 0.0306034i | ||||
\(596\) | −7.14425 | − | 15.6437i | −0.292640 | − | 0.640792i | ||||
\(597\) | 12.9673 | 0.530715 | ||||||||
\(598\) | −3.31311 | + | 4.89783i | −0.135483 | + | 0.200287i | ||||
\(599\) | −1.38028 | −0.0563967 | −0.0281983 | − | 0.999602i | \(-0.508977\pi\) | ||||
−0.0281983 | + | 0.999602i | \(0.508977\pi\) | |||||||
\(600\) | −0.415415 | − | 0.909632i | −0.0169592 | − | 0.0371356i | ||||
\(601\) | −40.0790 | + | 11.7683i | −1.63486 | + | 0.480037i | −0.964956 | − | 0.262413i | \(-0.915482\pi\) |
−0.669901 | + | 0.742450i | \(0.733664\pi\) | |||||||
\(602\) | −5.03876 | + | 5.81504i | −0.205365 | + | 0.237003i | ||||
\(603\) | −0.953931 | − | 0.613054i | −0.0388471 | − | 0.0249655i | ||||
\(604\) | −2.16854 | − | 2.50263i | −0.0882366 | − | 0.101830i | ||||
\(605\) | 1.22700 | + | 8.53401i | 0.0498848 | + | 0.346957i | ||||
\(606\) | −8.26938 | − | 2.42811i | −0.335921 | − | 0.0986352i | ||||
\(607\) | −0.987365 | + | 0.634541i | −0.0400759 | + | 0.0257552i | −0.560525 | − | 0.828137i | \(-0.689401\pi\) |
0.520449 | + | 0.853892i | \(0.325764\pi\) | |||||||
\(608\) | −0.501871 | + | 3.49059i | −0.0203536 | + | 0.141562i | ||||
\(609\) | −1.87183 | + | 4.09874i | −0.0758505 | + | 0.166089i | ||||
\(610\) | 0.638413 | − | 1.39793i | 0.0258486 | − | 0.0566005i | ||||
\(611\) | 1.91379 | − | 13.3107i | 0.0774238 | − | 0.538494i | ||||
\(612\) | −3.33960 | + | 2.14623i | −0.134995 | + | 0.0867562i | ||||
\(613\) | 1.90718 | + | 0.559999i | 0.0770304 | + | 0.0226182i | 0.320021 | − | 0.947411i | \(-0.396310\pi\) |
−0.242990 | + | 0.970029i | \(0.578128\pi\) | |||||||
\(614\) | 1.27625 | + | 8.87649i | 0.0515051 | + | 0.358226i | ||||
\(615\) | 6.77133 | + | 7.81453i | 0.273046 | + | 0.315112i | ||||
\(616\) | 2.48726 | + | 1.59846i | 0.100214 | + | 0.0644039i | ||||
\(617\) | −2.00629 | + | 2.31539i | −0.0807704 | + | 0.0932140i | −0.794696 | − | 0.607007i | \(-0.792370\pi\) |
0.713926 | + | 0.700221i | \(0.246915\pi\) | |||||||
\(618\) | −15.1915 | + | 4.46064i | −0.611093 | + | 0.179433i | ||||
\(619\) | 11.5366 | + | 25.2617i | 0.463696 | + | 1.01535i | 0.986630 | + | 0.162979i | \(0.0521103\pi\) |
−0.522934 | + | 0.852373i | \(0.675162\pi\) | |||||||
\(620\) | −9.25323 | −0.371619 | ||||||||
\(621\) | −0.112895 | + | 4.79450i | −0.00453030 | + | 0.192397i | ||||
\(622\) | −24.0555 | −0.964537 | ||||||||
\(623\) | −1.00460 | − | 2.19977i | −0.0402486 | − | 0.0881321i | ||||
\(624\) | 1.18304 | − | 0.347370i | 0.0473593 | − | 0.0139059i | ||||
\(625\) | −0.654861 | + | 0.755750i | −0.0261944 | + | 0.0302300i | ||||
\(626\) | 14.5555 | + | 9.35427i | 0.581756 | + | 0.373872i | ||||
\(627\) | −10.2296 | − | 11.8056i | −0.408532 | − | 0.471471i | ||||
\(628\) | 1.14897 | + | 7.99128i | 0.0458490 | + | 0.318887i | ||||
\(629\) | 19.7578 | + | 5.80140i | 0.787793 | + | 0.231317i | ||||
\(630\) | 0.561502 | − | 0.360856i | 0.0223708 | − | 0.0143768i | ||||
\(631\) | 5.26506 | − | 36.6193i | 0.209599 | − | 1.45779i | −0.564871 | − | 0.825179i | \(-0.691074\pi\) |
0.774469 | − | 0.632611i | \(-0.218017\pi\) | |||||||
\(632\) | −3.51874 | + | 7.70497i | −0.139968 | + | 0.306487i | ||||
\(633\) | 9.49389 | − | 20.7887i | 0.377348 | − | 0.826278i | ||||
\(634\) | 0.154992 | − | 1.07799i | 0.00615550 | − | 0.0428124i | ||||
\(635\) | −6.08195 | + | 3.90863i | −0.241355 | + | 0.155109i | ||||
\(636\) | −2.35514 | − | 0.691530i | −0.0933872 | − | 0.0274210i | ||||
\(637\) | −1.15013 | − | 7.99930i | −0.0455697 | − | 0.316944i | ||||
\(638\) | 19.5829 | + | 22.5999i | 0.775296 | + | 0.894740i | ||||
\(639\) | −11.2046 | − | 7.20074i | −0.443246 | − | 0.284857i | ||||
\(640\) | −0.654861 | + | 0.755750i | −0.0258856 | + | 0.0298736i | ||||
\(641\) | −22.4552 | + | 6.59345i | −0.886928 | + | 0.260426i | −0.693300 | − | 0.720649i | \(-0.743844\pi\) |
−0.193628 | + | 0.981075i | \(0.562026\pi\) | |||||||
\(642\) | 0.949614 | + | 2.07936i | 0.0374783 | + | 0.0820660i | ||||
\(643\) | −1.59213 | −0.0627874 | −0.0313937 | − | 0.999507i | \(-0.509995\pi\) | ||||
−0.0313937 | + | 0.999507i | \(0.509995\pi\) | |||||||
\(644\) | 3.17828 | − | 0.380841i | 0.125242 | − | 0.0150072i | ||||
\(645\) | 11.5279 | 0.453911 | ||||||||
\(646\) | −5.81556 | − | 12.7343i | −0.228810 | − | 0.501024i | ||||
\(647\) | 14.5636 | − | 4.27626i | 0.572554 | − | 0.168117i | 0.0173768 | − | 0.999849i | \(-0.494469\pi\) |
0.555177 | + | 0.831732i | \(0.312650\pi\) | |||||||
\(648\) | 0.654861 | − | 0.755750i | 0.0257254 | − | 0.0296886i | ||||
\(649\) | −16.6923 | − | 10.7275i | −0.655230 | − | 0.421090i | ||||
\(650\) | −0.807430 | − | 0.931824i | −0.0316700 | − | 0.0365491i | ||||
\(651\) | −0.878958 | − | 6.11329i | −0.0344491 | − | 0.239599i | ||||
\(652\) | −8.57549 | − | 2.51799i | −0.335842 | − | 0.0986122i | ||||
\(653\) | −9.35233 | + | 6.01038i | −0.365985 | + | 0.235204i | −0.710688 | − | 0.703508i | \(-0.751616\pi\) |
0.344703 | + | 0.938712i | \(0.387980\pi\) | |||||||
\(654\) | 0.770374 | − | 5.35807i | 0.0301240 | − | 0.209517i | ||||
\(655\) | 8.68165 | − | 19.0102i | 0.339220 | − | 0.742789i | ||||
\(656\) | 4.29543 | − | 9.40569i | 0.167709 | − | 0.367231i | ||||
\(657\) | 1.14358 | − | 7.95376i | 0.0446152 | − | 0.310306i | ||||
\(658\) | −6.12407 | + | 3.93570i | −0.238741 | + | 0.153430i | ||||
\(659\) | −1.06972 | − | 0.314097i | −0.0416702 | − | 0.0122355i | 0.260831 | − | 0.965384i | \(-0.416003\pi\) |
−0.302501 | + | 0.953149i | \(0.597822\pi\) | |||||||
\(660\) | −0.630404 | − | 4.38456i | −0.0245385 | − | 0.170669i | ||||
\(661\) | 3.88963 | + | 4.48887i | 0.151289 | + | 0.174597i | 0.826335 | − | 0.563179i | \(-0.190422\pi\) |
−0.675046 | + | 0.737776i | \(0.735876\pi\) | |||||||
\(662\) | −12.7362 | − | 8.18508i | −0.495008 | − | 0.318122i | ||||
\(663\) | −3.20532 | + | 3.69914i | −0.124484 | + | 0.143663i | ||||
\(664\) | −15.5774 | + | 4.57394i | −0.604521 | + | 0.177503i | ||||
\(665\) | 0.977797 | + | 2.14108i | 0.0379173 | + | 0.0830274i | ||||
\(666\) | −5.18715 | −0.200998 | ||||||||
\(667\) | 31.9292 | + | 5.36070i | 1.23630 | + | 0.207567i | ||||
\(668\) | 14.5102 | 0.561416 | ||||||||
\(669\) | 5.13210 | + | 11.2377i | 0.198418 | + | 0.434476i | ||||
\(670\) | 1.08801 | − | 0.319468i | 0.0420334 | − | 0.0123421i | ||||
\(671\) | 4.45798 | − | 5.14478i | 0.172098 | − | 0.198612i | ||||
\(672\) | −0.561502 | − | 0.360856i | −0.0216604 | − | 0.0139203i | ||||
\(673\) | −8.16216 | − | 9.41964i | −0.314628 | − | 0.363100i | 0.576305 | − | 0.817235i | \(-0.304494\pi\) |
−0.890933 | + | 0.454134i | \(0.849949\pi\) | |||||||
\(674\) | 0.824822 | + | 5.73676i | 0.0317709 | + | 0.220972i | ||||
\(675\) | −0.959493 | − | 0.281733i | −0.0369309 | − | 0.0108439i | ||||
\(676\) | −9.65739 | + | 6.20643i | −0.371438 | + | 0.238709i | ||||
\(677\) | −3.95811 | + | 27.5292i | −0.152122 | + | 1.05803i | 0.760531 | + | 0.649301i | \(0.224939\pi\) |
−0.912654 | + | 0.408733i | \(0.865971\pi\) | |||||||
\(678\) | 2.84235 | − | 6.22388i | 0.109160 | − | 0.239027i | ||||
\(679\) | 3.20510 | − | 7.01818i | 0.123000 | − | 0.269333i | ||||
\(680\) | 0.564960 | − | 3.92938i | 0.0216652 | − | 0.150685i | ||||
\(681\) | −0.942645 | + | 0.605801i | −0.0361222 | + | 0.0232144i | ||||
\(682\) | −39.3282 | − | 11.5478i | −1.50596 | − | 0.442188i | ||||
\(683\) | 0.832553 | + | 5.79054i | 0.0318568 | + | 0.221569i | 0.999531 | − | 0.0306363i | \(-0.00975336\pi\) |
−0.967674 | + | 0.252205i | \(0.918844\pi\) | |||||||
\(684\) | 2.30936 | + | 2.66514i | 0.0883004 | + | 0.101904i | ||||
\(685\) | −9.20011 | − | 5.91255i | −0.351518 | − | 0.225907i | ||||
\(686\) | −5.92457 | + | 6.83732i | −0.226201 | + | 0.261050i | ||||
\(687\) | −28.5869 | + | 8.39386i | −1.09066 | + | 0.320246i | ||||
\(688\) | −4.78886 | − | 10.4861i | −0.182574 | − | 0.399781i | ||||
\(689\) | −3.02643 | −0.115298 | ||||||||
\(690\) | −3.54951 | − | 3.22505i | −0.135128 | − | 0.122776i | ||||
\(691\) | −28.7419 | −1.09339 | −0.546697 | − | 0.837331i | \(-0.684115\pi\) | ||||
−0.546697 | + | 0.837331i | \(0.684115\pi\) | |||||||
\(692\) | −0.782982 | − | 1.71449i | −0.0297645 | − | 0.0651752i | ||||
\(693\) | 2.83684 | − | 0.832972i | 0.107763 | − | 0.0316420i | ||||
\(694\) | −10.5067 | + | 12.1254i | −0.398829 | + | 0.460273i | ||||
\(695\) | −4.83241 | − | 3.10560i | −0.183304 | − | 0.117802i | ||||
\(696\) | −4.42088 | − | 5.10197i | −0.167573 | − | 0.193390i | ||||
\(697\) | 5.84174 | + | 40.6302i | 0.221272 | + | 1.53898i | ||||
\(698\) | −3.79234 | − | 1.11353i | −0.143542 | − | 0.0421478i | ||||
\(699\) | 4.03521 | − | 2.59327i | 0.152626 | − | 0.0980866i | ||||
\(700\) | −0.0949893 | + | 0.660665i | −0.00359026 | + | 0.0249708i | ||||
\(701\) | −3.56000 | + | 7.79532i | −0.134460 | + | 0.294425i | −0.964870 | − | 0.262726i | \(-0.915378\pi\) |
0.830411 | + | 0.557151i | \(0.188106\pi\) | |||||||
\(702\) | 0.512198 | − | 1.12156i | 0.0193317 | − | 0.0423305i | ||||
\(703\) | 2.60328 | − | 18.1062i | 0.0981845 | − | 0.682888i | ||||
\(704\) | −3.72646 | + | 2.39485i | −0.140446 | + | 0.0902592i | ||||
\(705\) | 10.4648 | + | 3.07274i | 0.394127 | + | 0.115726i | ||||
\(706\) | 5.24553 | + | 36.4835i | 0.197418 | + | 1.37307i | ||||
\(707\) | 3.76708 | + | 4.34744i | 0.141676 | + | 0.163502i | ||||
\(708\) | 3.76831 | + | 2.42175i | 0.141622 | + | 0.0910148i | ||||
\(709\) | −16.4090 | + | 18.9370i | −0.616255 | + | 0.711196i | −0.974991 | − | 0.222243i | \(-0.928662\pi\) |
0.358737 | + | 0.933439i | \(0.383208\pi\) | |||||||
\(710\) | 12.7794 | − | 3.75237i | 0.479602 | − | 0.140824i | ||||
\(711\) | 3.51874 | + | 7.70497i | 0.131963 | + | 0.288959i | ||||
\(712\) | 3.62316 | 0.135784 | ||||||||
\(713\) | −40.7895 | + | 17.4795i | −1.52758 | + | 0.654612i | ||||
\(714\) | 2.64967 | 0.0991614 | ||||||||
\(715\) | −2.26886 | − | 4.96810i | −0.0848504 | − | 0.185796i | ||||
\(716\) | 13.6679 | − | 4.01326i | 0.510794 | − | 0.149983i | ||||
\(717\) | −19.1103 | + | 22.0545i | −0.713688 | + | 0.823640i | ||||
\(718\) | −22.3589 | − | 14.3692i | −0.834425 | − | 0.536252i | ||||
\(719\) | −30.1829 | − | 34.8329i | −1.12563 | − | 1.29905i | −0.949178 | − | 0.314741i | \(-0.898082\pi\) |
−0.176455 | − | 0.984309i | \(-0.556463\pi\) | |||||||
\(720\) | 0.142315 | + | 0.989821i | 0.00530376 | + | 0.0368885i | ||||
\(721\) | 10.1397 | + | 2.97729i | 0.377623 | + | 0.110880i | ||||
\(722\) | 5.52192 | − | 3.54872i | 0.205504 | − | 0.132070i | ||||
\(723\) | −1.38814 | + | 9.65472i | −0.0516255 | + | 0.359063i | ||||
\(724\) | 7.30441 | − | 15.9944i | 0.271466 | − | 0.594428i | ||||
\(725\) | −2.80442 | + | 6.14081i | −0.104153 | + | 0.228064i | ||||
\(726\) | 1.22700 | − | 8.53401i | 0.0455384 | − | 0.316727i | ||||
\(727\) | 7.30553 | − | 4.69498i | 0.270947 | − | 0.174127i | −0.398111 | − | 0.917337i | \(-0.630334\pi\) |
0.669058 | + | 0.743210i | \(0.266698\pi\) | |||||||
\(728\) | −0.789627 | − | 0.231855i | −0.0292655 | − | 0.00859314i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 5.26217 | + | 6.07286i | 0.194762 | + | 0.224767i | ||||
\(731\) | 38.4986 | + | 24.7415i | 1.42392 | + | 0.915098i | ||||
\(732\) | −1.00640 | + | 1.16144i | −0.0371975 | + | 0.0429281i | ||||
\(733\) | −1.50551 | + | 0.442057i | −0.0556072 | + | 0.0163277i | −0.309418 | − | 0.950926i | \(-0.600134\pi\) |
0.253811 | + | 0.967254i | \(0.418316\pi\) | |||||||
\(734\) | 0.00815617 | + | 0.0178595i | 0.000301050 | + | 0.000659207i | ||||
\(735\) | 6.55450 | 0.241766 | ||||||||
\(736\) | −1.45909 | + | 4.56849i | −0.0537827 | + | 0.168397i | ||||
\(737\) | 5.02295 | 0.185023 | ||||||||
\(738\) | −4.29543 | − | 9.40569i | −0.158117 | − | 0.346228i | ||||
\(739\) | −20.1142 | + | 5.90606i | −0.739912 | + | 0.217258i | −0.629904 | − | 0.776673i | \(-0.716906\pi\) |
−0.110008 | + | 0.993931i | \(0.535088\pi\) | |||||||
\(740\) | 3.39686 | − | 3.92018i | 0.124871 | − | 0.144109i | ||||
\(741\) | 3.65784 | + | 2.35075i | 0.134374 | + | 0.0863570i | ||||
\(742\) | 1.07287 | + | 1.23816i | 0.0393863 | + | 0.0454543i | ||||
\(743\) | −6.16939 | − | 42.9090i | −0.226333 | − | 1.57418i | −0.713363 | − | 0.700795i | \(-0.752829\pi\) |
0.487030 | − | 0.873385i | \(-0.338080\pi\) | |||||||
\(744\) | 8.87841 | + | 2.60694i | 0.325498 | + | 0.0955749i | ||||
\(745\) | 14.4678 | − | 9.29786i | 0.530058 | − | 0.340647i | ||||
\(746\) | 1.48281 | − | 10.3132i | 0.0542896 | − | 0.377592i | ||||
\(747\) | −6.74428 | + | 14.7679i | −0.246760 | + | 0.540330i | ||||
\(748\) | 7.30497 | − | 15.9957i | 0.267096 | − | 0.584859i | ||||
\(749\) | 0.217140 | − | 1.51024i | 0.00793412 | − | 0.0551830i | ||||
\(750\) | 0.841254 | − | 0.540641i | 0.0307182 | − | 0.0197414i | ||||
\(751\) | −4.03108 | − | 1.18363i | −0.147096 | − | 0.0431913i | 0.207356 | − | 0.978266i | \(-0.433514\pi\) |
−0.354452 | + | 0.935074i | \(0.615332\pi\) | |||||||
\(752\) | −1.55217 | − | 10.7956i | −0.0566018 | − | 0.393674i | ||||
\(753\) | 7.58626 | + | 8.75501i | 0.276459 | + | 0.319050i | ||||
\(754\) | −7.00233 | − | 4.50013i | −0.255010 | − | 0.163885i | ||||
\(755\) | 2.16854 | − | 2.50263i | 0.0789212 | − | 0.0910800i | ||||
\(756\) | −0.640422 | + | 0.188045i | −0.0232919 | + | 0.00683913i | ||||
\(757\) | −1.65813 | − | 3.63081i | −0.0602659 | − | 0.131964i | 0.877103 | − | 0.480303i | \(-0.159473\pi\) |
−0.937369 | + | 0.348339i | \(0.886746\pi\) | |||||||
\(758\) | 8.84454 | 0.321248 | ||||||||
\(759\) | −11.0614 | − | 18.1369i | −0.401504 | − | 0.658326i | ||||
\(760\) | −3.52648 | −0.127919 | ||||||||
\(761\) | 1.12519 | + | 2.46382i | 0.0407880 | + | 0.0893133i | 0.928929 | − | 0.370257i | \(-0.120731\pi\) |
−0.888141 | + | 0.459571i | \(0.848003\pi\) | |||||||
\(762\) | 6.93678 | − | 2.03682i | 0.251293 | − | 0.0737863i | ||||
\(763\) | −2.36605 | + | 2.73057i | −0.0856569 | + | 0.0988534i | ||||
\(764\) | 4.73168 | + | 3.04087i | 0.171186 | + | 0.110015i | ||||
\(765\) | −2.59966 | − | 3.00017i | −0.0939908 | − | 0.108471i | ||||
\(766\) | −3.40328 | − | 23.6704i | −0.122966 | − | 0.855245i | ||||
\(767\) | 5.29929 | + | 1.55601i | 0.191346 | + | 0.0561843i | ||||
\(768\) | 0.841254 | − | 0.540641i | 0.0303561 | − | 0.0195087i | ||||
\(769\) | −5.27623 | + | 36.6970i | −0.190266 | + | 1.32333i | 0.641038 | + | 0.767509i | \(0.278504\pi\) |
−0.831304 | + | 0.555818i | \(0.812405\pi\) | |||||||
\(770\) | −1.22822 | + | 2.68942i | −0.0442619 | + | 0.0969201i | ||||
\(771\) | −6.69347 | + | 14.6566i | −0.241059 | + | 0.527846i | ||||
\(772\) | −1.78759 | + | 12.4330i | −0.0643368 | + | 0.447472i | ||||
\(773\) | −7.89991 | + | 5.07696i | −0.284140 | + | 0.182606i | −0.674945 | − | 0.737868i | \(-0.735833\pi\) |
0.390805 | + | 0.920473i | \(0.372197\pi\) | |||||||
\(774\) | −11.0609 | − | 3.24778i | −0.397577 | − | 0.116739i | ||||
\(775\) | −1.31687 | − | 9.15905i | −0.0473034 | − | 0.329003i | ||||
\(776\) | 7.56978 | + | 8.73600i | 0.271739 | + | 0.313604i | ||||
\(777\) | 2.91259 | + | 1.87181i | 0.104489 | + | 0.0671508i | ||||
\(778\) | 8.29264 | − | 9.57021i | 0.297305 | − | 0.343109i | ||||
\(779\) | 34.9872 | − | 10.2732i | 1.25354 | − | 0.368074i | ||||
\(780\) | 0.512198 | + | 1.12156i | 0.0183396 | + | 0.0401582i | ||||
\(781\) | 58.9980 | 2.11111 | ||||||||
\(782\) | −4.93225 | − | 18.3884i | −0.176377 | − | 0.657569i | ||||
\(783\) | −6.75088 | −0.241257 | ||||||||
\(784\) | −2.72284 | − | 5.96218i | −0.0972442 | − | 0.212935i | ||||
\(785\) | −7.74643 | + | 2.27456i | −0.276482 | + | 0.0811824i | ||||
\(786\) | −13.6858 | + | 15.7942i | −0.488155 | + | 0.563361i | ||||
\(787\) | −34.6173 | − | 22.2472i | −1.23397 | − | 0.793026i | −0.249468 | − | 0.968383i | \(-0.580256\pi\) |
−0.984505 | + | 0.175357i | \(0.943892\pi\) | |||||||
\(788\) | 2.14248 | + | 2.47255i | 0.0763226 | + | 0.0880810i | ||||
\(789\) | −3.77561 | − | 26.2600i | −0.134415 | − | 0.934879i | ||||
\(790\) | −8.12732 | − | 2.38640i | −0.289157 | − | 0.0849041i | ||||
\(791\) | −3.84191 | + | 2.46904i | −0.136603 | + | 0.0877891i | ||||
\(792\) | −0.630404 | + | 4.38456i | −0.0224004 | + | 0.155799i | ||||
\(793\) | −0.787151 | + | 1.72362i | −0.0279525 | + | 0.0612075i | ||||
\(794\) | −12.2863 | + | 26.9032i | −0.436024 | + | 0.954760i | ||||
\(795\) | 0.349321 | − | 2.42958i | 0.0123891 | − | 0.0861683i | ||||
\(796\) | 10.9088 | − | 7.01064i | 0.386651 | − | 0.248485i | ||||
\(797\) | −46.5645 | − | 13.6726i | −1.64940 | − | 0.484307i | −0.680704 | − | 0.732559i | \(-0.738326\pi\) |
−0.968696 | + | 0.248252i | \(0.920144\pi\) | |||||||
\(798\) | −0.334978 | − | 2.32982i | −0.0118581 | − | 0.0824749i | ||||
\(799\) | 28.3534 | + | 32.7216i | 1.00307 | + | 1.15761i | ||||
\(800\) | −0.841254 | − | 0.540641i | −0.0297428 | − | 0.0191145i | ||||
\(801\) | 2.37267 | − | 2.73820i | 0.0838341 | − | 0.0967497i | ||||
\(802\) | 3.36134 | − | 0.986978i | 0.118693 | − | 0.0348514i | ||||
\(803\) | 14.7865 | + | 32.3780i | 0.521806 | + | 1.14260i | ||||
\(804\) | −1.13394 | −0.0399910 | ||||||||
\(805\) | 0.829282 | + | 3.09173i | 0.0292283 | + | 0.108969i | ||||
\(806\) | 11.4090 | 0.401866 | ||||||||
\(807\) | −6.53444 | − | 14.3084i | −0.230023 | − | 0.503681i | ||||
\(808\) | −8.26938 | + | 2.42811i | −0.290916 | + | 0.0854206i | ||||
\(809\) | 8.75390 | − | 10.1025i | 0.307771 | − | 0.355186i | −0.580702 | − | 0.814116i | \(-0.697222\pi\) |
0.888472 | + | 0.458930i | \(0.151767\pi\) | |||||||
\(810\) | 0.841254 | + | 0.540641i | 0.0295586 | + | 0.0189962i | ||||
\(811\) | 12.9953 | + | 14.9973i | 0.456325 | + | 0.526628i | 0.936558 | − | 0.350514i | \(-0.113993\pi\) |
−0.480232 | + | 0.877141i | \(0.659448\pi\) | |||||||
\(812\) | 0.641261 | + | 4.46007i | 0.0225039 | + | 0.156518i | ||||
\(813\) | 23.8617 | + | 7.00644i | 0.836868 | + | 0.245727i | ||||
\(814\) | 19.3297 | − | 12.4224i | 0.677505 | − | 0.435406i | ||||
\(815\) | 1.27194 | − | 8.84655i | 0.0445542 | − | 0.309881i | ||||
\(816\) | −1.64911 | + | 3.61105i | −0.0577304 | + | 0.126412i | ||||
\(817\) | 16.8878 | − | 36.9792i | 0.590831 | − | 1.29374i | ||||
\(818\) | 1.93856 | − | 13.4830i | 0.0677801 | − | 0.471421i | ||||
\(819\) | −0.692321 | + | 0.444927i | −0.0241916 | + | 0.0155470i | ||||
\(820\) | 9.92126 | + | 2.91314i | 0.346465 | + | 0.101731i | ||||
\(821\) | 5.13316 | + | 35.7019i | 0.179149 | + | 1.24601i | 0.858739 | + | 0.512413i | \(0.171248\pi\) |
−0.679590 | + | 0.733592i | \(0.737842\pi\) | |||||||
\(822\) | 7.16168 | + | 8.26502i | 0.249792 | + | 0.288276i | ||||
\(823\) | 27.6347 | + | 17.7598i | 0.963286 | + | 0.619066i | 0.924906 | − | 0.380197i | \(-0.124144\pi\) |
0.0383806 | + | 0.999263i | \(0.487780\pi\) | |||||||
\(824\) | −10.3683 | + | 11.9657i | −0.361198 | + | 0.416845i | ||||
\(825\) | 4.25021 | − | 1.24798i | 0.147973 | − | 0.0434489i | ||||
\(826\) | −1.24201 | − | 2.71963i | −0.0432152 | − | 0.0946281i | ||||
\(827\) | −34.5871 | −1.20271 | −0.601355 | − | 0.798982i | \(-0.705372\pi\) | ||||
−0.601355 | + | 0.798982i | \(0.705372\pi\) | |||||||
\(828\) | 2.49713 | + | 4.09443i | 0.0867813 | + | 0.142291i | ||||
\(829\) | 43.0246 | 1.49431 | 0.747153 | − | 0.664652i | \(-0.231420\pi\) | ||||
0.747153 | + | 0.664652i | \(0.231420\pi\) | |||||||
\(830\) | −6.74428 | − | 14.7679i | −0.234098 | − | 0.512602i | ||||
\(831\) | −9.96503 | + | 2.92600i | −0.345683 | + | 0.101502i | ||||
\(832\) | 0.807430 | − | 0.931824i | 0.0279926 | − | 0.0323052i | ||||
\(833\) | 21.8894 | + | 14.0675i | 0.758422 | + | 0.487408i | ||||
\(834\) | 3.76172 | + | 4.34125i | 0.130258 | + | 0.150325i | ||||
\(835\) | 2.06501 | + | 14.3625i | 0.0714628 | + | 0.497034i | ||||
\(836\) | −14.9883 | − | 4.40096i | −0.518382 | − | 0.152211i | ||||
\(837\) | 7.78431 | − | 5.00267i | 0.269065 | − | 0.172918i | ||||
\(838\) | 2.81425 | − | 19.5735i | 0.0972166 | − | 0.676156i | ||||
\(839\) | 5.98278 | − | 13.1005i | 0.206548 | − | 0.452278i | −0.777800 | − | 0.628512i | \(-0.783664\pi\) |
0.984348 | + | 0.176234i | \(0.0563915\pi\) | |||||||
\(840\) | 0.277272 | − | 0.607142i | 0.00956681 | − | 0.0209484i | ||||
\(841\) | −2.35877 | + | 16.4056i | −0.0813370 | + | 0.565711i | ||||
\(842\) | −0.962032 | + | 0.618261i | −0.0331538 | + | 0.0213067i | ||||
\(843\) | −6.98916 | − | 2.05220i | −0.240720 | − | 0.0706816i | ||||
\(844\) | −3.25246 | − | 22.6214i | −0.111954 | − | 0.778660i | ||||
\(845\) | −7.51765 | − | 8.67583i | −0.258615 | − | 0.298457i | ||||
\(846\) | −9.17521 | − | 5.89655i | −0.315450 | − | 0.202727i | ||||
\(847\) | −3.76851 | + | 4.34909i | −0.129487 | + | 0.149437i | ||||
\(848\) | −2.35514 | + | 0.691530i | −0.0808757 | + | 0.0237472i | ||||
\(849\) | 1.34659 | + | 2.94862i | 0.0462148 | + | 0.101196i | ||||
\(850\) | 3.96979 | 0.136163 | ||||||||
\(851\) | 7.56851 | − | 23.6974i | 0.259445 | − | 0.812336i | ||||
\(852\) | −13.3189 | −0.456298 | ||||||||
\(853\) | −21.0641 | − | 46.1239i | −0.721220 | − | 1.57925i | −0.812186 | − | 0.583398i | \(-0.801723\pi\) |
0.0909658 | − | 0.995854i | \(-0.471005\pi\) | |||||||
\(854\) | 0.984206 | − | 0.288989i | 0.0336788 | − | 0.00988900i | ||||
\(855\) | −2.30936 | + | 2.66514i | −0.0789783 | + | 0.0911458i | ||||
\(856\) | 1.92306 | + | 1.23587i | 0.0657287 | + | 0.0422413i | ||||
\(857\) | −27.8652 | − | 32.1581i | −0.951856 | − | 1.09850i | −0.995044 | − | 0.0994329i | \(-0.968297\pi\) |
0.0431888 | − | 0.999067i | \(-0.486248\pi\) | |||||||
\(858\) | 0.777276 | + | 5.40607i | 0.0265357 | + | 0.184560i | ||||
\(859\) | −8.22571 | − | 2.41529i | −0.280657 | − | 0.0824085i | 0.138374 | − | 0.990380i | \(-0.455812\pi\) |
−0.419032 | + | 0.907972i | \(0.637630\pi\) | |||||||
\(860\) | 9.69789 | − | 6.23245i | 0.330695 | − | 0.212525i | ||||
\(861\) | −0.982199 | + | 6.83135i | −0.0334733 | + | 0.232812i | ||||
\(862\) | 11.4457 | − | 25.0625i | 0.389841 | − | 0.853633i | ||||
\(863\) | 11.6331 | − | 25.4730i | 0.395997 | − | 0.867112i | −0.601664 | − | 0.798750i | \(-0.705495\pi\) |
0.997661 | − | 0.0683627i | \(-0.0217775\pi\) | |||||||
\(864\) | 0.142315 | − | 0.989821i | 0.00484165 | − | 0.0336744i | ||||
\(865\) | 1.58561 | − | 1.01901i | 0.0539124 | − | 0.0346474i | ||||
\(866\) | 11.3416 | + | 3.33020i | 0.385404 | + | 0.113165i | ||||
\(867\) | 0.176582 | + | 1.22816i | 0.00599705 | + | 0.0417104i | ||||
\(868\) | −4.04452 | − | 4.66762i | −0.137280 | − | 0.158429i | ||||
\(869\) | −31.5647 | − | 20.2854i | −1.07076 | − | 0.688134i | ||||
\(870\) | 4.42088 | − | 5.10197i | 0.149882 | − | 0.172973i | ||||
\(871\) | −1.34149 | + | 0.393897i | −0.0454547 | + | 0.0133467i | ||||
\(872\) | −2.24871 | − | 4.92399i | −0.0761509 | − | 0.166747i | ||||
\(873\) | 11.5594 | 0.391226 | ||||||||
\(874\) | −15.5452 | + | 6.66158i | −0.525824 | + | 0.225331i | ||||
\(875\) | −0.667459 | −0.0225642 | ||||||||
\(876\) | −3.33809 | − | 7.30939i | −0.112784 | − | 0.246962i | ||||
\(877\) | −11.6766 | + | 3.42854i | −0.394289 | + | 0.115774i | −0.472866 | − | 0.881134i | \(-0.656781\pi\) |
0.0785770 | + | 0.996908i | \(0.474962\pi\) | |||||||
\(878\) | 0.728606 | − | 0.840857i | 0.0245893 | − | 0.0283775i | ||||
\(879\) | 17.6673 | + | 11.3541i | 0.595903 | + | 0.382964i | ||||
\(880\) | −2.90080 | − | 3.34770i | −0.0977860 | − | 0.112851i | ||||
\(881\) | −0.240192 | − | 1.67057i | −0.00809227 | − | 0.0562830i | 0.985375 | − | 0.170399i | \(-0.0545056\pi\) |
−0.993467 | + | 0.114116i | \(0.963596\pi\) | |||||||
\(882\) | −6.28900 | − | 1.84662i | −0.211761 | − | 0.0621788i | ||||
\(883\) | 34.0498 | − | 21.8825i | 1.14587 | − | 0.736405i | 0.177056 | − | 0.984201i | \(-0.443343\pi\) |
0.968812 | + | 0.247796i | \(0.0797064\pi\) | |||||||
\(884\) | −0.696584 | + | 4.84485i | −0.0234286 | + | 0.162950i | ||||
\(885\) | −1.86081 | + | 4.07461i | −0.0625505 | + | 0.136966i | ||||
\(886\) | −11.3912 | + | 24.9434i | −0.382696 | + | 0.837988i | ||||
\(887\) | 6.07888 | − | 42.2795i | 0.204109 | − | 1.41961i | −0.587819 | − | 0.808993i | \(-0.700013\pi\) |
0.791927 | − | 0.610615i | \(-0.209078\pi\) | |||||||
\(888\) | −4.36371 | + | 2.80438i | −0.146436 | + | 0.0941089i | ||||
\(889\) | −4.63001 | − | 1.35949i | −0.155286 | − | 0.0455960i | ||||
\(890\) | 0.515630 | + | 3.58629i | 0.0172840 | + | 0.120213i | ||||
\(891\) | 2.90080 | + | 3.34770i | 0.0971805 | + | 0.112152i | ||||
\(892\) | 10.3930 | + | 6.67916i | 0.347983 | + | 0.223635i | ||||
\(893\) | 25.1872 | − | 29.0676i | 0.842857 | − | 0.972709i | ||||
\(894\) | −16.5012 | + | 4.84520i | −0.551884 | + | 0.162048i | ||||
\(895\) | 5.91756 | + | 12.9577i | 0.197802 | + | 0.433127i | ||||
\(896\) | −0.667459 | −0.0222982 | ||||||||
\(897\) | 4.37648 | + | 3.97642i | 0.146126 | + | 0.132769i | ||||
\(898\) | −13.8799 | −0.463177 | ||||||||
\(899\) | −25.9499 | − | 56.8224i | −0.865478 | − | 1.89513i | ||||
\(900\) | −0.959493 | + | 0.281733i | −0.0319831 | + | 0.00939109i | ||||
\(901\) | 6.38102 | − | 7.36409i | 0.212583 | − | 0.245334i | ||||
\(902\) | 38.5319 | + | 24.7630i | 1.28297 | + | 0.824517i | ||||
\(903\) | 5.03876 | + | 5.81504i | 0.167679 | + | 0.193512i | ||||
\(904\) | −0.973746 | − | 6.77255i | −0.0323863 | − | 0.225252i | ||||
\(905\) | 16.8712 | + | 4.95382i | 0.560816 | + | 0.164670i | ||||
\(906\) | −2.78577 | + | 1.79031i | −0.0925510 | + | 0.0594789i | ||||
\(907\) | −7.98381 | + | 55.5286i | −0.265098 | + | 1.84380i | 0.227796 | + | 0.973709i | \(0.426848\pi\) |
−0.492894 | + | 0.870089i | \(0.664061\pi\) | |||||||
\(908\) | −0.465483 | + | 1.01926i | −0.0154476 | + | 0.0338255i | ||||
\(909\) | −3.58025 | + | 7.83965i | −0.118749 | + | 0.260025i | ||||
\(910\) | 0.117120 | − | 0.814586i | 0.00388249 | − | 0.0270033i | ||||
\(911\) | −13.9278 | + | 8.95084i | −0.461448 | + | 0.296555i | −0.750634 | − | 0.660718i | \(-0.770252\pi\) |
0.289186 | + | 0.957273i | \(0.406615\pi\) | |||||||
\(912\) | 3.38364 | + | 0.993525i | 0.112043 | + | 0.0328989i | ||||
\(913\) | −10.2346 | − | 71.1835i | −0.338717 | − | 2.35583i | ||||
\(914\) | −20.7415 | − | 23.9370i | −0.686069 | − | 0.791765i | ||||
\(915\) | −1.29285 | − | 0.830861i | −0.0427402 | − | 0.0274674i | ||||
\(916\) | −19.5107 | + | 22.5166i | −0.644653 | + | 0.743969i | ||||
\(917\) | 13.3840 | − | 3.92990i | 0.441979 | − | 0.129777i | ||||
\(918\) | 1.64911 | + | 3.61105i | 0.0544287 | + | 0.119182i | ||||
\(919\) | −10.2818 | −0.339164 | −0.169582 | − | 0.985516i | \(-0.554242\pi\) | ||||
−0.169582 | + | 0.985516i | \(0.554242\pi\) | |||||||
\(920\) | −4.72963 | − | 0.794074i | −0.155931 | − | 0.0261799i | ||||
\(921\) | 8.96777 | 0.295498 | ||||||||
\(922\) | −6.59849 | − | 14.4487i | −0.217310 | − | 0.475842i | ||||
\(923\) | −15.7567 | + | 4.62659i | −0.518639 | + | 0.152286i | ||||
\(924\) | 1.93617 | − | 2.23445i | 0.0636952 | − | 0.0735081i | ||||
\(925\) | 4.36371 | + | 2.80438i | 0.143478 | + | 0.0922075i | ||||
\(926\) | −3.02559 | − | 3.49172i | −0.0994272 | − | 0.114745i | ||||
\(927\) | 2.25325 | + | 15.6717i | 0.0740066 | + | 0.514727i | ||||
\(928\) | −6.47742 | − | 1.90194i | −0.212632 | − | 0.0624343i | ||||
\(929\) | −16.9123 | + | 10.8689i | −0.554876 | + | 0.356597i | −0.787832 | − | 0.615890i | \(-0.788796\pi\) |
0.232956 | + | 0.972487i | \(0.425160\pi\) | |||||||
\(930\) | −1.31687 | + | 9.15905i | −0.0431819 | + | 0.300337i | ||||
\(931\) | 9.60204 | − | 21.0255i | 0.314694 | − | 0.689084i | ||||
\(932\) | 1.99261 | − | 4.36320i | 0.0652700 | − | 0.142921i | ||||
\(933\) | −3.42345 | + | 23.8106i | −0.112079 | + | 0.779525i | ||||
\(934\) | −20.7712 | + | 13.3489i | −0.679655 | + | 0.436788i | ||||
\(935\) | 16.8724 | + | 4.95420i | 0.551788 | + | 0.162020i | ||||
\(936\) | −0.175471 | − | 1.22043i | −0.00573546 | − | 0.0398910i | ||||
\(937\) | 17.7836 | + | 20.5234i | 0.580965 | + | 0.670469i | 0.967812 | − | 0.251675i | \(-0.0809814\pi\) |
−0.386847 | + | 0.922144i | \(0.626436\pi\) | |||||||
\(938\) | 0.636710 | + | 0.409189i | 0.0207893 | + | 0.0133605i | ||||
\(939\) | 11.3305 | − | 13.0761i | 0.369758 | − | 0.426723i | ||||
\(940\) | 10.4648 | − | 3.07274i | 0.341324 | − | 0.100222i | ||||
\(941\) | −2.78867 | − | 6.10633i | −0.0909080 | − | 0.199061i | 0.858716 | − | 0.512451i | \(-0.171262\pi\) |
−0.949624 | + | 0.313390i | \(0.898535\pi\) | |||||||
\(942\) | 8.07346 | 0.263047 | ||||||||
\(943\) | 49.2372 | − | 5.89989i | 1.60338 | − | 0.192127i | ||||
\(944\) | 4.47940 | 0.145792 | ||||||||
\(945\) | −0.277272 | − | 0.607142i | −0.00901967 | − | 0.0197503i | ||||
\(946\) | 48.9960 | − | 14.3865i | 1.59300 | − | 0.467747i | ||||
\(947\) | 9.52980 | − | 10.9980i | 0.309677 | − | 0.357386i | −0.579482 | − | 0.814985i | \(-0.696745\pi\) |
0.889159 | + | 0.457599i | \(0.151290\pi\) | |||||||
\(948\) | 7.12578 | + | 4.57946i | 0.231434 | + | 0.148734i | ||||
\(949\) | −6.48814 | − | 7.48772i | −0.210614 | − | 0.243062i | ||||
\(950\) | −0.501871 | − | 3.49059i | −0.0162828 | − | 0.113250i | ||||
\(951\) | −1.04496 | − | 0.306828i | −0.0338851 | − | 0.00994957i | ||||
\(952\) | 2.22904 | − | 1.43252i | 0.0722437 | − | 0.0464282i | ||||
\(953\) | −2.99221 | + | 20.8112i | −0.0969270 | + | 0.674142i | 0.882197 | + | 0.470880i | \(0.156064\pi\) |
−0.979124 | + | 0.203262i | \(0.934846\pi\) | |||||||
\(954\) | −1.01966 | + | 2.23275i | −0.0330128 | + | 0.0722879i | ||||
\(955\) | −2.33653 | + | 5.11628i | −0.0756082 | + | 0.165559i | ||||
\(956\) | −4.15307 | + | 28.8852i | −0.134320 | + | 0.934216i | ||||
\(957\) | 25.1568 | − | 16.1673i | 0.813205 | − | 0.522615i | ||||
\(958\) | 35.3773 | + | 10.3877i | 1.14299 | + | 0.335612i | ||||
\(959\) | −1.03882 | − | 7.22516i | −0.0335453 | − | 0.233313i | ||||
\(960\) | 0.654861 | + | 0.755750i | 0.0211355 | + | 0.0243917i | ||||
\(961\) | 45.9512 | + | 29.5310i | 1.48230 | + | 0.952614i | ||||
\(962\) | −4.18826 | + | 4.83351i | −0.135035 | + | 0.155838i | ||||
\(963\) | 2.19334 | − | 0.644024i | 0.0706795 | − | 0.0207534i | ||||
\(964\) | 4.05196 | + | 8.87256i | 0.130505 | + | 0.285766i | ||||
\(965\) | −12.5608 | −0.404347 | ||||||||
\(966\) | 0.0753525 | − | 3.20013i | 0.00242443 | − | 0.102963i | ||||
\(967\) | 14.4396 | 0.464347 | 0.232173 | − | 0.972674i | \(-0.425416\pi\) | ||||
0.232173 | + | 0.972674i | \(0.425416\pi\) | |||||||
\(968\) | −3.58161 | − | 7.84263i | −0.115117 | − | 0.252072i | ||||
\(969\) | −13.4323 | + | 3.94408i | −0.431508 | + | 0.126702i | ||||
\(970\) | −7.56978 | + | 8.73600i | −0.243051 | + | 0.280496i | ||||
\(971\) | 5.71929 | + | 3.67557i | 0.183541 | + | 0.117955i | 0.629185 | − | 0.777256i | \(-0.283389\pi\) |
−0.445644 | + | 0.895210i | \(0.647025\pi\) | |||||||
\(972\) | −0.654861 | − | 0.755750i | −0.0210047 | − | 0.0242407i | ||||
\(973\) | −0.545647 | − | 3.79506i | −0.0174926 | − | 0.121664i | ||||
\(974\) | 28.2298 | + | 8.28900i | 0.904540 | + | 0.265597i | ||||
\(975\) | −1.03725 | + | 0.666599i | −0.0332185 | + | 0.0213483i | ||||
\(976\) | −0.218711 | + | 1.52117i | −0.00700076 | + | 0.0486913i | ||||
\(977\) | −19.7088 | + | 43.1562i | −0.630540 | + | 1.38069i | 0.277059 | + | 0.960853i | \(0.410640\pi\) |
−0.907599 | + | 0.419837i | \(0.862087\pi\) | |||||||
\(978\) | −3.71278 | + | 8.12986i | −0.118722 | + | 0.259964i | ||||
\(979\) | −2.28406 | + | 15.8860i | −0.0729988 | + | 0.507718i | ||||
\(980\) | 5.51400 | − | 3.54363i | 0.176138 | − | 0.113197i | ||||
\(981\) | −5.19389 | − | 1.52506i | −0.165828 | − | 0.0486916i | ||||
\(982\) | −4.62627 | − | 32.1764i | −0.147630 | − | 1.02679i | ||||
\(983\) | 10.2837 | + | 11.8680i | 0.327999 | + | 0.378531i | 0.895666 | − | 0.444727i | \(-0.146699\pi\) |
−0.567667 | + | 0.823258i | \(0.692154\pi\) | |||||||
\(984\) | −8.69865 | − | 5.59028i | −0.277303 | − | 0.178212i | ||||
\(985\) | −2.14248 | + | 2.47255i | −0.0682650 | + | 0.0787820i | ||||
\(986\) | 25.7140 | − | 7.55030i | 0.818900 | − | 0.240451i | ||||
\(987\) | 3.02410 | + | 6.62185i | 0.0962580 | + | 0.210776i | ||||
\(988\) | 4.34808 | 0.138331 | ||||||||
\(989\) | 30.9764 | − | 45.7929i | 0.984991 | − | 1.45613i | ||||
\(990\) | −4.42965 | −0.140783 | ||||||||
\(991\) | 21.0346 | + | 46.0592i | 0.668185 | + | 1.46312i | 0.874694 | + | 0.484675i | \(0.161062\pi\) |
−0.206510 | + | 0.978445i | \(0.566210\pi\) | |||||||
\(992\) | 8.87841 | − | 2.60694i | 0.281890 | − | 0.0827703i | ||||
\(993\) | −9.91433 | + | 11.4417i | −0.314622 | + | 0.363093i | ||||
\(994\) | 7.47859 | + | 4.80620i | 0.237206 | + | 0.152443i | ||||
\(995\) | 8.49176 | + | 9.80001i | 0.269207 | + | 0.310681i | ||||
\(996\) | 2.31049 | + | 16.0698i | 0.0732106 | + | 0.509191i | ||||
\(997\) | 27.2573 | + | 8.00347i | 0.863248 | + | 0.253473i | 0.683241 | − | 0.730193i | \(-0.260570\pi\) |
0.180007 | + | 0.983665i | \(0.442388\pi\) | |||||||
\(998\) | −13.4523 | + | 8.64528i | −0.425826 | + | 0.273662i | ||||
\(999\) | −0.738208 | + | 5.13435i | −0.0233559 | + | 0.162444i |
(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 | 690.2.m.h.211.2 | yes | 30 | |
23.6 | even | 11 | inner | 690.2.m.h.121.2 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.h.121.2 | ✓ | 30 | 23.6 | even | 11 | inner | |
690.2.m.h.211.2 | yes | 30 | 1.1 | even | 1 | trivial |