Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 40 x^{18} - 117 x^{17} + 295 x^{16} - 575 x^{15} + 1777 x^{14} - 1560 x^{13} + 4383 x^{12} - 6446 x^{11} + 7261 x^{10} + 7700 x^{9} + 7852 x^{8} + \cdots + 2374681 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Root | \(0.216617 + 1.50661i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.169 |
Dual form | 483.2.q.c.463.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.186393 | − | 1.29639i | 0.131800 | − | 0.916686i | −0.811407 | − | 0.584481i | \(-0.801298\pi\) |
0.943207 | − | 0.332205i | \(-0.107793\pi\) | |||||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | 0.273100 | + | 0.0801894i | 0.136550 | + | 0.0400947i | ||||
\(5\) | −0.810370 | − | 0.935217i | −0.362408 | − | 0.418242i | 0.545037 | − | 0.838412i | \(-0.316516\pi\) |
−0.907445 | + | 0.420171i | \(0.861970\pi\) | |||||||
\(6\) | 1.25667 | − | 0.368991i | 0.513033 | − | 0.150640i | ||||
\(7\) | 0.841254 | + | 0.540641i | 0.317964 | + | 0.204343i | ||||
\(8\) | 1.24302 | − | 2.72183i | 0.439473 | − | 0.962311i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | −1.36345 | + | 0.876238i | −0.431162 | + | 0.277091i | ||||
\(11\) | −0.722222 | − | 5.02317i | −0.217758 | − | 1.51454i | −0.746286 | − | 0.665625i | \(-0.768165\pi\) |
0.528528 | − | 0.848916i | \(-0.322744\pi\) | |||||||
\(12\) | 0.0405070 | + | 0.281733i | 0.0116934 | + | 0.0813292i | ||||
\(13\) | −1.31805 | + | 0.847057i | −0.365560 | + | 0.234931i | −0.710506 | − | 0.703691i | \(-0.751534\pi\) |
0.344945 | + | 0.938623i | \(0.387897\pi\) | |||||||
\(14\) | 0.857685 | − | 0.989821i | 0.229226 | − | 0.264541i | ||||
\(15\) | 0.514063 | − | 1.12564i | 0.132731 | − | 0.290639i | ||||
\(16\) | −2.81797 | − | 1.81100i | −0.704492 | − | 0.452750i | ||||
\(17\) | 5.77863 | − | 1.69676i | 1.40152 | − | 0.411525i | 0.508317 | − | 0.861170i | \(-0.330268\pi\) |
0.893207 | + | 0.449645i | \(0.148450\pi\) | |||||||
\(18\) | 0.857685 | + | 0.989821i | 0.202158 | + | 0.233303i | ||||
\(19\) | 5.51952 | + | 1.62068i | 1.26626 | + | 0.371809i | 0.844823 | − | 0.535046i | \(-0.179706\pi\) |
0.421442 | + | 0.906855i | \(0.361524\pi\) | |||||||
\(20\) | −0.146318 | − | 0.320391i | −0.0327176 | − | 0.0716416i | ||||
\(21\) | −0.142315 | + | 0.989821i | −0.0310556 | + | 0.215997i | ||||
\(22\) | −6.64660 | −1.41706 | ||||||||
\(23\) | 2.46012 | + | 4.11677i | 0.512971 | + | 0.858406i | ||||
\(24\) | 2.99223 | 0.610786 | ||||||||
\(25\) | 0.493643 | − | 3.43336i | 0.0987287 | − | 0.686673i | ||||
\(26\) | 0.852443 | + | 1.86659i | 0.167178 | + | 0.366068i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | 0.186393 | + | 0.215109i | 0.0352249 | + | 0.0406517i | ||||
\(29\) | −4.19162 | + | 1.23077i | −0.778365 | + | 0.228548i | −0.646699 | − | 0.762746i | \(-0.723851\pi\) |
−0.131666 | + | 0.991294i | \(0.542033\pi\) | |||||||
\(30\) | −1.36345 | − | 0.876238i | −0.248931 | − | 0.159978i | ||||
\(31\) | 1.03303 | − | 2.26202i | 0.185538 | − | 0.406271i | −0.793891 | − | 0.608060i | \(-0.791948\pi\) |
0.979429 | + | 0.201789i | \(0.0646755\pi\) | |||||||
\(32\) | 1.04598 | − | 1.20712i | 0.184904 | − | 0.213391i | ||||
\(33\) | 4.26921 | − | 2.74365i | 0.743174 | − | 0.477609i | ||||
\(34\) | −1.12257 | − | 7.80763i | −0.192519 | − | 1.33900i | ||||
\(35\) | −0.176110 | − | 1.22487i | −0.0297681 | − | 0.207041i | ||||
\(36\) | −0.239446 | + | 0.153882i | −0.0399076 | + | 0.0256471i | ||||
\(37\) | −5.56318 | + | 6.42026i | −0.914582 | + | 1.05548i | 0.0836769 | + | 0.996493i | \(0.473334\pi\) |
−0.998259 | + | 0.0589905i | \(0.981212\pi\) | |||||||
\(38\) | 3.12983 | − | 6.85337i | 0.507725 | − | 1.11176i | ||||
\(39\) | −1.31805 | − | 0.847057i | −0.211056 | − | 0.135638i | ||||
\(40\) | −3.55280 | + | 1.04320i | −0.561747 | + | 0.164944i | ||||
\(41\) | 3.91794 | + | 4.52155i | 0.611880 | + | 0.706147i | 0.974144 | − | 0.225929i | \(-0.0725416\pi\) |
−0.362264 | + | 0.932075i | \(0.617996\pi\) | |||||||
\(42\) | 1.25667 | + | 0.368991i | 0.193908 | + | 0.0569366i | ||||
\(43\) | −0.842640 | − | 1.84512i | −0.128501 | − | 0.281379i | 0.834435 | − | 0.551106i | \(-0.185794\pi\) |
−0.962937 | + | 0.269727i | \(0.913067\pi\) | |||||||
\(44\) | 0.205566 | − | 1.42974i | 0.0309902 | − | 0.215542i | ||||
\(45\) | 1.23747 | 0.184471 | ||||||||
\(46\) | 5.79549 | − | 2.42195i | 0.854498 | − | 0.357096i | ||||
\(47\) | −2.38197 | −0.347446 | −0.173723 | − | 0.984795i | \(-0.555580\pi\) | ||||
−0.173723 | + | 0.984795i | \(0.555580\pi\) | |||||||
\(48\) | 0.476716 | − | 3.31563i | 0.0688080 | − | 0.478570i | ||||
\(49\) | 0.415415 | + | 0.909632i | 0.0593450 | + | 0.129947i | ||||
\(50\) | −4.35897 | − | 1.27991i | −0.616451 | − | 0.181006i | ||||
\(51\) | 3.94396 | + | 4.55157i | 0.552265 | + | 0.637347i | ||||
\(52\) | −0.427884 | + | 0.125638i | −0.0593368 | + | 0.0174229i | ||||
\(53\) | −5.44615 | − | 3.50003i | −0.748086 | − | 0.480766i | 0.110218 | − | 0.993907i | \(-0.464845\pi\) |
−0.858304 | + | 0.513142i | \(0.828482\pi\) | |||||||
\(54\) | −0.544078 | + | 1.19136i | −0.0740396 | + | 0.162124i | ||||
\(55\) | −4.11248 | + | 4.74606i | −0.554527 | + | 0.639958i | ||||
\(56\) | 2.51722 | − | 1.61772i | 0.336378 | − | 0.216177i | ||||
\(57\) | 0.818672 | + | 5.69399i | 0.108436 | + | 0.754187i | ||||
\(58\) | 0.814272 | + | 5.66339i | 0.106919 | + | 0.743639i | ||||
\(59\) | −10.4019 | + | 6.68489i | −1.35421 | + | 0.870299i | −0.997944 | − | 0.0640850i | \(-0.979587\pi\) |
−0.356267 | + | 0.934384i | \(0.615951\pi\) | |||||||
\(60\) | 0.230655 | − | 0.266190i | 0.0297775 | − | 0.0343650i | ||||
\(61\) | −1.36641 | + | 2.99203i | −0.174951 | + | 0.383090i | −0.976712 | − | 0.214556i | \(-0.931170\pi\) |
0.801760 | + | 0.597645i | \(0.203897\pi\) | |||||||
\(62\) | −2.73991 | − | 1.76083i | −0.347969 | − | 0.223626i | ||||
\(63\) | −0.959493 | + | 0.281733i | −0.120885 | + | 0.0354950i | ||||
\(64\) | −5.75714 | − | 6.64410i | −0.719643 | − | 0.830512i | ||||
\(65\) | 1.86029 | + | 0.546230i | 0.230740 | + | 0.0677515i | ||||
\(66\) | −2.76110 | − | 6.04596i | −0.339868 | − | 0.744206i | ||||
\(67\) | −1.72856 | + | 12.0224i | −0.211178 | + | 1.46877i | 0.558055 | + | 0.829804i | \(0.311548\pi\) |
−0.769232 | + | 0.638969i | \(0.779361\pi\) | |||||||
\(68\) | 1.71421 | 0.207878 | ||||||||
\(69\) | −2.72277 | + | 3.94798i | −0.327783 | + | 0.475280i | ||||
\(70\) | −1.62074 | −0.193715 | ||||||||
\(71\) | 1.16690 | − | 8.11596i | 0.138485 | − | 0.963187i | −0.795520 | − | 0.605928i | \(-0.792802\pi\) |
0.934005 | − | 0.357260i | \(-0.116289\pi\) | |||||||
\(72\) | 1.24302 | + | 2.72183i | 0.146491 | + | 0.320770i | ||||
\(73\) | −4.18826 | − | 1.22978i | −0.490199 | − | 0.143935i | 0.0272863 | − | 0.999628i | \(-0.491313\pi\) |
−0.517485 | + | 0.855692i | \(0.673132\pi\) | |||||||
\(74\) | 7.28622 | + | 8.40875i | 0.847006 | + | 0.977497i | ||||
\(75\) | 3.32816 | − | 0.977237i | 0.384303 | − | 0.112842i | ||||
\(76\) | 1.37742 | + | 0.885215i | 0.158001 | + | 0.101541i | ||||
\(77\) | 2.10816 | − | 4.61622i | 0.240247 | − | 0.526067i | ||||
\(78\) | −1.34379 | + | 1.55082i | −0.152154 | + | 0.175596i | ||||
\(79\) | −4.51918 | + | 2.90430i | −0.508447 | + | 0.326759i | −0.769587 | − | 0.638542i | \(-0.779538\pi\) |
0.261140 | + | 0.965301i | \(0.415902\pi\) | |||||||
\(80\) | 0.589921 | + | 4.10299i | 0.0659552 | + | 0.458728i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 6.59197 | − | 4.23640i | 0.727961 | − | 0.467832i | ||||
\(83\) | 2.21220 | − | 2.55301i | 0.242820 | − | 0.280229i | −0.621237 | − | 0.783622i | \(-0.713370\pi\) |
0.864058 | + | 0.503393i | \(0.167915\pi\) | |||||||
\(84\) | −0.118239 | + | 0.258908i | −0.0129010 | + | 0.0282492i | ||||
\(85\) | −6.26967 | − | 4.02927i | −0.680041 | − | 0.437036i | ||||
\(86\) | −2.54906 | + | 0.748472i | −0.274873 | + | 0.0807099i | ||||
\(87\) | −2.86081 | − | 3.30155i | −0.306711 | − | 0.353964i | ||||
\(88\) | −14.5699 | − | 4.27811i | −1.55316 | − | 0.456049i | ||||
\(89\) | 2.88880 | + | 6.32558i | 0.306212 | + | 0.670510i | 0.998703 | − | 0.0509161i | \(-0.0162141\pi\) |
−0.692491 | + | 0.721426i | \(0.743487\pi\) | |||||||
\(90\) | 0.230655 | − | 1.60424i | 0.0243132 | − | 0.169102i | ||||
\(91\) | −1.56677 | −0.164242 | ||||||||
\(92\) | 0.341739 | + | 1.32157i | 0.0356288 | + | 0.137783i | ||||
\(93\) | 2.48674 | 0.257863 | ||||||||
\(94\) | −0.443981 | + | 3.08796i | −0.0457932 | + | 0.318499i | ||||
\(95\) | −2.95717 | − | 6.47530i | −0.303399 | − | 0.664351i | ||||
\(96\) | 1.53255 | + | 0.449997i | 0.156415 | + | 0.0459276i | ||||
\(97\) | 11.2146 | + | 12.9424i | 1.13867 | + | 1.31410i | 0.942758 | + | 0.333479i | \(0.108223\pi\) |
0.195916 | + | 0.980621i | \(0.437232\pi\) | |||||||
\(98\) | 1.25667 | − | 0.368991i | 0.126943 | − | 0.0372737i | ||||
\(99\) | 4.26921 | + | 2.74365i | 0.429072 | + | 0.275748i | ||||
\(100\) | 0.410134 | − | 0.898067i | 0.0410134 | − | 0.0898067i | ||||
\(101\) | −3.26390 | + | 3.76674i | −0.324770 | + | 0.374805i | −0.894531 | − | 0.447006i | \(-0.852490\pi\) |
0.569761 | + | 0.821810i | \(0.307036\pi\) | |||||||
\(102\) | 6.63574 | − | 4.26453i | 0.657036 | − | 0.422251i | ||||
\(103\) | −0.861017 | − | 5.98851i | −0.0848385 | − | 0.590065i | −0.987249 | − | 0.159187i | \(-0.949113\pi\) |
0.902410 | − | 0.430878i | \(-0.141796\pi\) | |||||||
\(104\) | 0.667189 | + | 4.64040i | 0.0654233 | + | 0.455029i | ||||
\(105\) | 1.04103 | − | 0.669026i | 0.101594 | − | 0.0652903i | ||||
\(106\) | −5.55253 | + | 6.40796i | −0.539309 | + | 0.622396i | ||||
\(107\) | −7.01150 | + | 15.3531i | −0.677828 | + | 1.48424i | 0.187101 | + | 0.982341i | \(0.440091\pi\) |
−0.864929 | + | 0.501895i | \(0.832636\pi\) | |||||||
\(108\) | −0.239446 | − | 0.153882i | −0.0230407 | − | 0.0148073i | ||||
\(109\) | 8.59687 | − | 2.52427i | 0.823430 | − | 0.241781i | 0.157238 | − | 0.987561i | \(-0.449741\pi\) |
0.666193 | + | 0.745780i | \(0.267923\pi\) | |||||||
\(110\) | 5.38620 | + | 6.21601i | 0.513554 | + | 0.592673i | ||||
\(111\) | −8.15110 | − | 2.39338i | −0.773668 | − | 0.227169i | ||||
\(112\) | −1.39153 | − | 3.04702i | −0.131487 | − | 0.287916i | ||||
\(113\) | 2.43496 | − | 16.9355i | 0.229062 | − | 1.59316i | −0.473012 | − | 0.881056i | \(-0.656833\pi\) |
0.702074 | − | 0.712104i | \(-0.252258\pi\) | |||||||
\(114\) | 7.53422 | 0.705645 | ||||||||
\(115\) | 1.85646 | − | 5.63686i | 0.173116 | − | 0.525639i | ||||
\(116\) | −1.24343 | −0.115449 | ||||||||
\(117\) | 0.222974 | − | 1.55082i | 0.0206140 | − | 0.143373i | ||||
\(118\) | 6.72739 | + | 14.7309i | 0.619307 | + | 1.35609i | ||||
\(119\) | 5.77863 | + | 1.69676i | 0.529727 | + | 0.155542i | ||||
\(120\) | −2.42481 | − | 2.79838i | −0.221354 | − | 0.255456i | ||||
\(121\) | −14.1562 | + | 4.15662i | −1.28692 | + | 0.377875i | ||||
\(122\) | 3.62415 | + | 2.32910i | 0.328115 | + | 0.210867i | ||||
\(123\) | −2.48537 | + | 5.44220i | −0.224098 | + | 0.490707i | ||||
\(124\) | 0.463511 | − | 0.534920i | 0.0416245 | − | 0.0480372i | ||||
\(125\) | −8.81610 | + | 5.66576i | −0.788536 | + | 0.506761i | ||||
\(126\) | 0.186393 | + | 1.29639i | 0.0166052 | + | 0.115492i | ||||
\(127\) | 0.941452 | + | 6.54794i | 0.0835404 | + | 0.581036i | 0.987997 | + | 0.154471i | \(0.0493673\pi\) |
−0.904457 | + | 0.426565i | \(0.859724\pi\) | |||||||
\(128\) | −6.99906 | + | 4.49802i | −0.618635 | + | 0.397573i | ||||
\(129\) | 1.32834 | − | 1.53298i | 0.116954 | − | 0.134972i | ||||
\(130\) | 1.05487 | − | 2.30985i | 0.0925183 | − | 0.202587i | ||||
\(131\) | 2.84475 | + | 1.82821i | 0.248547 | + | 0.159731i | 0.658983 | − | 0.752158i | \(-0.270987\pi\) |
−0.410436 | + | 0.911890i | \(0.634623\pi\) | |||||||
\(132\) | 1.38593 | − | 0.406947i | 0.120630 | − | 0.0354202i | ||||
\(133\) | 3.76711 | + | 4.34748i | 0.326650 | + | 0.376974i | ||||
\(134\) | 15.2636 | + | 4.48179i | 1.31857 | + | 0.387168i | ||||
\(135\) | 0.514063 | + | 1.12564i | 0.0442435 | + | 0.0968798i | ||||
\(136\) | 2.56465 | − | 17.8375i | 0.219917 | − | 1.52956i | ||||
\(137\) | 13.7505 | 1.17478 | 0.587392 | − | 0.809302i | \(-0.300155\pi\) | ||||
0.587392 | + | 0.809302i | \(0.300155\pi\) | |||||||
\(138\) | 4.61061 | + | 4.26565i | 0.392481 | + | 0.363116i | ||||
\(139\) | 3.33313 | 0.282712 | 0.141356 | − | 0.989959i | \(-0.454854\pi\) | ||||
0.141356 | + | 0.989959i | \(0.454854\pi\) | |||||||
\(140\) | 0.0501262 | − | 0.348635i | 0.00423644 | − | 0.0294651i | ||||
\(141\) | −0.989505 | − | 2.16671i | −0.0833313 | − | 0.182470i | ||||
\(142\) | −10.3040 | − | 3.02551i | −0.864688 | − | 0.253895i | ||||
\(143\) | 5.20683 | + | 6.00900i | 0.435417 | + | 0.502498i | ||||
\(144\) | 3.21404 | − | 0.943727i | 0.267837 | − | 0.0786439i | ||||
\(145\) | 4.54780 | + | 2.92270i | 0.377674 | + | 0.242717i | ||||
\(146\) | −2.37494 | + | 5.20039i | −0.196551 | + | 0.430388i | ||||
\(147\) | −0.654861 | + | 0.755750i | −0.0540120 | + | 0.0623332i | ||||
\(148\) | −2.03414 | + | 1.30726i | −0.167206 | + | 0.107456i | ||||
\(149\) | 2.40658 | + | 16.7381i | 0.197154 | + | 1.37124i | 0.812491 | + | 0.582974i | \(0.198111\pi\) |
−0.615337 | + | 0.788265i | \(0.710980\pi\) | |||||||
\(150\) | −0.646535 | − | 4.49675i | −0.0527894 | − | 0.367158i | ||||
\(151\) | −10.3876 | + | 6.67573i | −0.845334 | + | 0.543263i | −0.890116 | − | 0.455734i | \(-0.849377\pi\) |
0.0447823 | + | 0.998997i | \(0.485741\pi\) | |||||||
\(152\) | 11.2721 | − | 13.0086i | 0.914285 | − | 1.05514i | ||||
\(153\) | −2.50188 | + | 5.47834i | −0.202265 | + | 0.442898i | ||||
\(154\) | −5.59148 | − | 3.59342i | −0.450574 | − | 0.289566i | ||||
\(155\) | −2.95261 | + | 0.866966i | −0.237160 | + | 0.0696364i | ||||
\(156\) | −0.292034 | − | 0.337025i | −0.0233814 | − | 0.0269836i | ||||
\(157\) | 19.5221 | + | 5.73221i | 1.55803 | + | 0.457480i | 0.943490 | − | 0.331402i | \(-0.107522\pi\) |
0.614545 | + | 0.788882i | \(0.289340\pi\) | |||||||
\(158\) | 2.92276 | + | 6.39996i | 0.232522 | + | 0.509153i | ||||
\(159\) | 0.921325 | − | 6.40796i | 0.0730658 | − | 0.508184i | ||||
\(160\) | −1.97655 | −0.156260 | ||||||||
\(161\) | −0.156105 | + | 4.79329i | −0.0123028 | + | 0.377764i | ||||
\(162\) | −1.30972 | −0.102901 | ||||||||
\(163\) | 1.11633 | − | 7.76423i | 0.0874376 | − | 0.608142i | −0.898241 | − | 0.439504i | \(-0.855154\pi\) |
0.985678 | − | 0.168638i | \(-0.0539367\pi\) | |||||||
\(164\) | 0.707410 | + | 1.54901i | 0.0552395 | + | 0.120958i | ||||
\(165\) | −6.02555 | − | 1.76926i | −0.469089 | − | 0.137737i | ||||
\(166\) | −2.89736 | − | 3.34373i | −0.224879 | − | 0.259524i | ||||
\(167\) | −1.92671 | + | 0.565732i | −0.149093 | + | 0.0437777i | −0.355427 | − | 0.934704i | \(-0.615665\pi\) |
0.206334 | + | 0.978482i | \(0.433847\pi\) | |||||||
\(168\) | 2.51722 | + | 1.61772i | 0.194208 | + | 0.124810i | ||||
\(169\) | −4.38065 | + | 9.59229i | −0.336973 | + | 0.737869i | ||||
\(170\) | −6.39213 | + | 7.37691i | −0.490254 | + | 0.565783i | ||||
\(171\) | −4.83934 | + | 3.11006i | −0.370074 | + | 0.237832i | ||||
\(172\) | −0.0821656 | − | 0.571475i | −0.00626507 | − | 0.0435745i | ||||
\(173\) | 0.342875 | + | 2.38475i | 0.0260683 | + | 0.181309i | 0.998695 | − | 0.0510621i | \(-0.0162607\pi\) |
−0.972627 | + | 0.232371i | \(0.925352\pi\) | |||||||
\(174\) | −4.81334 | + | 3.09334i | −0.364898 | + | 0.234506i | ||||
\(175\) | 2.27150 | − | 2.62145i | 0.171709 | − | 0.198163i | ||||
\(176\) | −7.06175 | + | 15.4631i | −0.532299 | + | 1.16557i | ||||
\(177\) | −10.4019 | − | 6.68489i | −0.781855 | − | 0.502467i | ||||
\(178\) | 8.73887 | − | 2.56596i | 0.655006 | − | 0.192327i | ||||
\(179\) | −16.8898 | − | 19.4919i | −1.26240 | − | 1.45689i | −0.832510 | − | 0.554010i | \(-0.813097\pi\) |
−0.429892 | − | 0.902880i | \(-0.641448\pi\) | |||||||
\(180\) | 0.337953 | + | 0.0992320i | 0.0251895 | + | 0.00739631i | ||||
\(181\) | 4.56559 | + | 9.99726i | 0.339358 | + | 0.743090i | 0.999971 | − | 0.00763653i | \(-0.00243081\pi\) |
−0.660613 | + | 0.750727i | \(0.729704\pi\) | |||||||
\(182\) | −0.292034 | + | 2.03114i | −0.0216470 | + | 0.150558i | ||||
\(183\) | −3.28927 | −0.243150 | ||||||||
\(184\) | 14.2631 | − | 1.57882i | 1.05149 | − | 0.116392i | ||||
\(185\) | 10.5126 | 0.772899 | ||||||||
\(186\) | 0.463511 | − | 3.22379i | 0.0339863 | − | 0.236380i | ||||
\(187\) | −12.6966 | − | 27.8016i | −0.928465 | − | 2.03305i | ||||
\(188\) | −0.650516 | − | 0.191009i | −0.0474437 | − | 0.0139307i | ||||
\(189\) | −0.654861 | − | 0.755750i | −0.0476341 | − | 0.0549727i | ||||
\(190\) | −8.94571 | + | 2.62670i | −0.648990 | + | 0.190561i | ||||
\(191\) | −9.28500 | − | 5.96711i | −0.671839 | − | 0.431765i | 0.159749 | − | 0.987158i | \(-0.448931\pi\) |
−0.831588 | + | 0.555393i | \(0.812568\pi\) | |||||||
\(192\) | 3.65208 | − | 7.99694i | 0.263566 | − | 0.577130i | ||||
\(193\) | 12.4297 | − | 14.3446i | 0.894706 | − | 1.03255i | −0.104570 | − | 0.994517i | \(-0.533347\pi\) |
0.999277 | − | 0.0380285i | \(-0.0121078\pi\) | |||||||
\(194\) | 18.8687 | − | 12.1262i | 1.35469 | − | 0.870609i | ||||
\(195\) | 0.275923 | + | 1.91909i | 0.0197593 | + | 0.137429i | ||||
\(196\) | 0.0405070 | + | 0.281733i | 0.00289336 | + | 0.0201238i | ||||
\(197\) | 10.7634 | − | 6.91721i | 0.766859 | − | 0.492830i | −0.0977897 | − | 0.995207i | \(-0.531177\pi\) |
0.864649 | + | 0.502377i | \(0.167541\pi\) | |||||||
\(198\) | 4.35260 | − | 5.02317i | 0.309326 | − | 0.356981i | ||||
\(199\) | −0.519802 | + | 1.13821i | −0.0368478 | + | 0.0806854i | −0.927161 | − | 0.374664i | \(-0.877758\pi\) |
0.890313 | + | 0.455349i | \(0.150486\pi\) | |||||||
\(200\) | −8.73142 | − | 5.61134i | −0.617404 | − | 0.396782i | ||||
\(201\) | −11.6541 | + | 3.42194i | −0.822014 | + | 0.241365i | ||||
\(202\) | 4.27480 | + | 4.93338i | 0.300774 | + | 0.347111i | ||||
\(203\) | −4.19162 | − | 1.23077i | −0.294194 | − | 0.0863832i | ||||
\(204\) | 0.712108 | + | 1.55930i | 0.0498575 | + | 0.109173i | ||||
\(205\) | 1.05364 | − | 7.32825i | 0.0735896 | − | 0.511827i | ||||
\(206\) | −7.92393 | −0.552086 | ||||||||
\(207\) | −4.72229 | − | 0.836672i | −0.328222 | − | 0.0581528i | ||||
\(208\) | 5.24824 | 0.363900 | ||||||||
\(209\) | 4.15461 | − | 28.8960i | 0.287380 | − | 1.99877i | ||||
\(210\) | −0.673280 | − | 1.47428i | −0.0464607 | − | 0.101735i | ||||
\(211\) | −2.23052 | − | 0.654941i | −0.153556 | − | 0.0450880i | 0.204051 | − | 0.978960i | \(-0.434589\pi\) |
−0.357607 | + | 0.933872i | \(0.616407\pi\) | |||||||
\(212\) | −1.20668 | − | 1.39258i | −0.0828751 | − | 0.0956429i | ||||
\(213\) | 7.86728 | − | 2.31004i | 0.539057 | − | 0.158282i | ||||
\(214\) | 18.5967 | + | 11.9513i | 1.27124 | + | 0.816977i | ||||
\(215\) | −1.04274 | + | 2.28328i | −0.0711143 | + | 0.155719i | ||||
\(216\) | −1.95949 | + | 2.26138i | −0.133327 | + | 0.153867i | ||||
\(217\) | 2.09198 | − | 1.34443i | 0.142013 | − | 0.0912661i | ||||
\(218\) | −1.67004 | − | 11.6154i | −0.113110 | − | 0.786694i | ||||
\(219\) | −0.621215 | − | 4.32064i | −0.0419778 | − | 0.291962i | ||||
\(220\) | −1.50370 | + | 0.966371i | −0.101380 | + | 0.0651527i | ||||
\(221\) | −6.17926 | + | 7.13124i | −0.415662 | + | 0.479699i | ||||
\(222\) | −4.62206 | + | 10.1209i | −0.310212 | + | 0.679270i | ||||
\(223\) | −16.7091 | − | 10.7383i | −1.11893 | − | 0.719090i | −0.155706 | − | 0.987803i | \(-0.549765\pi\) |
−0.963220 | + | 0.268713i | \(0.913402\pi\) | |||||||
\(224\) | 1.53255 | − | 0.449997i | 0.102398 | − | 0.0300667i | ||||
\(225\) | 2.27150 | + | 2.62145i | 0.151433 | + | 0.174763i | ||||
\(226\) | −21.5012 | − | 6.31332i | −1.43024 | − | 0.419956i | ||||
\(227\) | 6.45719 | + | 14.1393i | 0.428579 | + | 0.938457i | 0.993555 | + | 0.113350i | \(0.0361581\pi\) |
−0.564976 | + | 0.825107i | \(0.691115\pi\) | |||||||
\(228\) | −0.233018 | + | 1.62068i | −0.0154320 | + | 0.107332i | ||||
\(229\) | −4.10506 | −0.271270 | −0.135635 | − | 0.990759i | \(-0.543307\pi\) | ||||
−0.135635 | + | 0.990759i | \(0.543307\pi\) | |||||||
\(230\) | −6.96153 | − | 3.45737i | −0.459030 | − | 0.227972i | ||||
\(231\) | 5.07482 | 0.333899 | ||||||||
\(232\) | −1.86031 | + | 12.9387i | −0.122135 | + | 0.849470i | ||||
\(233\) | −6.40472 | − | 14.0244i | −0.419587 | − | 0.918768i | −0.994903 | − | 0.100837i | \(-0.967848\pi\) |
0.575316 | − | 0.817931i | \(-0.304879\pi\) | |||||||
\(234\) | −1.96890 | − | 0.578123i | −0.128711 | − | 0.0377931i | ||||
\(235\) | 1.93027 | + | 2.22766i | 0.125917 | + | 0.145316i | ||||
\(236\) | −3.37682 | + | 0.991523i | −0.219812 | + | 0.0645427i | ||||
\(237\) | −4.51918 | − | 2.90430i | −0.293552 | − | 0.188654i | ||||
\(238\) | 3.27676 | − | 7.17510i | 0.212401 | − | 0.465093i | ||||
\(239\) | −13.6319 | + | 15.7321i | −0.881775 | + | 1.01762i | 0.117923 | + | 0.993023i | \(0.462376\pi\) |
−0.999697 | + | 0.0245994i | \(0.992169\pi\) | |||||||
\(240\) | −3.48715 | + | 2.24106i | −0.225095 | + | 0.144659i | ||||
\(241\) | −3.99284 | − | 27.7708i | −0.257202 | − | 1.78888i | −0.552543 | − | 0.833485i | \(-0.686342\pi\) |
0.295341 | − | 0.955392i | \(-0.404567\pi\) | |||||||
\(242\) | 2.75000 | + | 19.1267i | 0.176777 | + | 1.22951i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | −0.613097 | + | 0.707551i | −0.0392495 | + | 0.0452963i | ||||
\(245\) | 0.514063 | − | 1.12564i | 0.0328423 | − | 0.0719146i | ||||
\(246\) | 6.59197 | + | 4.23640i | 0.420288 | + | 0.270103i | ||||
\(247\) | −8.64779 | + | 2.53922i | −0.550246 | + | 0.161567i | ||||
\(248\) | −4.87275 | − | 5.62346i | −0.309420 | − | 0.357090i | ||||
\(249\) | 3.24128 | + | 0.951726i | 0.205408 | + | 0.0603132i | ||||
\(250\) | 5.70178 | + | 12.4852i | 0.360612 | + | 0.789631i | ||||
\(251\) | 0.502591 | − | 3.49560i | 0.0317233 | − | 0.220640i | −0.967793 | − | 0.251748i | \(-0.918995\pi\) |
0.999516 | + | 0.0311081i | \(0.00990360\pi\) | |||||||
\(252\) | −0.284630 | −0.0179300 | ||||||||
\(253\) | 18.9025 | − | 15.3308i | 1.18839 | − | 0.963841i | ||||
\(254\) | 8.66417 | 0.543638 | ||||||||
\(255\) | 1.06064 | − | 7.37691i | 0.0664198 | − | 0.461960i | ||||
\(256\) | −2.77755 | − | 6.08198i | −0.173597 | − | 0.380124i | ||||
\(257\) | −20.2053 | − | 5.93280i | −1.26037 | − | 0.370078i | −0.417737 | − | 0.908568i | \(-0.637177\pi\) |
−0.842632 | + | 0.538490i | \(0.818995\pi\) | |||||||
\(258\) | −1.73975 | − | 2.00778i | −0.108312 | − | 0.124999i | ||||
\(259\) | −8.15110 | + | 2.39338i | −0.506485 | + | 0.148717i | ||||
\(260\) | 0.464243 | + | 0.298351i | 0.0287911 | + | 0.0185029i | ||||
\(261\) | 1.81477 | − | 3.97380i | 0.112332 | − | 0.245972i | ||||
\(262\) | 2.90031 | − | 3.34714i | 0.179182 | − | 0.206787i | ||||
\(263\) | 20.8890 | − | 13.4245i | 1.28807 | − | 0.827793i | 0.296211 | − | 0.955123i | \(-0.404277\pi\) |
0.991860 | + | 0.127329i | \(0.0406405\pi\) | |||||||
\(264\) | −2.16105 | − | 15.0305i | −0.133004 | − | 0.925061i | ||||
\(265\) | 1.14011 | + | 7.92965i | 0.0700365 | + | 0.487115i | ||||
\(266\) | 6.33819 | − | 4.07331i | 0.388619 | − | 0.249751i | ||||
\(267\) | −4.55390 | + | 5.25548i | −0.278694 | + | 0.321630i | ||||
\(268\) | −1.43614 | + | 3.14471i | −0.0877264 | + | 0.192094i | ||||
\(269\) | −21.5571 | − | 13.8539i | −1.31436 | − | 0.844687i | −0.319662 | − | 0.947532i | \(-0.603569\pi\) |
−0.994697 | + | 0.102844i | \(0.967206\pi\) | |||||||
\(270\) | 1.55509 | − | 0.456615i | 0.0946397 | − | 0.0277887i | ||||
\(271\) | 2.53472 | + | 2.92523i | 0.153973 | + | 0.177695i | 0.827496 | − | 0.561472i | \(-0.189765\pi\) |
−0.673522 | + | 0.739167i | \(0.735219\pi\) | |||||||
\(272\) | −19.3568 | − | 5.68368i | −1.17368 | − | 0.344624i | ||||
\(273\) | −0.650858 | − | 1.42518i | −0.0393917 | − | 0.0862558i | ||||
\(274\) | 2.56299 | − | 17.8260i | 0.154836 | − | 1.07691i | ||||
\(275\) | −17.6029 | −1.06149 | ||||||||
\(276\) | −1.06018 | + | 0.859855i | −0.0638151 | + | 0.0517572i | ||||
\(277\) | 22.2525 | 1.33702 | 0.668512 | − | 0.743701i | \(-0.266931\pi\) | ||||
0.668512 | + | 0.743701i | \(0.266931\pi\) | |||||||
\(278\) | 0.621271 | − | 4.32103i | 0.0372614 | − | 0.259158i | ||||
\(279\) | 1.03303 | + | 2.26202i | 0.0618459 | + | 0.135424i | ||||
\(280\) | −3.55280 | − | 1.04320i | −0.212320 | − | 0.0623429i | ||||
\(281\) | −5.21094 | − | 6.01375i | −0.310859 | − | 0.358750i | 0.578725 | − | 0.815523i | \(-0.303551\pi\) |
−0.889583 | + | 0.456773i | \(0.849005\pi\) | |||||||
\(282\) | −2.99334 | + | 0.878925i | −0.178251 | + | 0.0523392i | ||||
\(283\) | 18.1352 | + | 11.6548i | 1.07803 | + | 0.692807i | 0.954101 | − | 0.299485i | \(-0.0968148\pi\) |
0.123927 | + | 0.992291i | \(0.460451\pi\) | |||||||
\(284\) | 0.969495 | − | 2.12290i | 0.0575289 | − | 0.125971i | ||||
\(285\) | 4.66168 | − | 5.37987i | 0.276134 | − | 0.318676i | ||||
\(286\) | 8.76053 | − | 5.63005i | 0.518021 | − | 0.332912i | ||||
\(287\) | 0.851450 | + | 5.92197i | 0.0502595 | + | 0.349563i | ||||
\(288\) | 0.227312 | + | 1.58099i | 0.0133945 | + | 0.0931608i | ||||
\(289\) | 16.2123 | − | 10.4190i | 0.953665 | − | 0.612884i | ||||
\(290\) | 4.63663 | − | 5.35096i | 0.272272 | − | 0.314219i | ||||
\(291\) | −7.11408 | + | 15.5777i | −0.417034 | + | 0.913178i | ||||
\(292\) | −1.04520 | − | 0.671708i | −0.0611656 | − | 0.0393087i | ||||
\(293\) | −27.7947 | + | 8.16126i | −1.62378 | + | 0.476786i | −0.962032 | − | 0.272937i | \(-0.912005\pi\) |
−0.661752 | + | 0.749723i | \(0.730187\pi\) | |||||||
\(294\) | 0.857685 | + | 0.989821i | 0.0500212 | + | 0.0577276i | ||||
\(295\) | 14.6812 | + | 4.31079i | 0.854773 | + | 0.250984i | ||||
\(296\) | 10.5597 | + | 23.1225i | 0.613770 | + | 1.34397i | ||||
\(297\) | −0.722222 | + | 5.02317i | −0.0419076 | + | 0.291474i | ||||
\(298\) | 22.1477 | 1.28298 | ||||||||
\(299\) | −6.72970 | − | 3.34223i | −0.389189 | − | 0.193286i | ||||
\(300\) | 0.987287 | 0.0570010 | ||||||||
\(301\) | 0.288676 | − | 2.00778i | 0.0166390 | − | 0.115727i | ||||
\(302\) | 6.71817 | + | 14.7107i | 0.386587 | + | 0.846508i | ||||
\(303\) | −4.78222 | − | 1.40419i | −0.274731 | − | 0.0806684i | ||||
\(304\) | −12.6188 | − | 14.5629i | −0.723738 | − | 0.835238i | ||||
\(305\) | 3.90549 | − | 1.14676i | 0.223628 | − | 0.0656631i | ||||
\(306\) | 6.63574 | + | 4.26453i | 0.379340 | + | 0.243787i | ||||
\(307\) | −5.49019 | + | 12.0218i | −0.313342 | + | 0.686123i | −0.999131 | − | 0.0416775i | \(-0.986730\pi\) |
0.685789 | + | 0.727800i | \(0.259457\pi\) | |||||||
\(308\) | 0.945910 | − | 1.09164i | 0.0538982 | − | 0.0622019i | ||||
\(309\) | 5.08966 | − | 3.27092i | 0.289540 | − | 0.186076i | ||||
\(310\) | 0.573580 | + | 3.98934i | 0.0325772 | + | 0.226579i | ||||
\(311\) | 2.29477 | + | 15.9605i | 0.130124 | + | 0.905034i | 0.945389 | + | 0.325945i | \(0.105683\pi\) |
−0.815264 | + | 0.579089i | \(0.803408\pi\) | |||||||
\(312\) | −3.94390 | + | 2.53459i | −0.223279 | + | 0.143493i | ||||
\(313\) | 4.28466 | − | 4.94476i | 0.242183 | − | 0.279495i | −0.621625 | − | 0.783315i | \(-0.713527\pi\) |
0.863808 | + | 0.503820i | \(0.168073\pi\) | |||||||
\(314\) | 11.0700 | − | 24.2398i | 0.624714 | − | 1.36793i | ||||
\(315\) | 1.04103 | + | 0.669026i | 0.0586551 | + | 0.0376954i | ||||
\(316\) | −1.46708 | + | 0.430774i | −0.0825298 | + | 0.0242329i | ||||
\(317\) | 10.5478 | + | 12.1728i | 0.592424 | + | 0.683694i | 0.970228 | − | 0.242192i | \(-0.0778663\pi\) |
−0.377804 | + | 0.925885i | \(0.623321\pi\) | |||||||
\(318\) | −8.13549 | − | 2.38879i | −0.456215 | − | 0.133957i | ||||
\(319\) | 9.20965 | + | 20.1663i | 0.515641 | + | 1.12910i | ||||
\(320\) | −1.54826 | + | 10.7684i | −0.0865501 | + | 0.601969i | ||||
\(321\) | −16.8783 | −0.942055 | ||||||||
\(322\) | 6.18488 | + | 1.09581i | 0.344670 | + | 0.0610670i | ||||
\(323\) | 34.6452 | 1.92771 | ||||||||
\(324\) | 0.0405070 | − | 0.281733i | 0.00225039 | − | 0.0156518i | ||||
\(325\) | 2.25761 | + | 4.94348i | 0.125230 | + | 0.274215i | ||||
\(326\) | −9.85740 | − | 2.89439i | −0.545951 | − | 0.160306i | ||||
\(327\) | 5.86742 | + | 6.77137i | 0.324469 | + | 0.374457i | ||||
\(328\) | 17.1769 | − | 5.04360i | 0.948438 | − | 0.278486i | ||||
\(329\) | −2.00384 | − | 1.28779i | −0.110475 | − | 0.0709981i | ||||
\(330\) | −3.41677 | + | 7.48169i | −0.188087 | + | 0.411853i | ||||
\(331\) | −6.68170 | + | 7.71110i | −0.367260 | + | 0.423840i | −0.909059 | − | 0.416668i | \(-0.863198\pi\) |
0.541799 | + | 0.840508i | \(0.317743\pi\) | |||||||
\(332\) | 0.808876 | − | 0.519833i | 0.0443928 | − | 0.0285295i | ||||
\(333\) | −1.20900 | − | 8.40875i | −0.0662525 | − | 0.460796i | ||||
\(334\) | 0.374285 | + | 2.60321i | 0.0204800 | + | 0.142441i | ||||
\(335\) | 12.6444 | − | 8.12603i | 0.690835 | − | 0.443973i | ||||
\(336\) | 2.19360 | − | 2.53155i | 0.119671 | − | 0.138108i | ||||
\(337\) | 10.0645 | − | 22.0381i | 0.548246 | − | 1.20049i | −0.409351 | − | 0.912377i | \(-0.634245\pi\) |
0.957596 | − | 0.288113i | \(-0.0930280\pi\) | |||||||
\(338\) | 11.6188 | + | 7.46697i | 0.631981 | + | 0.406150i | ||||
\(339\) | 16.4166 | − | 4.82035i | 0.891628 | − | 0.261806i | ||||
\(340\) | −1.38914 | − | 1.60316i | −0.0753368 | − | 0.0869434i | ||||
\(341\) | −12.1086 | − | 3.55540i | −0.655716 | − | 0.192536i | ||||
\(342\) | 3.12983 | + | 6.85337i | 0.169242 | + | 0.370588i | ||||
\(343\) | −0.142315 | + | 0.989821i | −0.00768428 | + | 0.0534453i | ||||
\(344\) | −6.06952 | −0.327247 | ||||||||
\(345\) | 5.89867 | − | 0.652938i | 0.317573 | − | 0.0351530i | ||||
\(346\) | 3.15548 | 0.169639 | ||||||||
\(347\) | 0.640065 | − | 4.45175i | 0.0343605 | − | 0.238983i | −0.965402 | − | 0.260765i | \(-0.916025\pi\) |
0.999763 | + | 0.0217828i | \(0.00693422\pi\) | |||||||
\(348\) | −0.516538 | − | 1.13106i | −0.0276894 | − | 0.0606313i | ||||
\(349\) | 20.2000 | + | 5.93127i | 1.08128 | + | 0.317493i | 0.773392 | − | 0.633928i | \(-0.218558\pi\) |
0.307891 | + | 0.951422i | \(0.400377\pi\) | |||||||
\(350\) | −2.97503 | − | 3.43336i | −0.159022 | − | 0.183521i | ||||
\(351\) | 1.50330 | − | 0.441409i | 0.0802402 | − | 0.0235607i | ||||
\(352\) | −6.81899 | − | 4.38230i | −0.363453 | − | 0.233577i | ||||
\(353\) | 12.7699 | − | 27.9622i | 0.679675 | − | 1.48828i | −0.183313 | − | 0.983055i | \(-0.558682\pi\) |
0.862987 | − | 0.505225i | \(-0.168591\pi\) | |||||||
\(354\) | −10.6051 | + | 12.2389i | −0.563653 | + | 0.650490i | ||||
\(355\) | −8.53580 | + | 5.48563i | −0.453033 | + | 0.291147i | ||||
\(356\) | 0.281686 | + | 1.95917i | 0.0149293 | + | 0.103836i | ||||
\(357\) | 0.857104 | + | 5.96129i | 0.0453628 | + | 0.315505i | ||||
\(358\) | −28.4172 | + | 18.2626i | −1.50190 | + | 0.965210i | ||||
\(359\) | −8.50587 | + | 9.81630i | −0.448923 | + | 0.518084i | −0.934429 | − | 0.356149i | \(-0.884090\pi\) |
0.485507 | + | 0.874233i | \(0.338635\pi\) | |||||||
\(360\) | 1.53819 | − | 3.36818i | 0.0810700 | − | 0.177518i | ||||
\(361\) | 11.8547 | + | 7.61855i | 0.623931 | + | 0.400976i | ||||
\(362\) | 13.8113 | − | 4.05538i | 0.725908 | − | 0.213146i | ||||
\(363\) | −9.66168 | − | 11.1502i | −0.507107 | − | 0.585232i | ||||
\(364\) | −0.427884 | − | 0.125638i | −0.0224272 | − | 0.00658522i | ||||
\(365\) | 2.24392 | + | 4.91351i | 0.117452 | + | 0.257185i | ||||
\(366\) | −0.613097 | + | 4.26418i | −0.0320471 | + | 0.222892i | ||||
\(367\) | −5.19518 | −0.271186 | −0.135593 | − | 0.990765i | \(-0.543294\pi\) | ||||
−0.135593 | + | 0.990765i | \(0.543294\pi\) | |||||||
\(368\) | 0.522909 | − | 16.0562i | 0.0272585 | − | 0.836988i | ||||
\(369\) | −5.98286 | −0.311455 | ||||||||
\(370\) | 1.95947 | − | 13.6284i | 0.101868 | − | 0.708506i | ||||
\(371\) | −2.68934 | − | 5.88882i | −0.139623 | − | 0.305732i | ||||
\(372\) | 0.679130 | + | 0.199410i | 0.0352112 | + | 0.0103389i | ||||
\(373\) | −7.20454 | − | 8.31448i | −0.373037 | − | 0.430507i | 0.537928 | − | 0.842991i | \(-0.319207\pi\) |
−0.910965 | + | 0.412483i | \(0.864662\pi\) | |||||||
\(374\) | −38.4083 | + | 11.2777i | −1.98604 | + | 0.583155i | ||||
\(375\) | −8.81610 | − | 5.66576i | −0.455261 | − | 0.292579i | ||||
\(376\) | −2.96082 | + | 6.48330i | −0.152693 | + | 0.334351i | ||||
\(377\) | 4.48222 | − | 5.17276i | 0.230846 | − | 0.266411i | ||||
\(378\) | −1.10181 | + | 0.708089i | −0.0566709 | + | 0.0364202i | ||||
\(379\) | 3.36674 | + | 23.4162i | 0.172938 | + | 1.20281i | 0.872636 | + | 0.488371i | \(0.162409\pi\) |
−0.699698 | + | 0.714438i | \(0.746682\pi\) | |||||||
\(380\) | −0.288353 | − | 2.00554i | −0.0147922 | − | 0.102882i | ||||
\(381\) | −5.56512 | + | 3.57649i | −0.285110 | + | 0.183229i | ||||
\(382\) | −9.46636 | + | 10.9248i | −0.484341 | + | 0.558959i | ||||
\(383\) | −8.94526 | + | 19.5874i | −0.457081 | + | 1.00087i | 0.531062 | + | 0.847333i | \(0.321793\pi\) |
−0.988143 | + | 0.153536i | \(0.950934\pi\) | |||||||
\(384\) | −6.99906 | − | 4.49802i | −0.357169 | − | 0.229539i | ||||
\(385\) | −6.02555 | + | 1.76926i | −0.307091 | + | 0.0901699i | ||||
\(386\) | −16.2794 | − | 18.7874i | −0.828599 | − | 0.956254i | ||||
\(387\) | 1.94626 | + | 0.571475i | 0.0989341 | + | 0.0290497i | ||||
\(388\) | 2.02488 | + | 4.43386i | 0.102798 | + | 0.225095i | ||||
\(389\) | 4.91397 | − | 34.1774i | 0.249148 | − | 1.73286i | −0.354010 | − | 0.935242i | \(-0.615182\pi\) |
0.603158 | − | 0.797621i | \(-0.293909\pi\) | |||||||
\(390\) | 2.53932 | 0.128583 | ||||||||
\(391\) | 21.2013 | + | 19.6151i | 1.07220 | + | 0.991976i | ||||
\(392\) | 2.99223 | 0.151130 | ||||||||
\(393\) | −0.481246 | + | 3.34714i | −0.0242757 | + | 0.168841i | ||||
\(394\) | −6.96118 | − | 15.2429i | −0.350699 | − | 0.767924i | ||||
\(395\) | 6.37835 | + | 1.87285i | 0.320930 | + | 0.0942335i | ||||
\(396\) | 0.945910 | + | 1.09164i | 0.0475338 | + | 0.0548569i | ||||
\(397\) | 16.4741 | − | 4.83725i | 0.826814 | − | 0.242774i | 0.159166 | − | 0.987252i | \(-0.449119\pi\) |
0.667648 | + | 0.744477i | \(0.267301\pi\) | |||||||
\(398\) | 1.37867 | + | 0.886021i | 0.0691067 | + | 0.0444122i | ||||
\(399\) | −2.38969 | + | 5.23269i | −0.119634 | + | 0.261962i | ||||
\(400\) | −7.60889 | + | 8.78113i | −0.380445 | + | 0.439056i | ||||
\(401\) | 8.84134 | − | 5.68199i | 0.441516 | − | 0.283745i | −0.300936 | − | 0.953644i | \(-0.597299\pi\) |
0.742452 | + | 0.669899i | \(0.233663\pi\) | |||||||
\(402\) | 2.26394 | + | 15.7460i | 0.112915 | + | 0.785341i | ||||
\(403\) | 0.554479 | + | 3.85648i | 0.0276206 | + | 0.192105i | ||||
\(404\) | −1.19342 | + | 0.766967i | −0.0593751 | + | 0.0381580i | ||||
\(405\) | −0.810370 | + | 0.935217i | −0.0402676 | + | 0.0464713i | ||||
\(406\) | −2.37685 | + | 5.20457i | −0.117961 | + | 0.258299i | ||||
\(407\) | 36.2679 | + | 23.3079i | 1.79773 | + | 1.15533i | ||||
\(408\) | 17.2910 | − | 5.07709i | 0.856032 | − | 0.251354i | ||||
\(409\) | 20.8200 | + | 24.0276i | 1.02948 | + | 1.18809i | 0.981935 | + | 0.189217i | \(0.0605950\pi\) |
0.0475471 | + | 0.998869i | \(0.484860\pi\) | |||||||
\(410\) | −9.30388 | − | 2.73187i | −0.459486 | − | 0.134917i | ||||
\(411\) | 5.71216 | + | 12.5079i | 0.281760 | + | 0.616969i | ||||
\(412\) | 0.245071 | − | 1.70451i | 0.0120738 | − | 0.0839750i | ||||
\(413\) | −12.3648 | −0.608430 | ||||||||
\(414\) | −1.96485 | + | 5.96598i | −0.0965673 | + | 0.293212i | ||||
\(415\) | −4.18032 | −0.205204 | ||||||||
\(416\) | −0.356145 | + | 2.47704i | −0.0174614 | + | 0.121447i | ||||
\(417\) | 1.38463 | + | 3.03192i | 0.0678057 | + | 0.148474i | ||||
\(418\) | −36.6860 | − | 10.7720i | −1.79437 | − | 0.526876i | ||||
\(419\) | −9.00481 | − | 10.3921i | −0.439914 | − | 0.507687i | 0.491886 | − | 0.870659i | \(-0.336308\pi\) |
−0.931800 | + | 0.362972i | \(0.881762\pi\) | |||||||
\(420\) | 0.337953 | − | 0.0992320i | 0.0164904 | − | 0.00484202i | ||||
\(421\) | 9.14507 | + | 5.87718i | 0.445704 | + | 0.286436i | 0.744178 | − | 0.667981i | \(-0.232841\pi\) |
−0.298474 | + | 0.954418i | \(0.596478\pi\) | |||||||
\(422\) | −1.26481 | + | 2.76955i | −0.0615701 | + | 0.134820i | ||||
\(423\) | 1.55986 | − | 1.80017i | 0.0758428 | − | 0.0875273i | ||||
\(424\) | −16.2961 | + | 10.4729i | −0.791410 | + | 0.508608i | ||||
\(425\) | −2.97301 | − | 20.6778i | −0.144212 | − | 1.00302i | ||||
\(426\) | −1.52831 | − | 10.6296i | −0.0740470 | − | 0.515008i | ||||
\(427\) | −2.76711 | + | 1.77832i | −0.133910 | + | 0.0860587i | ||||
\(428\) | −3.14600 | + | 3.63067i | −0.152067 | + | 0.175495i | ||||
\(429\) | −3.30299 | + | 7.23253i | −0.159470 | + | 0.349190i | ||||
\(430\) | 2.76567 | + | 1.77739i | 0.133372 | + | 0.0857132i | ||||
\(431\) | −7.39486 | + | 2.17133i | −0.356198 | + | 0.104589i | −0.454935 | − | 0.890524i | \(-0.650338\pi\) |
0.0987377 | + | 0.995113i | \(0.468520\pi\) | |||||||
\(432\) | 2.19360 | + | 2.53155i | 0.105540 | + | 0.121799i | ||||
\(433\) | 34.7859 | + | 10.2141i | 1.67170 | + | 0.490856i | 0.974192 | − | 0.225719i | \(-0.0724731\pi\) |
0.697510 | + | 0.716575i | \(0.254291\pi\) | |||||||
\(434\) | −1.35298 | − | 2.96262i | −0.0649452 | − | 0.142210i | ||||
\(435\) | −0.769352 | + | 5.35096i | −0.0368876 | + | 0.256559i | ||||
\(436\) | 2.55023 | 0.122134 | ||||||||
\(437\) | 6.90675 | + | 26.7097i | 0.330395 | + | 1.27770i | ||||
\(438\) | −5.71703 | −0.273170 | ||||||||
\(439\) | 5.05375 | − | 35.1496i | 0.241202 | − | 1.67760i | −0.404911 | − | 0.914356i | \(-0.632698\pi\) |
0.646113 | − | 0.763242i | \(-0.276393\pi\) | |||||||
\(440\) | 7.80606 | + | 17.0929i | 0.372139 | + | 0.814872i | ||||
\(441\) | −0.959493 | − | 0.281733i | −0.0456901 | − | 0.0134158i | ||||
\(442\) | 8.09311 | + | 9.33994i | 0.384950 | + | 0.444256i | ||||
\(443\) | 16.0351 | − | 4.70833i | 0.761850 | − | 0.223699i | 0.122347 | − | 0.992487i | \(-0.460958\pi\) |
0.639504 | + | 0.768788i | \(0.279140\pi\) | |||||||
\(444\) | −2.03414 | − | 1.30726i | −0.0965362 | − | 0.0620400i | ||||
\(445\) | 3.57480 | − | 7.82771i | 0.169462 | − | 0.371069i | ||||
\(446\) | −17.0355 | + | 19.6600i | −0.806655 | + | 0.930929i | ||||
\(447\) | −14.2258 | + | 9.14236i | −0.672856 | + | 0.432419i | ||||
\(448\) | −1.25115 | − | 8.70192i | −0.0591111 | − | 0.411127i | ||||
\(449\) | 3.04200 | + | 21.1575i | 0.143561 | + | 0.998486i | 0.926475 | + | 0.376357i | \(0.122823\pi\) |
−0.782914 | + | 0.622130i | \(0.786268\pi\) | |||||||
\(450\) | 3.82181 | − | 2.45613i | 0.180162 | − | 0.115783i | ||||
\(451\) | 19.8829 | − | 22.9460i | 0.936247 | − | 1.08049i | ||||
\(452\) | 2.02304 | − | 4.42984i | 0.0951557 | − | 0.208362i | ||||
\(453\) | −10.3876 | − | 6.67573i | −0.488054 | − | 0.313653i | ||||
\(454\) | 19.5336 | − | 5.73558i | 0.916757 | − | 0.269184i | ||||
\(455\) | 1.26966 | + | 1.46527i | 0.0595226 | + | 0.0686927i | ||||
\(456\) | 16.5157 | + | 4.84944i | 0.773417 | + | 0.227096i | ||||
\(457\) | −4.45265 | − | 9.74994i | −0.208286 | − | 0.456083i | 0.776441 | − | 0.630191i | \(-0.217023\pi\) |
−0.984727 | + | 0.174108i | \(0.944296\pi\) | |||||||
\(458\) | −0.765154 | + | 5.32177i | −0.0357533 | + | 0.248670i | ||||
\(459\) | −6.02259 | −0.281111 | ||||||||
\(460\) | 0.959016 | − | 1.39056i | 0.0447144 | − | 0.0648351i | ||||
\(461\) | −33.0490 | −1.53924 | −0.769622 | − | 0.638500i | \(-0.779555\pi\) | ||||
−0.769622 | + | 0.638500i | \(0.779555\pi\) | |||||||
\(462\) | 0.945910 | − | 6.57895i | 0.0440077 | − | 0.306080i | ||||
\(463\) | −0.336321 | − | 0.736440i | −0.0156301 | − | 0.0342253i | 0.901656 | − | 0.432454i | \(-0.142352\pi\) |
−0.917286 | + | 0.398229i | \(0.869625\pi\) | |||||||
\(464\) | 14.0408 | + | 4.12275i | 0.651827 | + | 0.191394i | ||||
\(465\) | −2.01518 | − | 2.32564i | −0.0934518 | − | 0.107849i | ||||
\(466\) | −19.3749 | + | 5.68898i | −0.897524 | + | 0.263537i | ||||
\(467\) | −0.800368 | − | 0.514365i | −0.0370366 | − | 0.0238020i | 0.521992 | − | 0.852951i | \(-0.325189\pi\) |
−0.559028 | + | 0.829149i | \(0.688826\pi\) | |||||||
\(468\) | 0.185253 | − | 0.405649i | 0.00856335 | − | 0.0187511i | ||||
\(469\) | −7.95398 | + | 9.17938i | −0.367280 | + | 0.423864i | ||||
\(470\) | 3.24770 | − | 2.08717i | 0.149805 | − | 0.0962740i | ||||
\(471\) | 2.89558 | + | 20.1392i | 0.133421 | + | 0.927965i | ||||
\(472\) | 5.26539 | + | 36.6216i | 0.242359 | + | 1.68565i | ||||
\(473\) | −8.65979 | + | 5.56531i | −0.398178 | + | 0.255893i | ||||
\(474\) | −4.60745 | + | 5.31728i | −0.211627 | + | 0.244231i | ||||
\(475\) | 8.28905 | − | 18.1505i | 0.380328 | − | 0.832802i | ||||
\(476\) | 1.44208 | + | 0.926771i | 0.0660978 | + | 0.0424785i | ||||
\(477\) | 6.21162 | − | 1.82389i | 0.284410 | − | 0.0835104i | ||||
\(478\) | 17.8540 | + | 20.6046i | 0.816623 | + | 0.942433i | ||||
\(479\) | −9.99872 | − | 2.93589i | −0.456853 | − | 0.134144i | 0.0452055 | − | 0.998978i | \(-0.485606\pi\) |
−0.502059 | + | 0.864833i | \(0.667424\pi\) | |||||||
\(480\) | −0.821087 | − | 1.79793i | −0.0374773 | − | 0.0820638i | ||||
\(481\) | 1.89421 | − | 13.1745i | 0.0863686 | − | 0.600707i | ||||
\(482\) | −36.7461 | −1.67374 | ||||||||
\(483\) | −4.42498 | + | 1.84921i | −0.201343 | + | 0.0841418i | ||||
\(484\) | −4.19937 | −0.190880 | ||||||||
\(485\) | 3.01593 | − | 20.9762i | 0.136946 | − | 0.952482i | ||||
\(486\) | −0.544078 | − | 1.19136i | −0.0246799 | − | 0.0540414i | ||||
\(487\) | −14.8598 | − | 4.36324i | −0.673364 | − | 0.197717i | −0.0728634 | − | 0.997342i | \(-0.523214\pi\) |
−0.600500 | + | 0.799625i | \(0.705032\pi\) | |||||||
\(488\) | 6.44531 | + | 7.43828i | 0.291765 | + | 0.336715i | ||||
\(489\) | 7.52633 | − | 2.20993i | 0.340353 | − | 0.0999365i | ||||
\(490\) | −1.36345 | − | 0.876238i | −0.0615945 | − | 0.0395844i | ||||
\(491\) | 0.509450 | − | 1.11554i | 0.0229911 | − | 0.0503436i | −0.897788 | − | 0.440428i | \(-0.854827\pi\) |
0.920779 | + | 0.390084i | \(0.127554\pi\) | |||||||
\(492\) | −1.11516 | + | 1.28697i | −0.0502754 | + | 0.0580209i | ||||
\(493\) | −22.1335 | + | 14.2244i | −0.996844 | + | 0.640633i | ||||
\(494\) | 1.67994 | + | 11.6842i | 0.0755839 | + | 0.525697i | ||||
\(495\) | −0.893728 | − | 6.21601i | −0.0401701 | − | 0.279389i | ||||
\(496\) | −7.00756 | + | 4.50349i | −0.314649 | + | 0.202213i | ||||
\(497\) | 5.36948 | − | 6.19671i | 0.240854 | − | 0.277960i | ||||
\(498\) | 1.83796 | − | 4.02457i | 0.0823609 | − | 0.180345i | ||||
\(499\) | −3.32849 | − | 2.13909i | −0.149004 | − | 0.0957588i | 0.464015 | − | 0.885827i | \(-0.346408\pi\) |
−0.613018 | + | 0.790069i | \(0.710045\pi\) | |||||||
\(500\) | −2.86201 | + | 0.840363i | −0.127993 | + | 0.0375822i | ||||
\(501\) | −1.31499 | − | 1.51758i | −0.0587495 | − | 0.0678005i | ||||
\(502\) | −4.43798 | − | 1.30311i | −0.198077 | − | 0.0581606i | ||||
\(503\) | −1.25095 | − | 2.73920i | −0.0557771 | − | 0.122135i | 0.879691 | − | 0.475545i | \(-0.157749\pi\) |
−0.935468 | + | 0.353410i | \(0.885022\pi\) | |||||||
\(504\) | −0.425839 | + | 2.96177i | −0.0189684 | + | 0.131928i | ||||
\(505\) | 6.16768 | 0.274458 | ||||||||
\(506\) | −16.3515 | − | 27.3625i | −0.726911 | − | 1.21641i | ||||
\(507\) | −10.5452 | −0.468331 | ||||||||
\(508\) | −0.267965 | + | 1.86374i | −0.0118890 | + | 0.0826900i | ||||
\(509\) | 10.4783 | + | 22.9444i | 0.464444 | + | 1.01699i | 0.986452 | + | 0.164051i | \(0.0524560\pi\) |
−0.522008 | + | 0.852941i | \(0.674817\pi\) | |||||||
\(510\) | −9.36566 | − | 2.75001i | −0.414719 | − | 0.121772i | ||||
\(511\) | −2.85852 | − | 3.29890i | −0.126453 | − | 0.145935i | ||||
\(512\) | −24.3679 | + | 7.15506i | −1.07692 | + | 0.316212i | ||||
\(513\) | −4.83934 | − | 3.11006i | −0.213662 | − | 0.137312i | ||||
\(514\) | −11.4573 | + | 25.0881i | −0.505361 | + | 1.10659i | ||||
\(515\) | −4.90281 | + | 5.65814i | −0.216044 | + | 0.249328i | ||||
\(516\) | 0.485699 | − | 0.312140i | 0.0213817 | − | 0.0137412i | ||||
\(517\) | 1.72031 | + | 11.9650i | 0.0756591 | + | 0.526221i | ||||
\(518\) | 1.58345 | + | 11.0131i | 0.0695727 | + | 0.483889i | ||||
\(519\) | −2.02681 | + | 1.30255i | −0.0889670 | + | 0.0571756i | ||||
\(520\) | 3.79911 | − | 4.38441i | 0.166602 | − | 0.192269i | ||||
\(521\) | −9.68150 | + | 21.1995i | −0.424154 | + | 0.928768i | 0.570085 | + | 0.821586i | \(0.306910\pi\) |
−0.994239 | + | 0.107183i | \(0.965817\pi\) | |||||||
\(522\) | −4.81334 | − | 3.09334i | −0.210674 | − | 0.135392i | ||||
\(523\) | −43.0007 | + | 12.6261i | −1.88029 | + | 0.552103i | −0.883851 | + | 0.467768i | \(0.845058\pi\) |
−0.996437 | + | 0.0843350i | \(0.973123\pi\) | |||||||
\(524\) | 0.630299 | + | 0.727403i | 0.0275347 | + | 0.0317768i | ||||
\(525\) | 3.32816 | + | 0.977237i | 0.145253 | + | 0.0426501i | ||||
\(526\) | −13.5099 | − | 29.5825i | −0.589059 | − | 1.28986i | ||||
\(527\) | 2.13140 | − | 14.8242i | 0.0928451 | − | 0.645752i | ||||
\(528\) | −16.9993 | −0.739798 | ||||||||
\(529\) | −10.8956 | + | 20.2555i | −0.473721 | + | 0.880675i | ||||
\(530\) | 10.4924 | 0.455762 | ||||||||
\(531\) | 1.75969 | − | 12.2389i | 0.0763640 | − | 0.531123i | ||||
\(532\) | 0.680177 | + | 1.48938i | 0.0294894 | + | 0.0645728i | ||||
\(533\) | −8.99404 | − | 2.64089i | −0.389575 | − | 0.114390i | ||||
\(534\) | 5.96434 | + | 6.88322i | 0.258102 | + | 0.297866i | ||||
\(535\) | 20.0403 | − | 5.88438i | 0.866420 | − | 0.254404i | ||||
\(536\) | 30.5743 | + | 19.6489i | 1.32061 | + | 0.848705i | ||||
\(537\) | 10.7141 | − | 23.4607i | 0.462350 | − | 1.01240i | ||||
\(538\) | −21.9782 | + | 25.3641i | −0.947545 | + | 1.09353i | ||||
\(539\) | 4.26921 | − | 2.74365i | 0.183888 | − | 0.118178i | ||||
\(540\) | 0.0501262 | + | 0.348635i | 0.00215709 | + | 0.0150029i | ||||
\(541\) | −3.08437 | − | 21.4522i | −0.132607 | − | 0.922304i | −0.942138 | − | 0.335226i | \(-0.891187\pi\) |
0.809531 | − | 0.587078i | \(-0.199722\pi\) | |||||||
\(542\) | 4.26469 | − | 2.74075i | 0.183184 | − | 0.117725i | ||||
\(543\) | −7.19721 | + | 8.30602i | −0.308862 | + | 0.356445i | ||||
\(544\) | 3.99612 | − | 8.75027i | 0.171332 | − | 0.375165i | ||||
\(545\) | −9.32738 | − | 5.99434i | −0.399541 | − | 0.256769i | ||||
\(546\) | −1.96890 | + | 0.578123i | −0.0842614 | + | 0.0247414i | ||||
\(547\) | −16.6646 | − | 19.2319i | −0.712525 | − | 0.822298i | 0.277862 | − | 0.960621i | \(-0.410374\pi\) |
−0.990387 | + | 0.138323i | \(0.955829\pi\) | |||||||
\(548\) | 3.75526 | + | 1.10264i | 0.160417 | + | 0.0471027i | ||||
\(549\) | −1.36641 | − | 2.99203i | −0.0583171 | − | 0.127697i | ||||
\(550\) | −3.28105 | + | 22.8202i | −0.139904 | + | 0.973057i | ||||
\(551\) | −25.1304 | −1.07059 | ||||||||
\(552\) | 7.36125 | + | 12.3183i | 0.313316 | + | 0.524302i | ||||
\(553\) | −5.37195 | −0.228439 | ||||||||
\(554\) | 4.14771 | − | 28.8480i | 0.176219 | − | 1.22563i | ||||
\(555\) | 4.36708 | + | 9.56257i | 0.185372 | + | 0.405908i | ||||
\(556\) | 0.910278 | + | 0.267282i | 0.0386044 | + | 0.0113353i | ||||
\(557\) | −4.68482 | − | 5.40657i | −0.198502 | − | 0.229084i | 0.647768 | − | 0.761838i | \(-0.275703\pi\) |
−0.846270 | + | 0.532754i | \(0.821157\pi\) | |||||||
\(558\) | 3.12501 | − | 0.917586i | 0.132292 | − | 0.0388445i | ||||
\(559\) | 2.67356 | + | 1.71820i | 0.113080 | + | 0.0726719i | ||||
\(560\) | −1.72197 | + | 3.77059i | −0.0727666 | + | 0.159337i | ||||
\(561\) | 20.0149 | − | 23.0984i | 0.845029 | − | 0.975215i | ||||
\(562\) | −8.76744 | + | 5.63449i | −0.369832 | + | 0.237677i | ||||
\(563\) | 0.493281 | + | 3.43085i | 0.0207893 | + | 0.144593i | 0.997572 | − | 0.0696382i | \(-0.0221845\pi\) |
−0.976783 | + | 0.214231i | \(0.931275\pi\) | |||||||
\(564\) | −0.0964864 | − | 0.671078i | −0.00406281 | − | 0.0282575i | ||||
\(565\) | −17.8116 | + | 11.4468i | −0.749340 | + | 0.481572i | ||||
\(566\) | 18.4895 | − | 21.3380i | 0.777170 | − | 0.896902i | ||||
\(567\) | 0.415415 | − | 0.909632i | 0.0174458 | − | 0.0382010i | ||||
\(568\) | −20.6398 | − | 13.2644i | −0.866025 | − | 0.556561i | ||||
\(569\) | 10.7227 | − | 3.14847i | 0.449520 | − | 0.131991i | −0.0491341 | − | 0.998792i | \(-0.515646\pi\) |
0.498654 | + | 0.866801i | \(0.333828\pi\) | |||||||
\(570\) | −6.10551 | − | 7.04613i | −0.255732 | − | 0.295130i | ||||
\(571\) | −36.1496 | − | 10.6145i | −1.51281 | − | 0.444202i | −0.583074 | − | 0.812419i | \(-0.698150\pi\) |
−0.929740 | + | 0.368217i | \(0.879968\pi\) | |||||||
\(572\) | 0.940128 | + | 2.05859i | 0.0393087 | + | 0.0860741i | ||||
\(573\) | 1.57074 | − | 10.9248i | 0.0656187 | − | 0.456388i | ||||
\(574\) | 7.83588 | 0.327064 | ||||||||
\(575\) | 15.3488 | − | 6.41429i | 0.640089 | − | 0.267494i | ||||
\(576\) | 8.79140 | 0.366308 | ||||||||
\(577\) | 4.40027 | − | 30.6045i | 0.183185 | − | 1.27408i | −0.665986 | − | 0.745965i | \(-0.731989\pi\) |
0.849171 | − | 0.528118i | \(-0.177102\pi\) | |||||||
\(578\) | −10.4853 | − | 22.9595i | −0.436129 | − | 0.954990i | ||||
\(579\) | 18.2118 | + | 5.34746i | 0.756855 | + | 0.222233i | ||||
\(580\) | 1.00764 | + | 1.16287i | 0.0418398 | + | 0.0482857i | ||||
\(581\) | 3.24128 | − | 0.951726i | 0.134471 | − | 0.0394842i | ||||
\(582\) | 18.8687 | + | 12.1262i | 0.782133 | + | 0.502646i | ||||
\(583\) | −13.6479 | + | 29.8847i | −0.565238 | + | 1.23770i | ||||
\(584\) | −8.55333 | + | 9.87107i | −0.353939 | + | 0.408468i | ||||
\(585\) | −1.63104 | + | 1.04821i | −0.0674353 | + | 0.0433380i | ||||
\(586\) | 5.39945 | + | 37.5540i | 0.223049 | + | 1.55134i | ||||
\(587\) | 1.92027 | + | 13.3557i | 0.0792579 | + | 0.551251i | 0.990301 | + | 0.138939i | \(0.0443693\pi\) |
−0.911043 | + | 0.412311i | \(0.864722\pi\) | |||||||
\(588\) | −0.239446 | + | 0.153882i | −0.00987458 | + | 0.00634600i | ||||
\(589\) | 9.36783 | − | 10.8111i | 0.385995 | − | 0.445462i | ||||
\(590\) | 8.32494 | − | 18.2291i | 0.342732 | − | 0.750479i | ||||
\(591\) | 10.7634 | + | 6.91721i | 0.442746 | + | 0.284536i | ||||
\(592\) | 27.3040 | − | 8.01716i | 1.12219 | − | 0.329503i | ||||
\(593\) | 17.6057 | + | 20.3180i | 0.722978 | + | 0.834361i | 0.991662 | − | 0.128867i | \(-0.0411342\pi\) |
−0.268684 | + | 0.963228i | \(0.586589\pi\) | |||||||
\(594\) | 6.37737 | + | 1.87256i | 0.261667 | + | 0.0768322i | ||||
\(595\) | −3.09599 | − | 6.77928i | −0.126923 | − | 0.277923i | ||||
\(596\) | −0.684983 | + | 4.76416i | −0.0280580 | + | 0.195148i | ||||
\(597\) | −1.25128 | −0.0512117 | ||||||||
\(598\) | −5.58720 | + | 8.10135i | −0.228478 | + | 0.331289i | ||||
\(599\) | 3.51729 | 0.143713 | 0.0718563 | − | 0.997415i | \(-0.477108\pi\) | ||||
0.0718563 | + | 0.997415i | \(0.477108\pi\) | |||||||
\(600\) | 1.47709 | − | 10.2734i | 0.0603021 | − | 0.419410i | ||||
\(601\) | −14.9738 | − | 32.7881i | −0.610796 | − | 1.33746i | −0.922028 | − | 0.387123i | \(-0.873469\pi\) |
0.311232 | − | 0.950334i | \(-0.399258\pi\) | |||||||
\(602\) | −2.54906 | − | 0.748472i | −0.103892 | − | 0.0305055i | ||||
\(603\) | −7.95398 | − | 9.17938i | −0.323911 | − | 0.373813i | ||||
\(604\) | −3.37219 | + | 0.990164i | −0.137212 | + | 0.0402892i | ||||
\(605\) | 15.3591 | + | 9.87068i | 0.624435 | + | 0.401300i | ||||
\(606\) | −2.71174 | + | 5.93789i | −0.110157 | + | 0.241210i | ||||
\(607\) | −4.59837 | + | 5.30680i | −0.186642 | + | 0.215396i | −0.841357 | − | 0.540479i | \(-0.818243\pi\) |
0.654715 | + | 0.755875i | \(0.272788\pi\) | |||||||
\(608\) | 7.72963 | − | 4.96753i | 0.313478 | − | 0.201460i | ||||
\(609\) | −0.621714 | − | 4.32411i | −0.0251931 | − | 0.175222i | ||||
\(610\) | −0.758688 | − | 5.27679i | −0.0307184 | − | 0.213651i | ||||
\(611\) | 3.13954 | − | 2.01766i | 0.127012 | − | 0.0816259i | ||||
\(612\) | −1.12257 | + | 1.29551i | −0.0453771 | + | 0.0523680i | ||||
\(613\) | 14.0309 | − | 30.7233i | 0.566701 | − | 1.24090i | −0.381834 | − | 0.924231i | \(-0.624707\pi\) |
0.948535 | − | 0.316672i | \(-0.102565\pi\) | |||||||
\(614\) | 14.5617 | + | 9.35821i | 0.587661 | + | 0.377667i | ||||
\(615\) | 7.10371 | − | 2.08584i | 0.286449 | − | 0.0841091i | ||||
\(616\) | −9.94407 | − | 11.4761i | −0.400658 | − | 0.462384i | ||||
\(617\) | −9.96521 | − | 2.92605i | −0.401184 | − | 0.117798i | 0.0749150 | − | 0.997190i | \(-0.476131\pi\) |
−0.476099 | + | 0.879392i | \(0.657950\pi\) | |||||||
\(618\) | −3.29172 | − | 7.20786i | −0.132412 | − | 0.289943i | ||||
\(619\) | 1.10133 | − | 7.65991i | 0.0442661 | − | 0.307878i | −0.955645 | − | 0.294522i | \(-0.904840\pi\) |
0.999911 | − | 0.0133556i | \(-0.00425136\pi\) | |||||||
\(620\) | −0.875881 | −0.0351762 | ||||||||
\(621\) | −1.20064 | − | 4.64311i | −0.0481802 | − | 0.186322i | ||||
\(622\) | 21.1187 | 0.846783 | ||||||||
\(623\) | −0.989657 | + | 6.88322i | −0.0396498 | + | 0.275770i | ||||
\(624\) | 2.18020 | + | 4.77396i | 0.0872777 | + | 0.191111i | ||||
\(625\) | −4.19781 | − | 1.23259i | −0.167912 | − | 0.0493035i | ||||
\(626\) | −5.61172 | − | 6.47626i | −0.224289 | − | 0.258844i | ||||
\(627\) | 28.0106 | − | 8.22465i | 1.11863 | − | 0.328461i | ||||
\(628\) | 4.87183 | + | 3.13094i | 0.194407 | + | 0.124938i | ||||
\(629\) | −21.2540 | + | 46.5397i | −0.847451 | + | 1.85566i | ||||
\(630\) | 1.06136 | − | 1.22487i | 0.0422855 | − | 0.0488001i | ||||
\(631\) | 8.27780 | − | 5.31982i | 0.329534 | − | 0.211779i | −0.365403 | − | 0.930849i | \(-0.619069\pi\) |
0.694937 | + | 0.719071i | \(0.255432\pi\) | |||||||
\(632\) | 2.28759 | + | 15.9105i | 0.0909953 | + | 0.632886i | ||||
\(633\) | −0.330838 | − | 2.30103i | −0.0131496 | − | 0.0914577i | ||||
\(634\) | 17.7468 | − | 11.4052i | 0.704814 | − | 0.452957i | ||||
\(635\) | 5.36082 | − | 6.18672i | 0.212738 | − | 0.245512i | ||||
\(636\) | 0.765465 | − | 1.67613i | 0.0303526 | − | 0.0664630i | ||||
\(637\) | −1.31805 | − | 0.847057i | −0.0522229 | − | 0.0335616i | ||||
\(638\) | 27.8600 | − | 8.18045i | 1.10299 | − | 0.323867i | ||||
\(639\) | 5.36948 | + | 6.19671i | 0.212413 | + | 0.245138i | ||||
\(640\) | 9.87845 | + | 2.90057i | 0.390480 | + | 0.114655i | ||||
\(641\) | 15.2971 | + | 33.4960i | 0.604200 | + | 1.32301i | 0.926471 | + | 0.376366i | \(0.122827\pi\) |
−0.322271 | + | 0.946647i | \(0.604446\pi\) | |||||||
\(642\) | −3.14600 | + | 21.8809i | −0.124163 | + | 0.863569i | ||||
\(643\) | 35.9019 | 1.41583 | 0.707916 | − | 0.706297i | \(-0.249636\pi\) | ||||
0.707916 | + | 0.706297i | \(0.249636\pi\) | |||||||
\(644\) | −0.427004 | + | 1.29653i | −0.0168263 | + | 0.0510905i | ||||
\(645\) | −2.51012 | −0.0988358 | ||||||||
\(646\) | 6.45761 | − | 44.9137i | 0.254071 | − | 1.76711i | ||||
\(647\) | −2.90327 | − | 6.35727i | −0.114139 | − | 0.249930i | 0.843938 | − | 0.536441i | \(-0.180232\pi\) |
−0.958077 | + | 0.286511i | \(0.907504\pi\) | |||||||
\(648\) | −2.87102 | − | 0.843008i | −0.112784 | − | 0.0331165i | ||||
\(649\) | 41.0918 | + | 47.4225i | 1.61299 | + | 1.86149i | ||||
\(650\) | 6.82948 | − | 2.00532i | 0.267874 | − | 0.0786550i | ||||
\(651\) | 2.09198 | + | 1.34443i | 0.0819912 | + | 0.0526925i | ||||
\(652\) | 0.927479 | − | 2.03090i | 0.0363229 | − | 0.0795360i | ||||
\(653\) | 9.32812 | − | 10.7652i | 0.365038 | − | 0.421276i | −0.543284 | − | 0.839549i | \(-0.682819\pi\) |
0.908321 | + | 0.418273i | \(0.137365\pi\) | |||||||
\(654\) | 9.87198 | − | 6.34434i | 0.386025 | − | 0.248083i | ||||
\(655\) | −0.595527 | − | 4.14198i | −0.0232692 | − | 0.161841i | ||||
\(656\) | −2.85213 | − | 19.8370i | −0.111357 | − | 0.774503i | ||||
\(657\) | 3.67213 | − | 2.35994i | 0.143264 | − | 0.0920699i | ||||
\(658\) | −2.04298 | + | 2.35772i | −0.0796436 | + | 0.0919136i | ||||
\(659\) | 4.94239 | − | 10.8223i | 0.192528 | − | 0.421578i | −0.788608 | − | 0.614896i | \(-0.789198\pi\) |
0.981136 | + | 0.193319i | \(0.0619251\pi\) | |||||||
\(660\) | −1.50370 | − | 0.966371i | −0.0585316 | − | 0.0376159i | ||||
\(661\) | −22.0859 | + | 6.48502i | −0.859044 | + | 0.252238i | −0.681449 | − | 0.731866i | \(-0.738650\pi\) |
−0.177595 | + | 0.984104i | \(0.556832\pi\) | |||||||
\(662\) | 8.75117 | + | 10.0994i | 0.340124 | + | 0.392524i | ||||
\(663\) | −9.05377 | − | 2.65843i | −0.351619 | − | 0.103245i | ||||
\(664\) | −4.19906 | − | 9.19465i | −0.162955 | − | 0.356822i | ||||
\(665\) | 1.01308 | − | 7.04613i | 0.0392856 | − | 0.273237i | ||||
\(666\) | −11.1264 | −0.431138 | ||||||||
\(667\) | −15.3787 | − | 14.2281i | −0.595466 | − | 0.550914i | ||||
\(668\) | −0.571550 | −0.0221139 | ||||||||
\(669\) | 2.82668 | − | 19.6600i | 0.109286 | − | 0.760100i | ||||
\(670\) | −8.17769 | − | 17.9066i | −0.315932 | − | 0.691794i | ||||
\(671\) | 16.0163 | + | 4.70281i | 0.618303 | + | 0.181550i | ||||
\(672\) | 1.04598 | + | 1.20712i | 0.0403494 | + | 0.0465657i | ||||
\(673\) | 0.725833 | − | 0.213124i | 0.0279788 | − | 0.00821532i | −0.267713 | − | 0.963499i | \(-0.586268\pi\) |
0.295692 | + | 0.955283i | \(0.404450\pi\) | |||||||
\(674\) | −26.6940 | − | 17.1552i | −1.02821 | − | 0.660793i | ||||
\(675\) | −1.44094 | + | 3.15521i | −0.0554617 | + | 0.121444i | ||||
\(676\) | −1.96556 | + | 2.26837i | −0.0755984 | + | 0.0872452i | ||||
\(677\) | 20.2601 | − | 13.0204i | 0.778659 | − | 0.500413i | −0.0899296 | − | 0.995948i | \(-0.528664\pi\) |
0.868588 | + | 0.495535i | \(0.165028\pi\) | |||||||
\(678\) | −3.18912 | − | 22.1808i | −0.122477 | − | 0.851849i | ||||
\(679\) | 2.43717 | + | 16.9509i | 0.0935301 | + | 0.650516i | ||||
\(680\) | −18.7603 | + | 12.0565i | −0.719424 | + | 0.462346i | ||||
\(681\) | −10.1791 | + | 11.7473i | −0.390065 | + | 0.450159i | ||||
\(682\) | −6.86614 | + | 15.0347i | −0.262918 | + | 0.575710i | ||||
\(683\) | 11.9849 | + | 7.70225i | 0.458591 | + | 0.294718i | 0.749466 | − | 0.662042i | \(-0.230310\pi\) |
−0.290875 | + | 0.956761i | \(0.593947\pi\) | |||||||
\(684\) | −1.57102 | + | 0.461293i | −0.0600694 | + | 0.0176380i | ||||
\(685\) | −11.1430 | − | 12.8597i | −0.425752 | − | 0.491344i | ||||
\(686\) | 1.25667 | + | 0.368991i | 0.0479798 | + | 0.0140881i | ||||
\(687\) | −1.70531 | − | 3.73410i | −0.0650615 | − | 0.142465i | ||||
\(688\) | −0.966984 | + | 6.72552i | −0.0368659 | + | 0.256408i | ||||
\(689\) | 10.1430 | 0.386418 | ||||||||
\(690\) | 0.253006 | − | 7.76868i | 0.00963176 | − | 0.295748i | ||||
\(691\) | −42.3183 | −1.60986 | −0.804932 | − | 0.593367i | \(-0.797798\pi\) | ||||
−0.804932 | + | 0.593367i | \(0.797798\pi\) | |||||||
\(692\) | −0.0975925 | + | 0.678771i | −0.00370991 | + | 0.0258030i | ||||
\(693\) | 2.10816 | + | 4.61622i | 0.0800822 | + | 0.175356i | ||||
\(694\) | −5.65190 | − | 1.65955i | −0.214543 | − | 0.0629956i | ||||
\(695\) | −2.70107 | − | 3.11720i | −0.102457 | − | 0.118242i | ||||
\(696\) | −12.5423 | + | 3.68275i | −0.475414 | + | 0.139594i | ||||
\(697\) | 30.3123 | + | 19.4806i | 1.14816 | + | 0.737879i | ||||
\(698\) | 11.4544 | − | 25.0816i | 0.433555 | − | 0.949352i | ||||
\(699\) | 10.0964 | − | 11.6519i | 0.381881 | − | 0.440715i | ||||
\(700\) | 0.830558 | − | 0.533767i | 0.0313922 | − | 0.0201745i | ||||
\(701\) | −1.87982 | − | 13.0744i | −0.0709998 | − | 0.493815i | −0.994032 | − | 0.109091i | \(-0.965206\pi\) |
0.923032 | − | 0.384723i | \(-0.125703\pi\) | |||||||
\(702\) | −0.292034 | − | 2.03114i | −0.0110221 | − | 0.0766604i | ||||
\(703\) | −41.1113 | + | 26.4206i | −1.55054 | + | 0.996472i | ||||
\(704\) | −29.2165 | + | 33.7176i | −1.10114 | + | 1.27078i | ||||
\(705\) | −1.22448 | + | 2.68124i | −0.0461166 | + | 0.100981i | ||||
\(706\) | −33.8698 | − | 21.7668i | −1.27471 | − | 0.819203i | ||||
\(707\) | −4.78222 | + | 1.40419i | −0.179854 | + | 0.0528099i | ||||
\(708\) | −2.30470 | − | 2.65977i | −0.0866160 | − | 0.0999602i | ||||
\(709\) | 22.9380 | + | 6.73521i | 0.861456 | + | 0.252946i | 0.682477 | − | 0.730907i | \(-0.260903\pi\) |
0.178978 | + | 0.983853i | \(0.442721\pi\) | |||||||
\(710\) | 5.52050 | + | 12.0882i | 0.207181 | + | 0.453663i | ||||
\(711\) | 0.764509 | − | 5.31728i | 0.0286713 | − | 0.199413i | ||||
\(712\) | 20.8080 | 0.779811 | ||||||||
\(713\) | 11.8536 | − | 1.31210i | 0.443921 | − | 0.0491387i | ||||
\(714\) | 7.88792 | 0.295198 | ||||||||
\(715\) | 1.40026 | − | 9.73903i | 0.0523668 | − | 0.364219i | ||||
\(716\) | −3.04956 | − | 6.67761i | −0.113968 | − | 0.249554i | ||||
\(717\) | −19.9733 | − | 5.86468i | −0.745916 | − | 0.219021i | ||||
\(718\) | 11.1403 | + | 12.8566i | 0.415753 | + | 0.479805i | ||||
\(719\) | −25.4193 | + | 7.46378i | −0.947980 | + | 0.278352i | −0.718946 | − | 0.695066i | \(-0.755375\pi\) |
−0.229035 | + | 0.973418i | \(0.573557\pi\) | |||||||
\(720\) | −3.48715 | − | 2.24106i | −0.129958 | − | 0.0835192i | ||||
\(721\) | 2.51330 | − | 5.50335i | 0.0936001 | − | 0.204956i | ||||
\(722\) | 12.0862 | − | 13.9483i | 0.449803 | − | 0.519101i | ||||
\(723\) | 23.6025 | − | 15.1684i | 0.877788 | − | 0.564120i | ||||
\(724\) | 0.445190 | + | 3.09636i | 0.0165454 | + | 0.115075i | ||||
\(725\) | 2.15652 | + | 14.9989i | 0.0800911 | + | 0.557046i | ||||
\(726\) | −16.2558 | + | 10.4470i | −0.603311 | + | 0.387725i | ||||
\(727\) | 12.7965 | − | 14.7680i | 0.474596 | − | 0.547713i | −0.467088 | − | 0.884211i | \(-0.654697\pi\) |
0.941684 | + | 0.336498i | \(0.109242\pi\) | |||||||
\(728\) | −1.94752 | + | 4.26446i | −0.0721797 | + | 0.158052i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 6.78808 | − | 1.99316i | 0.251238 | − | 0.0737701i | ||||
\(731\) | −8.00004 | − | 9.23254i | −0.295892 | − | 0.341478i | ||||
\(732\) | −0.898301 | − | 0.263765i | −0.0332022 | − | 0.00974903i | ||||
\(733\) | −3.10247 | − | 6.79347i | −0.114592 | − | 0.250922i | 0.843642 | − | 0.536906i | \(-0.180407\pi\) |
−0.958235 | + | 0.285984i | \(0.907680\pi\) | |||||||
\(734\) | −0.968344 | + | 6.73498i | −0.0357422 | + | 0.248593i | ||||
\(735\) | 1.23747 | 0.0456447 | ||||||||
\(736\) | 7.54266 | + | 1.33637i | 0.278026 | + | 0.0492594i | ||||
\(737\) | 61.6391 | 2.27050 | ||||||||
\(738\) | −1.11516 | + | 7.75613i | −0.0410497 | + | 0.285507i | ||||
\(739\) | −15.0021 | − | 32.8501i | −0.551862 | − | 1.20841i | −0.955907 | − | 0.293670i | \(-0.905123\pi\) |
0.404045 | − | 0.914739i | \(-0.367604\pi\) | |||||||
\(740\) | 2.87098 | + | 0.842997i | 0.105539 | + | 0.0309892i | ||||
\(741\) | −5.90218 | − | 6.81148i | −0.216822 | − | 0.250226i | ||||
\(742\) | −8.13549 | + | 2.38879i | −0.298663 | + | 0.0876954i | ||||
\(743\) | 8.48702 | + | 5.45428i | 0.311358 | + | 0.200098i | 0.686982 | − | 0.726674i | \(-0.258935\pi\) |
−0.375624 | + | 0.926772i | \(0.622571\pi\) | |||||||
\(744\) | 3.09106 | − | 6.76848i | 0.113324 | − | 0.248145i | ||||
\(745\) | 13.7035 | − | 15.8147i | 0.502059 | − | 0.579407i | ||||
\(746\) | −12.1217 | + | 7.79013i | −0.443806 | + | 0.285217i | ||||
\(747\) | 0.480756 | + | 3.34373i | 0.0175899 | + | 0.122341i | ||||
\(748\) | −1.23804 | − | 8.61075i | −0.0452672 | − | 0.314840i | ||||
\(749\) | −14.1989 | + | 9.12510i | −0.518818 | + | 0.333424i | ||||
\(750\) | −8.98830 | + | 10.3730i | −0.328206 | + | 0.378770i | ||||
\(751\) | 7.04358 | − | 15.4233i | 0.257024 | − | 0.562804i | −0.736499 | − | 0.676439i | \(-0.763522\pi\) |
0.993523 | + | 0.113635i | \(0.0362494\pi\) | |||||||
\(752\) | 6.71231 | + | 4.31374i | 0.244773 | + | 0.157306i | ||||
\(753\) | 3.38849 | − | 0.994951i | 0.123484 | − | 0.0362580i | ||||
\(754\) | −5.87046 | − | 6.77487i | −0.213790 | − | 0.246726i | ||||
\(755\) | 14.6611 | + | 4.30488i | 0.533571 | + | 0.156671i | ||||
\(756\) | −0.118239 | − | 0.258908i | −0.00430033 | − | 0.00941640i | ||||
\(757\) | −0.718352 | + | 4.99625i | −0.0261090 | + | 0.181592i | −0.998703 | − | 0.0509189i | \(-0.983785\pi\) |
0.972594 | + | 0.232511i | \(0.0746941\pi\) | |||||||
\(758\) | 30.9841 | 1.12539 | ||||||||
\(759\) | 21.7978 | + | 10.8256i | 0.791209 | + | 0.392945i | ||||
\(760\) | −21.3004 | −0.772648 | ||||||||
\(761\) | −5.22083 | + | 36.3117i | −0.189255 | + | 1.31630i | 0.644688 | + | 0.764446i | \(0.276987\pi\) |
−0.833943 | + | 0.551851i | \(0.813922\pi\) | |||||||
\(762\) | 3.59923 | + | 7.88121i | 0.130386 | + | 0.285506i | ||||
\(763\) | 8.59687 | + | 2.52427i | 0.311227 | + | 0.0913846i | ||||
\(764\) | −2.05724 | − | 2.37418i | −0.0744282 | − | 0.0858947i | ||||
\(765\) | 7.15088 | − | 2.09969i | 0.258541 | − | 0.0759144i | ||||
\(766\) | 23.7256 | + | 15.2475i | 0.857240 | + | 0.550915i | ||||
\(767\) | 8.04770 | − | 17.6220i | 0.290586 | − | 0.636294i | ||||
\(768\) | 4.37853 | − | 5.05309i | 0.157996 | − | 0.182338i | ||||
\(769\) | −4.44668 | + | 2.85771i | −0.160351 | + | 0.103052i | −0.618356 | − | 0.785898i | \(-0.712201\pi\) |
0.458004 | + | 0.888950i | \(0.348564\pi\) | |||||||
\(770\) | 1.17053 | + | 8.14124i | 0.0421831 | + | 0.293390i | ||||
\(771\) | −2.99690 | − | 20.8439i | −0.107931 | − | 0.750675i | ||||
\(772\) | 4.54483 | − | 2.92078i | 0.163572 | − | 0.105121i | ||||
\(773\) | 18.9646 | − | 21.8864i | 0.682110 | − | 0.787197i | −0.304109 | − | 0.952637i | \(-0.598359\pi\) |
0.986220 | + | 0.165440i | \(0.0529043\pi\) | |||||||
\(774\) | 1.10362 | − | 2.41660i | 0.0396689 | − | 0.0868628i | ||||
\(775\) | −7.25639 | − | 4.66340i | −0.260657 | − | 0.167514i | ||||
\(776\) | 49.1669 | − | 14.4367i | 1.76499 | − | 0.518247i | ||||
\(777\) | −5.56318 | − | 6.42026i | −0.199578 | − | 0.230325i | ||||
\(778\) | −43.3913 | − | 12.7408i | −1.55565 | − | 0.456781i | ||||
\(779\) | 14.2972 | + | 31.3065i | 0.512250 | + | 1.12167i | ||||
\(780\) | −0.0785360 | + | 0.546230i | −0.00281204 | + | 0.0195582i | ||||
\(781\) | −41.6106 | −1.48894 | ||||||||
\(782\) | 29.3806 | − | 23.8291i | 1.05065 | − | 0.852127i | ||||
\(783\) | 4.36858 | 0.156120 | ||||||||
\(784\) | 0.476716 | − | 3.31563i | 0.0170256 | − | 0.118415i | ||||
\(785\) | −10.4593 | − | 22.9026i | −0.373308 | − | 0.817430i | ||||
\(786\) | 4.24950 | + | 1.24777i | 0.151575 | + | 0.0445063i | ||||
\(787\) | −20.2363 | − | 23.3539i | −0.721346 | − | 0.832477i | 0.270122 | − | 0.962826i | \(-0.412936\pi\) |
−0.991468 | + | 0.130349i | \(0.958390\pi\) | |||||||
\(788\) | 3.49417 | − | 1.02598i | 0.124475 | − | 0.0365490i | ||||
\(789\) | 20.8890 | + | 13.4245i | 0.743668 | + | 0.477927i | ||||
\(790\) | 3.61683 | − | 7.91975i | 0.128681 | − | 0.281772i | ||||
\(791\) | 11.2045 | − | 12.9306i | 0.398385 | − | 0.459760i | ||||
\(792\) | 12.7745 | − | 8.20964i | 0.453920 | − | 0.291717i | ||||
\(793\) | −0.733422 | − | 5.10106i | −0.0260446 | − | 0.181144i | ||||
\(794\) | −3.20030 | − | 22.2586i | −0.113574 | − | 0.789927i | ||||
\(795\) | −6.73944 | + | 4.33118i | −0.239023 | + | 0.153611i | ||||
\(796\) | −0.233230 | + | 0.269162i | −0.00826663 | + | 0.00954020i | ||||
\(797\) | −8.23345 | + | 18.0287i | −0.291644 | + | 0.638611i | −0.997570 | − | 0.0696749i | \(-0.977804\pi\) |
0.705926 | + | 0.708286i | \(0.250531\pi\) | |||||||
\(798\) | 6.33819 | + | 4.07331i | 0.224370 | + | 0.144194i | ||||
\(799\) | −13.7645 | + | 4.04163i | −0.486954 | + | 0.142982i | ||||
\(800\) | −3.62814 | − | 4.18710i | −0.128274 | − | 0.148036i | ||||
\(801\) | −6.67231 | − | 1.95917i | −0.235755 | − | 0.0692238i | ||||
\(802\) | −5.71811 | − | 12.5209i | −0.201914 | − | 0.442129i | ||||
\(803\) | −3.15255 | + | 21.9265i | −0.111251 | + | 0.773769i | ||||
\(804\) | −3.45713 | −0.121924 | ||||||||
\(805\) | 4.60927 | − | 3.73835i | 0.162455 | − | 0.131759i | ||||
\(806\) | 5.10286 | 0.179741 | ||||||||
\(807\) | 3.64681 | − | 25.3641i | 0.128374 | − | 0.892860i | ||||
\(808\) | 6.19533 | + | 13.5659i | 0.217951 | + | 0.477246i | ||||
\(809\) | −31.4284 | − | 9.22821i | −1.10496 | − | 0.324446i | −0.322141 | − | 0.946692i | \(-0.604402\pi\) |
−0.782822 | + | 0.622245i | \(0.786221\pi\) | |||||||
\(810\) | 1.06136 | + | 1.22487i | 0.0372923 | + | 0.0430377i | ||||
\(811\) | −12.9958 | + | 3.81590i | −0.456343 | + | 0.133994i | −0.501822 | − | 0.864971i | \(-0.667337\pi\) |
0.0454791 | + | 0.998965i | \(0.485519\pi\) | |||||||
\(812\) | −1.04604 | − | 0.672248i | −0.0367087 | − | 0.0235913i | ||||
\(813\) | −1.60792 | + | 3.52085i | −0.0563921 | + | 0.123482i | ||||
\(814\) | 36.9763 | − | 42.6729i | 1.29602 | − | 1.49568i | ||||
\(815\) | −8.16588 | + | 5.24789i | −0.286038 | + | 0.183826i | ||||
\(816\) | −2.87106 | − | 19.9687i | −0.100507 | − | 0.699044i | ||||
\(817\) | −1.66062 | − | 11.5498i | −0.0580976 | − | 0.404078i | ||||
\(818\) | 35.0298 | − | 22.5123i | 1.22479 | − | 0.787123i | ||||
\(819\) | 1.02601 | − | 1.18408i | 0.0358518 | − | 0.0413752i | ||||
\(820\) | 0.875399 | − | 1.91686i | 0.0305702 | − | 0.0669395i | ||||
\(821\) | −3.61915 | − | 2.32589i | −0.126309 | − | 0.0811740i | 0.475961 | − | 0.879467i | \(-0.342100\pi\) |
−0.602270 | + | 0.798293i | \(0.705737\pi\) | |||||||
\(822\) | 17.2798 | − | 5.07381i | 0.602703 | − | 0.176970i | ||||
\(823\) | 35.8522 | + | 41.3757i | 1.24973 | + | 1.44226i | 0.850975 | + | 0.525207i | \(0.176012\pi\) |
0.398755 | + | 0.917058i | \(0.369442\pi\) | |||||||
\(824\) | −17.3699 | − | 5.10027i | −0.605110 | − | 0.177676i | ||||
\(825\) | −7.31250 | − | 16.0121i | −0.254589 | − | 0.557471i | ||||
\(826\) | −2.30470 | + | 16.0296i | −0.0801908 | + | 0.557740i | ||||
\(827\) | −50.4636 | −1.75479 | −0.877395 | − | 0.479768i | \(-0.840721\pi\) | ||||
−0.877395 | + | 0.479768i | \(0.840721\pi\) | |||||||
\(828\) | −1.22256 | − | 0.607173i | −0.0424871 | − | 0.0211007i | ||||
\(829\) | −53.4164 | −1.85523 | −0.927614 | − | 0.373540i | \(-0.878144\pi\) | ||||
−0.927614 | + | 0.373540i | \(0.878144\pi\) | |||||||
\(830\) | −0.779181 | + | 5.41932i | −0.0270458 | + | 0.188107i | ||||
\(831\) | 9.24403 | + | 20.2416i | 0.320672 | + | 0.702174i | ||||
\(832\) | 13.2161 | + | 3.88060i | 0.458187 | + | 0.134536i | ||||
\(833\) | 3.94396 | + | 4.55157i | 0.136650 | + | 0.157703i | ||||
\(834\) | 4.18864 | − | 1.22989i | 0.145041 | − | 0.0425878i | ||||
\(835\) | 2.09043 | + | 1.34344i | 0.0723422 | + | 0.0464915i | ||||
\(836\) | 3.45178 | − | 7.55833i | 0.119382 | − | 0.261410i | ||||
\(837\) | −1.62847 | + | 1.87935i | −0.0562881 | + | 0.0649600i | ||||
\(838\) | −15.1507 | + | 9.73673i | −0.523371 | + | 0.336350i | ||||
\(839\) | 6.67522 | + | 46.4272i | 0.230454 | + | 1.60284i | 0.696148 | + | 0.717898i | \(0.254896\pi\) |
−0.465694 | + | 0.884946i | \(0.654195\pi\) | |||||||
\(840\) | −0.526962 | − | 3.66510i | −0.0181819 | − | 0.126458i | ||||
\(841\) | −8.34145 | + | 5.36073i | −0.287636 | + | 0.184853i | ||||
\(842\) | 9.32370 | − | 10.7601i | 0.321316 | − | 0.370818i | ||||
\(843\) | 3.30559 | − | 7.23824i | 0.113851 | − | 0.249298i | ||||
\(844\) | −0.556637 | − | 0.357729i | −0.0191602 | − | 0.0123135i | ||||
\(845\) | 12.5208 | − | 3.67645i | 0.430729 | − | 0.126474i | ||||
\(846\) | −2.04298 | − | 2.35772i | −0.0702390 | − | 0.0810601i | ||||
\(847\) | −14.1562 | − | 4.15662i | −0.486412 | − | 0.142823i | ||||
\(848\) | 9.00854 | + | 19.7259i | 0.309354 | + | 0.677392i | ||||
\(849\) | −3.06794 | + | 21.3380i | −0.105291 | + | 0.732318i | ||||
\(850\) | −27.3606 | −0.938460 | ||||||||
\(851\) | −40.1168 | − | 7.10771i | −1.37519 | − | 0.243649i | ||||
\(852\) | 2.33380 | 0.0799546 | ||||||||
\(853\) | −7.36750 | + | 51.2421i | −0.252258 | + | 1.75450i | 0.332328 | + | 0.943164i | \(0.392166\pi\) |
−0.584587 | + | 0.811331i | \(0.698743\pi\) | |||||||
\(854\) | 1.78962 | + | 3.91872i | 0.0612396 | + | 0.134096i | ||||
\(855\) | 6.83024 | + | 2.00554i | 0.233589 | + | 0.0685880i | ||||
\(856\) | 33.0729 | + | 38.1682i | 1.13041 | + | 1.30456i | ||||
\(857\) | −2.90673 | + | 0.853494i | −0.0992921 | + | 0.0291548i | −0.331001 | − | 0.943630i | \(-0.607386\pi\) |
0.231709 | + | 0.972785i | \(0.425568\pi\) | |||||||
\(858\) | 8.76053 | + | 5.63005i | 0.299080 | + | 0.192207i | ||||
\(859\) | 2.87498 | − | 6.29533i | 0.0980932 | − | 0.214794i | −0.854223 | − | 0.519906i | \(-0.825967\pi\) |
0.952316 | + | 0.305112i | \(0.0986941\pi\) | |||||||
\(860\) | −0.467868 | + | 0.539948i | −0.0159542 | + | 0.0184121i | ||||
\(861\) | −5.03310 | + | 3.23458i | −0.171528 | + | 0.110234i | ||||
\(862\) | 1.43654 | + | 9.99134i | 0.0489287 | + | 0.340306i | ||||
\(863\) | −3.31894 | − | 23.0837i | −0.112978 | − | 0.785780i | −0.964995 | − | 0.262266i | \(-0.915530\pi\) |
0.852017 | − | 0.523513i | \(-0.175379\pi\) | |||||||
\(864\) | −1.34369 | + | 0.863538i | −0.0457133 | + | 0.0293781i | ||||
\(865\) | 1.95240 | − | 2.25319i | 0.0663837 | − | 0.0766108i | ||||
\(866\) | 19.7252 | − | 43.1922i | 0.670291 | − | 1.46773i | ||||
\(867\) | 16.2123 | + | 10.4190i | 0.550599 | + | 0.353848i | ||||
\(868\) | 0.679130 | − | 0.199410i | 0.0230512 | − | 0.00676843i | ||||
\(869\) | 17.8526 | + | 20.6030i | 0.605609 | + | 0.698910i | ||||
\(870\) | 6.79353 | + | 1.99476i | 0.230322 | + | 0.0676287i | ||||
\(871\) | −7.90536 | − | 17.3103i | −0.267863 | − | 0.586538i | ||||
\(872\) | 3.81543 | − | 26.5369i | 0.129207 | − | 0.898652i | ||||
\(873\) | −17.1252 | −0.579601 | ||||||||
\(874\) | 35.9135 | − | 3.97536i | 1.21479 | − | 0.134469i | ||||
\(875\) | −10.4797 | −0.354279 | ||||||||
\(876\) | 0.176816 | − | 1.22978i | 0.00597406 | − | 0.0415505i | ||||
\(877\) | −14.1687 | − | 31.0252i | −0.478444 | − | 1.04765i | −0.982888 | − | 0.184202i | \(-0.941030\pi\) |
0.504445 | − | 0.863444i | \(-0.331697\pi\) | |||||||
\(878\) | −44.6256 | − | 13.1033i | −1.50604 | − | 0.442213i | ||||
\(879\) | −18.9701 | − | 21.8926i | −0.639845 | − | 0.738420i | ||||
\(880\) | 20.1839 | − | 5.92654i | 0.680401 | − | 0.199784i | ||||
\(881\) | −21.0254 | − | 13.5122i | −0.708364 | − | 0.455238i | 0.136208 | − | 0.990680i | \(-0.456509\pi\) |
−0.844572 | + | 0.535442i | \(0.820145\pi\) | |||||||
\(882\) | −0.544078 | + | 1.19136i | −0.0183201 | + | 0.0401153i | ||||
\(883\) | 1.25826 | − | 1.45211i | 0.0423437 | − | 0.0488673i | −0.734183 | − | 0.678952i | \(-0.762434\pi\) |
0.776526 | + | 0.630085i | \(0.216980\pi\) | |||||||
\(884\) | −2.25941 | + | 1.45203i | −0.0759921 | + | 0.0488371i | ||||
\(885\) | 2.17756 | + | 15.1453i | 0.0731979 | + | 0.509103i | ||||
\(886\) | −3.11501 | − | 21.6653i | −0.104651 | − | 0.727861i | ||||
\(887\) | −35.8364 | + | 23.0307i | −1.20327 | + | 0.773295i | −0.979519 | − | 0.201352i | \(-0.935467\pi\) |
−0.223751 | + | 0.974646i | \(0.571830\pi\) | |||||||
\(888\) | −16.6463 | + | 19.2109i | −0.558614 | + | 0.644675i | ||||
\(889\) | −2.74808 | + | 6.01747i | −0.0921678 | + | 0.201819i | ||||
\(890\) | −9.48145 | − | 6.09336i | −0.317819 | − | 0.204250i | ||||
\(891\) | −4.86925 | + | 1.42974i | −0.163126 | + | 0.0478982i | ||||
\(892\) | −3.70217 | − | 4.27253i | −0.123958 | − | 0.143055i | ||||
\(893\) | −13.1473 | − | 3.86040i | −0.439958 | − | 0.129183i | ||||
\(894\) | 9.20048 | + | 20.1462i | 0.307710 | + | 0.673791i | ||||
\(895\) | −4.54213 | + | 31.5912i | −0.151827 | + | 1.05598i | ||||
\(896\) | −8.31979 | −0.277945 | ||||||||
\(897\) | 0.244580 | − | 7.50996i | 0.00816629 | − | 0.250750i | ||||
\(898\) | 27.9954 | 0.934220 | ||||||||
\(899\) | −1.54604 | + | 10.7530i | −0.0515634 | + | 0.358631i | ||||
\(900\) | 0.410134 | + | 0.898067i | 0.0136711 | + | 0.0299356i | ||||
\(901\) | −37.4100 | − | 10.9846i | −1.24631 | − | 0.365949i | ||||
\(902\) | −26.0410 | − | 30.0529i | −0.867070 | − | 1.00065i | ||||
\(903\) | 1.94626 | − | 0.571475i | 0.0647676 | − | 0.0190175i | ||||
\(904\) | −43.0689 | − | 27.6787i | −1.43245 | − | 0.920579i | ||||
\(905\) | 5.64978 | − | 12.3713i | 0.187805 | − | 0.411236i | ||||
\(906\) | −10.5905 | + | 12.2221i | −0.351847 | + | 0.406053i | ||||
\(907\) | 47.5268 | − | 30.5436i | 1.57810 | − | 1.01418i | 0.601566 | − | 0.798823i | \(-0.294544\pi\) |
0.976535 | − | 0.215360i | \(-0.0690926\pi\) | |||||||
\(908\) | 0.629639 | + | 4.37924i | 0.0208953 | + | 0.145330i | ||||
\(909\) | −0.709313 | − | 4.93338i | −0.0235264 | − | 0.163630i | ||||
\(910\) | 2.13621 | − | 1.37286i | 0.0708147 | − | 0.0455099i | ||||
\(911\) | 26.0325 | − | 30.0431i | 0.862494 | − | 0.995371i | −0.137495 | − | 0.990503i | \(-0.543905\pi\) |
0.999988 | − | 0.00486818i | \(-0.00154960\pi\) | |||||||
\(912\) | 8.00481 | − | 17.5281i | 0.265066 | − | 0.580413i | ||||
\(913\) | −14.4219 | − | 9.26839i | −0.477295 | − | 0.306739i | ||||
\(914\) | −13.4697 | + | 3.95505i | −0.445537 | + | 0.130821i | ||||
\(915\) | 2.66553 | + | 3.07618i | 0.0881196 | + | 0.101695i | ||||
\(916\) | −1.12109 | − | 0.329183i | −0.0370420 | − | 0.0108765i | ||||
\(917\) | 1.40475 | + | 3.07598i | 0.0463890 | + | 0.101578i | ||||
\(918\) | −1.12257 | + | 7.80763i | −0.0370503 | + | 0.257690i | ||||
\(919\) | −50.8429 | −1.67715 | −0.838577 | − | 0.544783i | \(-0.816612\pi\) | ||||
−0.838577 | + | 0.544783i | \(0.816612\pi\) | |||||||
\(920\) | −13.0349 | − | 12.0597i | −0.429749 | − | 0.397596i | ||||
\(921\) | −13.2162 | −0.435487 | ||||||||
\(922\) | −6.16009 | + | 42.8444i | −0.202872 | + | 1.41100i | ||||
\(923\) | 5.33666 | + | 11.6856i | 0.175658 | + | 0.384638i | ||||
\(924\) | 1.38593 | + | 0.406947i | 0.0455939 | + | 0.0133876i | ||||
\(925\) | 19.2968 | + | 22.2697i | 0.634476 | + | 0.732225i | ||||
\(926\) | −1.01740 | + | 0.298736i | −0.0334339 | + | 0.00981707i | ||||
\(927\) | 5.08966 | + | 3.27092i | 0.167166 | + | 0.107431i | ||||
\(928\) | −2.89864 | + | 6.34715i | −0.0951527 | + | 0.208355i | ||||
\(929\) | 4.77995 | − | 5.51635i | 0.156825 | − | 0.180986i | −0.671900 | − | 0.740642i | \(-0.734521\pi\) |
0.828725 | + | 0.559656i | \(0.189067\pi\) | |||||||
\(930\) | −3.39056 | + | 2.17898i | −0.111181 | + | 0.0714515i | ||||
\(931\) | 0.818672 | + | 5.69399i | 0.0268309 | + | 0.186613i | ||||
\(932\) | −0.624523 | − | 4.34365i | −0.0204569 | − | 0.142281i | ||||
\(933\) | −13.5649 | + | 8.71761i | −0.444094 | + | 0.285402i | ||||
\(934\) | −0.816001 | + | 0.941715i | −0.0267004 | + | 0.0308139i | ||||
\(935\) | −15.7116 | + | 34.4036i | −0.513824 | + | 1.12512i | ||||
\(936\) | −3.94390 | − | 2.53459i | −0.128910 | − | 0.0828456i | ||||
\(937\) | 31.9260 | − | 9.37433i | 1.04298 | − | 0.306246i | 0.285001 | − | 0.958527i | \(-0.408006\pi\) |
0.757977 | + | 0.652281i | \(0.226188\pi\) | |||||||
\(938\) | 10.4175 | + | 12.0224i | 0.340143 | + | 0.392546i | ||||
\(939\) | 6.27783 | + | 1.84334i | 0.204869 | + | 0.0601550i | ||||
\(940\) | 0.348524 | + | 0.763161i | 0.0113676 | + | 0.0248916i | ||||
\(941\) | 5.68918 | − | 39.5691i | 0.185462 | − | 1.28992i | −0.658119 | − | 0.752914i | \(-0.728648\pi\) |
0.843581 | − | 0.537002i | \(-0.180443\pi\) | |||||||
\(942\) | 26.6480 | 0.868238 | ||||||||
\(943\) | −8.97554 | + | 27.2528i | −0.292284 | + | 0.887474i | ||||
\(944\) | 41.4186 | 1.34806 | ||||||||
\(945\) | −0.176110 | + | 1.22487i | −0.00572887 | + | 0.0398451i | ||||
\(946\) | 5.60069 | + | 12.2638i | 0.182094 | + | 0.398731i | ||||
\(947\) | 37.2766 | + | 10.9454i | 1.21133 | + | 0.355678i | 0.824173 | − | 0.566338i | \(-0.191640\pi\) |
0.387154 | + | 0.922015i | \(0.373458\pi\) | |||||||
\(948\) | −1.00129 | − | 1.15555i | −0.0325205 | − | 0.0375307i | ||||
\(949\) | 6.56202 | − | 1.92678i | 0.213012 | − | 0.0625460i | ||||
\(950\) | −21.9851 | − | 14.1290i | −0.713291 | − | 0.458404i | ||||
\(951\) | −6.69107 | + | 14.6514i | −0.216973 | + | 0.475104i | ||||
\(952\) | 11.8012 | − | 13.6193i | 0.382480 | − | 0.441405i | ||||
\(953\) | 5.95424 | − | 3.82656i | 0.192877 | − | 0.123954i | −0.440638 | − | 0.897685i | \(-0.645248\pi\) |
0.633515 | + | 0.773730i | \(0.281611\pi\) | |||||||
\(954\) | −1.20668 | − | 8.39264i | −0.0390677 | − | 0.271722i | ||||
\(955\) | 1.94375 | + | 13.5190i | 0.0628981 | + | 0.437466i | ||||
\(956\) | −4.98442 | + | 3.20329i | −0.161208 | + | 0.103602i | ||||
\(957\) | −14.5181 | + | 16.7548i | −0.469304 | + | 0.541605i | ||||
\(958\) | −5.66975 | + | 12.4150i | −0.183181 | + | 0.401111i | ||||
\(959\) | 11.5677 | + | 7.43408i | 0.373539 | + | 0.240059i | ||||
\(960\) | −10.4384 | + | 3.06499i | −0.336898 | + | 0.0989222i | ||||
\(961\) | 16.2511 | + | 18.7548i | 0.524229 | + | 0.604993i | ||||
\(962\) | −16.7263 | − | 4.91128i | −0.539277 | − | 0.158346i | ||||
\(963\) | −7.01150 | − | 15.3531i | −0.225943 | − | 0.494745i | ||||
\(964\) | 1.13648 | − | 7.90440i | 0.0366036 | − | 0.254584i | ||||
\(965\) | −23.4879 | −0.756103 | ||||||||
\(966\) | 1.57251 | + | 6.08118i | 0.0505947 | + | 0.195659i | ||||
\(967\) | −23.3017 | −0.749334 | −0.374667 | − | 0.927160i | \(-0.622243\pi\) | ||||
−0.374667 | + | 0.927160i | \(0.622243\pi\) | |||||||
\(968\) | −6.28273 | + | 43.6974i | −0.201935 | + | 1.40449i | ||||
\(969\) | 14.3921 | + | 31.5144i | 0.462342 | + | 1.01239i | ||||
\(970\) | −26.6312 | − | 7.81964i | −0.855078 | − | 0.251073i | ||||
\(971\) | −6.84185 | − | 7.89591i | −0.219565 | − | 0.253392i | 0.635271 | − | 0.772289i | \(-0.280888\pi\) |
−0.854837 | + | 0.518897i | \(0.826343\pi\) | |||||||
\(972\) | 0.273100 | − | 0.0801894i | 0.00875969 | − | 0.00257208i | ||||
\(973\) | 2.80401 | + | 1.80202i | 0.0898923 | + | 0.0577703i | ||||
\(974\) | −8.42623 | + | 18.4509i | −0.269994 | + | 0.591204i | ||||
\(975\) | −3.55890 | + | 4.10719i | −0.113976 | + | 0.131535i | ||||
\(976\) | 9.26907 | − | 5.95687i | 0.296696 | − | 0.190675i | ||||
\(977\) | −0.813665 | − | 5.65917i | −0.0260315 | − | 0.181053i | 0.972657 | − | 0.232245i | \(-0.0746070\pi\) |
−0.998689 | + | 0.0511920i | \(0.983698\pi\) | |||||||
\(978\) | −1.46208 | − | 10.1690i | −0.0467521 | − | 0.325168i | ||||
\(979\) | 29.6881 | − | 19.0794i | 0.948835 | − | 0.609780i | ||||
\(980\) | 0.230655 | − | 0.266190i | 0.00736801 | − | 0.00850314i | ||||
\(981\) | −3.72204 | + | 8.15012i | −0.118835 | + | 0.260213i | ||||
\(982\) | −1.35122 | − | 0.868374i | −0.0431191 | − | 0.0277109i | ||||
\(983\) | −7.75211 | + | 2.27623i | −0.247254 | + | 0.0726003i | −0.403011 | − | 0.915195i | \(-0.632036\pi\) |
0.155757 | + | 0.987795i | \(0.450218\pi\) | |||||||
\(984\) | 11.7234 | + | 13.5295i | 0.373728 | + | 0.431305i | ||||
\(985\) | −15.1914 | − | 4.46060i | −0.484038 | − | 0.142127i | ||||
\(986\) | 14.3148 | + | 31.3450i | 0.455876 | + | 0.998228i | ||||
\(987\) | 0.338989 | − | 2.35772i | 0.0107901 | − | 0.0750471i | ||||
\(988\) | −2.56533 | −0.0816141 | ||||||||
\(989\) | 5.52295 | − | 8.00819i | 0.175620 | − | 0.254646i | ||||
\(990\) | −8.22496 | −0.261406 | ||||||||
\(991\) | −3.15246 | + | 21.9258i | −0.100141 | + | 0.696497i | 0.876466 | + | 0.481464i | \(0.159895\pi\) |
−0.976607 | + | 0.215033i | \(0.931014\pi\) | |||||||
\(992\) | −1.65001 | − | 3.61301i | −0.0523877 | − | 0.114713i | ||||
\(993\) | −9.78994 | − | 2.87459i | −0.310674 | − | 0.0912222i | ||||
\(994\) | −7.03252 | − | 8.11596i | −0.223058 | − | 0.257423i | ||||
\(995\) | 1.48570 | − | 0.436242i | 0.0471000 | − | 0.0138298i | ||||
\(996\) | 0.808876 | + | 0.519833i | 0.0256302 | + | 0.0164715i | ||||
\(997\) | −25.8681 | + | 56.6433i | −0.819252 | + | 1.79391i | −0.258298 | + | 0.966065i | \(0.583162\pi\) |
−0.560955 | + | 0.827847i | \(0.689566\pi\) | |||||||
\(998\) | −3.39350 | + | 3.91631i | −0.107419 | + | 0.123969i | ||||
\(999\) | 7.14663 | − | 4.59286i | 0.226109 | − | 0.145312i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.q.c.169.1 | ✓ | 20 | |
23.3 | even | 11 | inner | 483.2.q.c.463.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.c.169.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
483.2.q.c.463.1 | yes | 20 | 23.3 | even | 11 | inner |