Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 331.6 | ||
Character | \(\chi\) | \(=\) | 483.331 |
Dual form | 483.2.y.b.340.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.187507 | + | 0.772913i | −0.132587 | + | 0.546532i | 0.866307 | + | 0.499512i | \(0.166487\pi\) |
−0.998894 | + | 0.0470196i | \(0.985028\pi\) | |||||||
\(3\) | −0.327068 | + | 0.945001i | −0.188833 | + | 0.545596i | ||||
\(4\) | 1.21544 | + | 0.626600i | 0.607718 | + | 0.313300i | ||||
\(5\) | 2.15041 | + | 0.860895i | 0.961693 | + | 0.385004i | 0.798771 | − | 0.601635i | \(-0.205484\pi\) |
0.162922 | + | 0.986639i | \(0.447908\pi\) | |||||||
\(6\) | −0.669076 | − | 0.429989i | −0.273149 | − | 0.175542i | ||||
\(7\) | 0.216441 | + | 2.63688i | 0.0818071 | + | 0.996648i | ||||
\(8\) | −1.75387 | + | 2.02408i | −0.620088 | + | 0.715619i | ||||
\(9\) | −0.786053 | − | 0.618159i | −0.262018 | − | 0.206053i | ||||
\(10\) | −1.06861 | + | 1.50066i | −0.337925 | + | 0.474549i | ||||
\(11\) | 0.0463658 | + | 0.191122i | 0.0139798 | + | 0.0576255i | 0.978374 | − | 0.206843i | \(-0.0663188\pi\) |
−0.964394 | + | 0.264468i | \(0.914804\pi\) | |||||||
\(12\) | −0.989668 | + | 0.943646i | −0.285693 | + | 0.272407i | ||||
\(13\) | −0.365286 | − | 0.799865i | −0.101312 | − | 0.221843i | 0.852188 | − | 0.523236i | \(-0.175275\pi\) |
−0.953500 | + | 0.301394i | \(0.902548\pi\) | |||||||
\(14\) | −2.07867 | − | 0.327143i | −0.555547 | − | 0.0874326i | ||||
\(15\) | −1.51688 | + | 1.75057i | −0.391656 | + | 0.451995i | ||||
\(16\) | 0.350821 | + | 0.492660i | 0.0877054 | + | 0.123165i | ||||
\(17\) | 0.361987 | − | 7.59904i | 0.0877947 | − | 1.84304i | −0.341510 | − | 0.939878i | \(-0.610938\pi\) |
0.429304 | − | 0.903160i | \(-0.358759\pi\) | |||||||
\(18\) | 0.625173 | − | 0.491642i | 0.147355 | − | 0.115881i | ||||
\(19\) | 0.172516 | + | 3.62155i | 0.0395778 | + | 0.830841i | 0.928173 | + | 0.372149i | \(0.121379\pi\) |
−0.888595 | + | 0.458692i | \(0.848318\pi\) | |||||||
\(20\) | 2.07425 | + | 2.39381i | 0.463816 | + | 0.535272i | ||||
\(21\) | −2.56265 | − | 0.657903i | −0.559216 | − | 0.143566i | ||||
\(22\) | −0.156415 | −0.0333477 | ||||||||
\(23\) | 4.26887 | − | 2.18558i | 0.890121 | − | 0.455725i | ||||
\(24\) | −1.33912 | − | 2.31942i | −0.273347 | − | 0.473450i | ||||
\(25\) | 0.264459 | + | 0.252161i | 0.0528918 | + | 0.0504323i | ||||
\(26\) | 0.686720 | − | 0.132354i | 0.134677 | − | 0.0259568i | ||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | −1.38920 | + | 3.34058i | −0.262534 | + | 0.631311i | ||||
\(29\) | −1.02138 | − | 0.656400i | −0.189665 | − | 0.121890i | 0.442362 | − | 0.896837i | \(-0.354141\pi\) |
−0.632027 | + | 0.774946i | \(0.717777\pi\) | |||||||
\(30\) | −1.06861 | − | 1.50066i | −0.195101 | − | 0.273981i | ||||
\(31\) | 1.47094 | + | 0.283501i | 0.264189 | + | 0.0509183i | 0.319626 | − | 0.947544i | \(-0.396443\pi\) |
−0.0554364 | + | 0.998462i | \(0.517655\pi\) | |||||||
\(32\) | −5.41935 | + | 2.16958i | −0.958014 | + | 0.383531i | ||||
\(33\) | −0.195775 | − | 0.0186943i | −0.0340801 | − | 0.00325426i | ||||
\(34\) | 5.80552 | + | 1.70465i | 0.995639 | + | 0.292346i | ||||
\(35\) | −1.80464 | + | 5.85672i | −0.305040 | + | 0.989966i | ||||
\(36\) | −0.568058 | − | 1.24387i | −0.0946763 | − | 0.207312i | ||||
\(37\) | −2.16539 | − | 1.70288i | −0.355987 | − | 0.279952i | 0.424109 | − | 0.905611i | \(-0.360587\pi\) |
−0.780096 | + | 0.625660i | \(0.784830\pi\) | |||||||
\(38\) | −2.83149 | − | 0.545725i | −0.459329 | − | 0.0885284i | ||||
\(39\) | 0.875347 | − | 0.0835855i | 0.140168 | − | 0.0133844i | ||||
\(40\) | −5.51407 | + | 2.84270i | −0.871851 | + | 0.449470i | ||||
\(41\) | −0.172968 | − | 1.20302i | −0.0270131 | − | 0.187880i | 0.971847 | − | 0.235612i | \(-0.0757096\pi\) |
−0.998860 | + | 0.0477325i | \(0.984801\pi\) | |||||||
\(42\) | 0.989015 | − | 1.85734i | 0.152608 | − | 0.286594i | ||||
\(43\) | 1.16802 | + | 1.34797i | 0.178121 | + | 0.205563i | 0.837788 | − | 0.545995i | \(-0.183848\pi\) |
−0.659667 | + | 0.751558i | \(0.729303\pi\) | |||||||
\(44\) | −0.0634027 | + | 0.261350i | −0.00955832 | + | 0.0393999i | ||||
\(45\) | −1.15817 | − | 2.00601i | −0.172649 | − | 0.299038i | ||||
\(46\) | 0.888823 | + | 3.70927i | 0.131050 | + | 0.546903i | ||||
\(47\) | 0.751264 | − | 1.30123i | 0.109583 | − | 0.189804i | −0.806018 | − | 0.591891i | \(-0.798382\pi\) |
0.915601 | + | 0.402087i | \(0.131715\pi\) | |||||||
\(48\) | −0.580306 | + | 0.170393i | −0.0837600 | + | 0.0245942i | ||||
\(49\) | −6.90631 | + | 1.14146i | −0.986615 | + | 0.163066i | ||||
\(50\) | −0.244487 | + | 0.157122i | −0.0345756 | + | 0.0222204i | ||||
\(51\) | 7.06271 | + | 2.82748i | 0.988977 | + | 0.395927i | ||||
\(52\) | 0.0572141 | − | 1.20107i | 0.00793417 | − | 0.166559i | ||||
\(53\) | −10.5330 | + | 1.00578i | −1.44681 | + | 0.138154i | −0.788706 | − | 0.614771i | \(-0.789249\pi\) |
−0.658107 | + | 0.752924i | \(0.728643\pi\) | |||||||
\(54\) | 0.260128 | + | 0.751589i | 0.0353989 | + | 0.102278i | ||||
\(55\) | −0.0648307 | + | 0.450908i | −0.00874177 | + | 0.0608004i | ||||
\(56\) | −5.71687 | − | 4.18666i | −0.763948 | − | 0.559467i | ||||
\(57\) | −3.47879 | − | 1.02147i | −0.460778 | − | 0.135297i | ||||
\(58\) | 0.698855 | − | 0.666357i | 0.0917642 | − | 0.0874970i | ||||
\(59\) | 3.76852 | − | 5.29215i | 0.490620 | − | 0.688979i | −0.492837 | − | 0.870122i | \(-0.664040\pi\) |
0.983457 | + | 0.181142i | \(0.0579795\pi\) | |||||||
\(60\) | −2.94057 | + | 1.17723i | −0.379626 | + | 0.151979i | ||||
\(61\) | 4.51254 | + | 13.0381i | 0.577771 | + | 1.66936i | 0.731984 | + | 0.681322i | \(0.238595\pi\) |
−0.154213 | + | 0.988038i | \(0.549284\pi\) | |||||||
\(62\) | −0.494933 | + | 1.08375i | −0.0628566 | + | 0.137637i | ||||
\(63\) | 1.45988 | − | 2.20653i | 0.183927 | − | 0.277996i | ||||
\(64\) | −0.488587 | − | 3.39819i | −0.0610733 | − | 0.424774i | ||||
\(65\) | −0.0969158 | − | 2.03451i | −0.0120209 | − | 0.252350i | ||||
\(66\) | 0.0511583 | − | 0.147812i | 0.00629715 | − | 0.0181944i | ||||
\(67\) | 1.95760 | + | 1.86656i | 0.239158 | + | 0.228037i | 0.800174 | − | 0.599768i | \(-0.204741\pi\) |
−0.561015 | + | 0.827805i | \(0.689589\pi\) | |||||||
\(68\) | 5.20153 | − | 9.00932i | 0.630779 | − | 1.09254i | ||||
\(69\) | 0.669166 | + | 4.74892i | 0.0805581 | + | 0.571702i | ||||
\(70\) | −4.18835 | − | 2.49300i | −0.500604 | − | 0.297971i | ||||
\(71\) | −0.831265 | + | 0.244081i | −0.0986530 | + | 0.0289671i | −0.330687 | − | 0.943741i | \(-0.607280\pi\) |
0.232034 | + | 0.972708i | \(0.425462\pi\) | |||||||
\(72\) | 2.62984 | − | 0.506860i | 0.309930 | − | 0.0597340i | ||||
\(73\) | 7.83592 | + | 4.03970i | 0.917125 | + | 0.472811i | 0.851098 | − | 0.525007i | \(-0.175937\pi\) |
0.0660270 | + | 0.997818i | \(0.478968\pi\) | |||||||
\(74\) | 1.72220 | − | 1.35435i | 0.200202 | − | 0.157440i | ||||
\(75\) | −0.324789 | + | 0.167440i | −0.0375034 | + | 0.0193343i | ||||
\(76\) | −2.05958 | + | 4.50986i | −0.236251 | + | 0.517317i | ||||
\(77\) | −0.493932 | + | 0.163628i | −0.0562887 | + | 0.0186471i | ||||
\(78\) | −0.0995290 | + | 0.692239i | −0.0112694 | + | 0.0783807i | ||||
\(79\) | 2.53186 | + | 0.241763i | 0.284856 | + | 0.0272005i | 0.236506 | − | 0.971630i | \(-0.423998\pi\) |
0.0483501 | + | 0.998830i | \(0.484604\pi\) | |||||||
\(80\) | 0.330282 | + | 1.36144i | 0.0369267 | + | 0.152214i | ||||
\(81\) | 0.235759 | + | 0.971812i | 0.0261954 | + | 0.107979i | ||||
\(82\) | 0.962261 | + | 0.0918848i | 0.106264 | + | 0.0101470i | ||||
\(83\) | 1.89350 | − | 13.1696i | 0.207838 | − | 1.44555i | −0.572353 | − | 0.820007i | \(-0.693969\pi\) |
0.780192 | − | 0.625540i | \(-0.215121\pi\) | |||||||
\(84\) | −2.70249 | − | 2.40539i | −0.294866 | − | 0.262450i | ||||
\(85\) | 7.32040 | − | 16.0294i | 0.794008 | − | 1.73864i | ||||
\(86\) | −1.26087 | + | 0.650024i | −0.135963 | + | 0.0700939i | ||||
\(87\) | 0.954359 | − | 0.750516i | 0.102318 | − | 0.0804638i | ||||
\(88\) | −0.468166 | − | 0.241356i | −0.0499067 | − | 0.0257287i | ||||
\(89\) | 7.83798 | − | 1.51065i | 0.830824 | − | 0.160128i | 0.243931 | − | 0.969793i | \(-0.421563\pi\) |
0.586893 | + | 0.809664i | \(0.300351\pi\) | |||||||
\(90\) | 1.76763 | − | 0.519023i | 0.186325 | − | 0.0547099i | ||||
\(91\) | 2.03009 | − | 1.13634i | 0.212811 | − | 0.119121i | ||||
\(92\) | 6.55802 | + | 0.0184421i | 0.683721 | + | 0.00192272i | ||||
\(93\) | −0.749007 | + | 1.29732i | −0.0776684 | + | 0.134526i | ||||
\(94\) | 0.864869 | + | 0.824651i | 0.0892044 | + | 0.0850562i | ||||
\(95\) | −2.74680 | + | 7.93635i | −0.281815 | + | 0.814252i | ||||
\(96\) | −0.277759 | − | 5.83089i | −0.0283487 | − | 0.595112i | ||||
\(97\) | −1.22151 | − | 8.49576i | −0.124025 | − | 0.862614i | −0.952923 | − | 0.303213i | \(-0.901940\pi\) |
0.828898 | − | 0.559401i | \(-0.188969\pi\) | |||||||
\(98\) | 0.412729 | − | 5.55200i | 0.0416919 | − | 0.560837i | ||||
\(99\) | 0.0816980 | − | 0.178894i | 0.00821096 | − | 0.0179795i | ||||
\(100\) | 0.163429 | + | 0.472196i | 0.0163429 | + | 0.0472196i | ||||
\(101\) | 9.04591 | − | 3.62144i | 0.900102 | − | 0.360346i | 0.124981 | − | 0.992159i | \(-0.460113\pi\) |
0.775121 | + | 0.631813i | \(0.217689\pi\) | |||||||
\(102\) | −3.50970 | + | 4.92868i | −0.347512 | + | 0.488012i | ||||
\(103\) | 13.8119 | − | 13.1696i | 1.36093 | − | 1.29764i | 0.445435 | − | 0.895314i | \(-0.353049\pi\) |
0.915495 | − | 0.402329i | \(-0.131799\pi\) | |||||||
\(104\) | 2.25965 | + | 0.663494i | 0.221577 | + | 0.0650610i | ||||
\(105\) | −4.94436 | − | 3.62093i | −0.482520 | − | 0.353367i | ||||
\(106\) | 1.19762 | − | 8.32965i | 0.116323 | − | 0.809047i | ||||
\(107\) | 2.97712 | + | 8.60182i | 0.287809 | + | 0.831569i | 0.992521 | + | 0.122076i | \(0.0389551\pi\) |
−0.704712 | + | 0.709494i | \(0.748924\pi\) | |||||||
\(108\) | 1.36126 | − | 0.129984i | 0.130987 | − | 0.0125077i | ||||
\(109\) | −0.730901 | + | 15.3435i | −0.0700076 | + | 1.46964i | 0.641587 | + | 0.767050i | \(0.278276\pi\) |
−0.711595 | + | 0.702590i | \(0.752027\pi\) | |||||||
\(110\) | −0.336356 | − | 0.134657i | −0.0320703 | − | 0.0128390i | ||||
\(111\) | 2.31745 | − | 1.48934i | 0.219963 | − | 0.141361i | ||||
\(112\) | −1.22315 | + | 1.03171i | −0.115577 | + | 0.0974872i | ||||
\(113\) | −7.49163 | + | 2.19974i | −0.704753 | + | 0.206934i | −0.614422 | − | 0.788978i | \(-0.710611\pi\) |
−0.0903312 | + | 0.995912i | \(0.528793\pi\) | |||||||
\(114\) | 1.44180 | − | 2.49727i | 0.135037 | − | 0.233891i | ||||
\(115\) | 11.0614 | − | 1.02485i | 1.03148 | − | 0.0955680i | ||||
\(116\) | −0.830119 | − | 1.43781i | −0.0770746 | − | 0.133497i | ||||
\(117\) | −0.207309 | + | 0.854541i | −0.0191658 | + | 0.0790024i | ||||
\(118\) | 3.38375 | + | 3.90505i | 0.311499 | + | 0.359489i | ||||
\(119\) | 20.1161 | − | 0.690229i | 1.84404 | − | 0.0632732i | ||||
\(120\) | −0.882878 | − | 6.14055i | −0.0805954 | − | 0.560553i | ||||
\(121\) | 9.74281 | − | 5.02277i | 0.885710 | − | 0.456615i | ||||
\(122\) | −10.9235 | + | 1.04306i | −0.988963 | + | 0.0944345i | ||||
\(123\) | 1.19343 | + | 0.230014i | 0.107608 | + | 0.0207397i | ||||
\(124\) | 1.61019 | + | 1.26627i | 0.144600 | + | 0.113714i | ||||
\(125\) | −4.45959 | − | 9.76514i | −0.398878 | − | 0.873421i | ||||
\(126\) | 1.43171 | + | 1.54210i | 0.127547 | + | 0.137381i | ||||
\(127\) | −17.7798 | − | 5.22063i | −1.57770 | − | 0.463256i | −0.628472 | − | 0.777832i | \(-0.716319\pi\) |
−0.949232 | + | 0.314576i | \(0.898138\pi\) | |||||||
\(128\) | −8.90401 | − | 0.850230i | −0.787011 | − | 0.0751504i | ||||
\(129\) | −1.65585 | + | 0.662903i | −0.145790 | + | 0.0583653i | ||||
\(130\) | 1.59067 | + | 0.306577i | 0.139511 | + | 0.0268886i | ||||
\(131\) | −0.596203 | − | 0.837249i | −0.0520905 | − | 0.0731508i | 0.787709 | − | 0.616047i | \(-0.211267\pi\) |
−0.839800 | + | 0.542896i | \(0.817328\pi\) | |||||||
\(132\) | −0.226239 | − | 0.145395i | −0.0196915 | − | 0.0126550i | ||||
\(133\) | −9.51227 | + | 1.23876i | −0.824819 | + | 0.107414i | ||||
\(134\) | −1.80975 | + | 1.16306i | −0.156339 | + | 0.100473i | ||||
\(135\) | 2.27448 | − | 0.438369i | 0.195756 | − | 0.0377288i | ||||
\(136\) | 14.7462 | + | 14.0604i | 1.26447 | + | 1.20567i | ||||
\(137\) | −1.93201 | − | 3.34634i | −0.165063 | − | 0.285897i | 0.771615 | − | 0.636090i | \(-0.219449\pi\) |
−0.936678 | + | 0.350193i | \(0.886116\pi\) | |||||||
\(138\) | −3.79597 | − | 0.373246i | −0.323135 | − | 0.0317728i | ||||
\(139\) | 6.70678 | 0.568862 | 0.284431 | − | 0.958697i | \(-0.408195\pi\) | ||||
0.284431 | + | 0.958697i | \(0.408195\pi\) | |||||||
\(140\) | −5.86325 | + | 5.98767i | −0.495535 | + | 0.506051i | ||||
\(141\) | 0.983947 | + | 1.13554i | 0.0828633 | + | 0.0956293i | ||||
\(142\) | −0.0327860 | − | 0.688262i | −0.00275134 | − | 0.0577577i | ||||
\(143\) | 0.135935 | − | 0.106901i | 0.0113675 | − | 0.00893948i | ||||
\(144\) | 0.0287778 | − | 0.604120i | 0.00239815 | − | 0.0503434i | ||||
\(145\) | −1.63129 | − | 2.29083i | −0.135471 | − | 0.190243i | ||||
\(146\) | −4.59162 | + | 5.29901i | −0.380005 | + | 0.438549i | ||||
\(147\) | 1.18015 | − | 6.89980i | 0.0973372 | − | 0.569086i | ||||
\(148\) | −1.56486 | − | 3.42657i | −0.128631 | − | 0.281662i | ||||
\(149\) | −3.72918 | + | 3.55577i | −0.305506 | + | 0.291300i | −0.827286 | − | 0.561780i | \(-0.810117\pi\) |
0.521780 | + | 0.853080i | \(0.325268\pi\) | |||||||
\(150\) | −0.0685167 | − | 0.282430i | −0.00559436 | − | 0.0230603i | ||||
\(151\) | −6.14079 | + | 8.62353i | −0.499730 | + | 0.701773i | −0.984993 | − | 0.172595i | \(-0.944785\pi\) |
0.485262 | + | 0.874369i | \(0.338724\pi\) | |||||||
\(152\) | −7.63287 | − | 6.00256i | −0.619108 | − | 0.486872i | ||||
\(153\) | −4.98196 | + | 5.74948i | −0.402767 | + | 0.464818i | ||||
\(154\) | −0.0338546 | − | 0.412447i | −0.00272808 | − | 0.0332360i | ||||
\(155\) | 2.91907 | + | 1.87597i | 0.234465 | + | 0.150682i | ||||
\(156\) | 1.11630 | + | 0.446900i | 0.0893757 | + | 0.0357806i | ||||
\(157\) | −18.7470 | − | 9.66474i | −1.49617 | − | 0.771330i | −0.500631 | − | 0.865661i | \(-0.666899\pi\) |
−0.995541 | + | 0.0943302i | \(0.969929\pi\) | |||||||
\(158\) | −0.661602 | + | 1.91157i | −0.0526342 | + | 0.152077i | ||||
\(159\) | 2.49453 | − | 10.2826i | 0.197829 | − | 0.815464i | ||||
\(160\) | −13.5216 | −1.06898 | ||||||||
\(161\) | 6.68708 | + | 10.7835i | 0.527016 | + | 0.849855i | ||||
\(162\) | −0.795332 | −0.0624872 | ||||||||
\(163\) | 3.34169 | − | 13.7746i | 0.261741 | − | 1.07891i | −0.677464 | − | 0.735556i | \(-0.736921\pi\) |
0.939205 | − | 0.343357i | \(-0.111564\pi\) | |||||||
\(164\) | 0.543581 | − | 1.57057i | 0.0424465 | − | 0.122641i | ||||
\(165\) | −0.404904 | − | 0.208743i | −0.0315217 | − | 0.0162506i | ||||
\(166\) | 9.82388 | + | 3.93289i | 0.762481 | + | 0.305251i | ||||
\(167\) | 13.9202 | + | 8.94598i | 1.07718 | + | 0.692261i | 0.953904 | − | 0.300111i | \(-0.0970239\pi\) |
0.123275 | + | 0.992373i | \(0.460660\pi\) | |||||||
\(168\) | 5.82621 | − | 4.03312i | 0.449502 | − | 0.311162i | ||||
\(169\) | 8.00684 | − | 9.24039i | 0.615911 | − | 0.710799i | ||||
\(170\) | 11.0167 | + | 8.66365i | 0.844945 | + | 0.664472i | ||||
\(171\) | 2.10309 | − | 2.95337i | 0.160827 | − | 0.225850i | ||||
\(172\) | 0.575016 | + | 2.37025i | 0.0438445 | + | 0.180730i | ||||
\(173\) | −9.13333 | + | 8.70861i | −0.694394 | + | 0.662104i | −0.952684 | − | 0.303964i | \(-0.901690\pi\) |
0.258289 | + | 0.966068i | \(0.416841\pi\) | |||||||
\(174\) | 0.401135 | + | 0.878363i | 0.0304100 | + | 0.0665885i | ||||
\(175\) | −0.607680 | + | 0.751926i | −0.0459363 | + | 0.0568403i | ||||
\(176\) | −0.0778922 | + | 0.0898923i | −0.00587134 | + | 0.00677589i | ||||
\(177\) | 3.76852 | + | 5.29215i | 0.283260 | + | 0.397782i | ||||
\(178\) | −0.302075 | + | 6.34133i | −0.0226415 | + | 0.475303i | ||||
\(179\) | 0.363327 | − | 0.285724i | 0.0271564 | − | 0.0213560i | −0.604489 | − | 0.796614i | \(-0.706622\pi\) |
0.631645 | + | 0.775258i | \(0.282380\pi\) | |||||||
\(180\) | −0.150714 | − | 3.16388i | −0.0112336 | − | 0.235822i | ||||
\(181\) | 6.94493 | + | 8.01488i | 0.516213 | + | 0.595741i | 0.952679 | − | 0.303980i | \(-0.0983155\pi\) |
−0.436466 | + | 0.899721i | \(0.643770\pi\) | |||||||
\(182\) | 0.497637 | + | 1.78215i | 0.0368873 | + | 0.132102i | ||||
\(183\) | −13.7969 | −1.01990 | ||||||||
\(184\) | −3.06327 | + | 12.4738i | −0.225827 | + | 0.919577i | ||||
\(185\) | −3.19047 | − | 5.52606i | −0.234568 | − | 0.406284i | ||||
\(186\) | −0.862270 | − | 0.822173i | −0.0632247 | − | 0.0602846i | ||||
\(187\) | 1.46913 | − | 0.283152i | 0.107433 | − | 0.0207061i | ||||
\(188\) | 1.72846 | − | 1.11082i | 0.126061 | − | 0.0810146i | ||||
\(189\) | 1.60769 | + | 2.10127i | 0.116942 | + | 0.152845i | ||||
\(190\) | −5.61906 | − | 3.61115i | −0.407650 | − | 0.261980i | ||||
\(191\) | 3.25852 | + | 4.57595i | 0.235778 | + | 0.331104i | 0.915464 | − | 0.402399i | \(-0.131823\pi\) |
−0.679686 | + | 0.733503i | \(0.737884\pi\) | |||||||
\(192\) | 3.37110 | + | 0.649726i | 0.243288 | + | 0.0468899i | ||||
\(193\) | −0.0607922 | + | 0.0243375i | −0.00437592 | + | 0.00175185i | −0.373849 | − | 0.927489i | \(-0.621962\pi\) |
0.369473 | + | 0.929241i | \(0.379538\pi\) | |||||||
\(194\) | 6.79552 | + | 0.648894i | 0.487890 | + | 0.0465879i | ||||
\(195\) | 1.95431 | + | 0.573838i | 0.139951 | + | 0.0410934i | ||||
\(196\) | −9.10941 | − | 2.94012i | −0.650672 | − | 0.210009i | ||||
\(197\) | −0.541418 | − | 1.18554i | −0.0385745 | − | 0.0844663i | 0.889364 | − | 0.457200i | \(-0.151148\pi\) |
−0.927938 | + | 0.372734i | \(0.878420\pi\) | |||||||
\(198\) | 0.122950 | + | 0.0966892i | 0.00873770 | + | 0.00687140i | ||||
\(199\) | −17.8013 | − | 3.43093i | −1.26190 | − | 0.243212i | −0.485941 | − | 0.873991i | \(-0.661523\pi\) |
−0.775962 | + | 0.630780i | \(0.782735\pi\) | |||||||
\(200\) | −0.974222 | + | 0.0930269i | −0.0688879 | + | 0.00657800i | ||||
\(201\) | −2.40417 | + | 1.23944i | −0.169577 | + | 0.0874231i | ||||
\(202\) | 1.10289 | + | 7.67074i | 0.0775988 | + | 0.539712i | ||||
\(203\) | 1.50978 | − | 2.83533i | 0.105966 | − | 0.199001i | ||||
\(204\) | 6.81256 | + | 7.86211i | 0.476975 | + | 0.550458i | ||||
\(205\) | 0.663720 | − | 2.73589i | 0.0463562 | − | 0.191083i | ||||
\(206\) | 7.58916 | + | 13.1448i | 0.528762 | + | 0.915842i | ||||
\(207\) | −4.70659 | − | 0.920856i | −0.327131 | − | 0.0640039i | ||||
\(208\) | 0.265911 | − | 0.460572i | 0.0184376 | − | 0.0319349i | ||||
\(209\) | −0.684161 | + | 0.200888i | −0.0473244 | + | 0.0138957i | ||||
\(210\) | 3.72577 | − | 3.14261i | 0.257102 | − | 0.216861i | ||||
\(211\) | −7.84565 | + | 5.04209i | −0.540117 | + | 0.347112i | −0.782085 | − | 0.623172i | \(-0.785844\pi\) |
0.241968 | + | 0.970284i | \(0.422207\pi\) | |||||||
\(212\) | −13.4323 | − | 5.37750i | −0.922537 | − | 0.369328i | ||||
\(213\) | 0.0412230 | − | 0.865377i | 0.00282455 | − | 0.0592947i | ||||
\(214\) | −7.20669 | + | 0.688155i | −0.492639 | + | 0.0470413i | ||||
\(215\) | 1.35126 | + | 3.90422i | 0.0921555 | + | 0.266266i | ||||
\(216\) | −0.381153 | + | 2.65098i | −0.0259342 | + | 0.180376i | ||||
\(217\) | −0.429186 | + | 3.94007i | −0.0291351 | + | 0.267469i | ||||
\(218\) | −11.7221 | − | 3.44193i | −0.793923 | − | 0.233117i | ||||
\(219\) | −6.38039 | + | 6.08369i | −0.431147 | + | 0.411098i | ||||
\(220\) | −0.361336 | + | 0.507426i | −0.0243613 | + | 0.0342107i | ||||
\(221\) | −6.21044 | + | 2.48628i | −0.417759 | + | 0.167246i | ||||
\(222\) | 0.716589 | + | 2.07045i | 0.0480943 | + | 0.138959i | ||||
\(223\) | 2.50405 | − | 5.48310i | 0.167683 | − | 0.367176i | −0.807071 | − | 0.590454i | \(-0.798949\pi\) |
0.974755 | + | 0.223279i | \(0.0716759\pi\) | |||||||
\(224\) | −6.89390 | − | 13.8206i | −0.460618 | − | 0.923427i | ||||
\(225\) | −0.0520032 | − | 0.361690i | −0.00346688 | − | 0.0241127i | ||||
\(226\) | −0.295478 | − | 6.20284i | −0.0196549 | − | 0.412607i | ||||
\(227\) | 4.77477 | − | 13.7958i | 0.316913 | − | 0.915660i | −0.668235 | − | 0.743950i | \(-0.732950\pi\) |
0.985148 | − | 0.171709i | \(-0.0549289\pi\) | |||||||
\(228\) | −3.58820 | − | 3.42134i | −0.237634 | − | 0.226584i | ||||
\(229\) | 10.5023 | − | 18.1905i | 0.694010 | − | 1.20206i | −0.276504 | − | 0.961013i | \(-0.589176\pi\) |
0.970513 | − | 0.241047i | \(-0.0774909\pi\) | |||||||
\(230\) | −1.28196 | + | 8.74165i | −0.0845300 | + | 0.576407i | ||||
\(231\) | 0.00692077 | − | 0.520283i | 0.000455353 | − | 0.0342321i | ||||
\(232\) | 3.11997 | − | 0.916107i | 0.204836 | − | 0.0601454i | ||||
\(233\) | 7.95236 | − | 1.53269i | 0.520976 | − | 0.100410i | 0.0780176 | − | 0.996952i | \(-0.475141\pi\) |
0.442959 | + | 0.896542i | \(0.353929\pi\) | |||||||
\(234\) | −0.621614 | − | 0.320464i | −0.0406362 | − | 0.0209494i | ||||
\(235\) | 2.73575 | − | 2.15142i | 0.178461 | − | 0.140343i | ||||
\(236\) | 7.89646 | − | 4.07091i | 0.514016 | − | 0.264994i | ||||
\(237\) | −1.05656 | + | 2.31354i | −0.0686307 | + | 0.150280i | ||||
\(238\) | −3.23842 | + | 15.6774i | −0.209916 | + | 1.01622i | ||||
\(239\) | −3.82046 | + | 26.5719i | −0.247125 | + | 1.71879i | 0.367544 | + | 0.930006i | \(0.380199\pi\) |
−0.614669 | + | 0.788785i | \(0.710710\pi\) | |||||||
\(240\) | −1.39459 | − | 0.133167i | −0.0900203 | − | 0.00859590i | ||||
\(241\) | −3.65812 | − | 15.0790i | −0.235640 | − | 0.971322i | −0.959575 | − | 0.281454i | \(-0.909183\pi\) |
0.723935 | − | 0.689869i | \(-0.242332\pi\) | |||||||
\(242\) | 2.05532 | + | 8.47215i | 0.132121 | + | 0.544610i | ||||
\(243\) | −0.995472 | − | 0.0950560i | −0.0638596 | − | 0.00609785i | ||||
\(244\) | −2.68499 | + | 18.6745i | −0.171889 | + | 1.19552i | ||||
\(245\) | −15.8341 | − | 3.49099i | −1.01160 | − | 0.223031i | ||||
\(246\) | −0.401556 | + | 0.879285i | −0.0256023 | + | 0.0560612i | ||||
\(247\) | 2.83374 | − | 1.46089i | 0.180306 | − | 0.0929544i | ||||
\(248\) | −3.15368 | + | 2.48008i | −0.200259 | + | 0.157485i | ||||
\(249\) | 11.8259 | + | 6.09670i | 0.749439 | + | 0.386363i | ||||
\(250\) | 8.38381 | − | 1.61585i | 0.530238 | − | 0.102195i | ||||
\(251\) | −12.7718 | + | 3.75015i | −0.806152 | + | 0.236707i | −0.658743 | − | 0.752368i | \(-0.728911\pi\) |
−0.147409 | + | 0.989076i | \(0.547093\pi\) | |||||||
\(252\) | 3.15700 | − | 1.76713i | 0.198872 | − | 0.111319i | ||||
\(253\) | 0.615643 | + | 0.714540i | 0.0387051 | + | 0.0449227i | ||||
\(254\) | 7.36893 | − | 12.7634i | 0.462368 | − | 0.800844i | ||||
\(255\) | 12.7536 | + | 12.1605i | 0.798659 | + | 0.761520i | ||||
\(256\) | 4.57245 | − | 13.2112i | 0.285778 | − | 0.825702i | ||||
\(257\) | 0.544136 | + | 11.4228i | 0.0339422 | + | 0.712535i | 0.950143 | + | 0.311815i | \(0.100937\pi\) |
−0.916200 | + | 0.400720i | \(0.868760\pi\) | |||||||
\(258\) | −0.201883 | − | 1.40413i | −0.0125687 | − | 0.0874171i | ||||
\(259\) | 4.02161 | − | 6.07845i | 0.249891 | − | 0.377696i | ||||
\(260\) | 1.15703 | − | 2.53355i | 0.0717560 | − | 0.157124i | ||||
\(261\) | 0.397098 | + | 1.14734i | 0.0245798 | + | 0.0710185i | ||||
\(262\) | 0.758913 | − | 0.303823i | 0.0468858 | − | 0.0187702i | ||||
\(263\) | −10.1669 | + | 14.2774i | −0.626915 | + | 0.880379i | −0.998853 | − | 0.0478782i | \(-0.984754\pi\) |
0.371938 | + | 0.928258i | \(0.378693\pi\) | |||||||
\(264\) | 0.381204 | − | 0.363477i | 0.0234615 | − | 0.0223705i | ||||
\(265\) | −23.5161 | − | 6.90494i | −1.44458 | − | 0.424167i | ||||
\(266\) | 0.826162 | − | 7.58443i | 0.0506553 | − | 0.465031i | ||||
\(267\) | −1.13599 | + | 7.90098i | −0.0695215 | + | 0.483532i | ||||
\(268\) | 1.20974 | + | 3.49532i | 0.0738967 | + | 0.213511i | ||||
\(269\) | −21.9478 | + | 2.09576i | −1.33818 | + | 0.127781i | −0.739472 | − | 0.673188i | \(-0.764925\pi\) |
−0.598707 | + | 0.800968i | \(0.704319\pi\) | |||||||
\(270\) | −0.0876581 | + | 1.84017i | −0.00533470 | + | 0.111989i | ||||
\(271\) | 18.9378 | + | 7.58157i | 1.15039 | + | 0.460547i | 0.866927 | − | 0.498435i | \(-0.166092\pi\) |
0.283465 | + | 0.958983i | \(0.408516\pi\) | |||||||
\(272\) | 3.87073 | − | 2.48757i | 0.234698 | − | 0.150831i | ||||
\(273\) | 0.409866 | + | 2.29010i | 0.0248062 | + | 0.138603i | ||||
\(274\) | 2.94869 | − | 0.865814i | 0.178137 | − | 0.0523058i | ||||
\(275\) | −0.0359318 | + | 0.0622357i | −0.00216677 | + | 0.00375295i | ||||
\(276\) | −2.16235 | + | 6.19130i | −0.130158 | + | 0.372673i | ||||
\(277\) | 2.09887 | + | 3.63536i | 0.126109 | + | 0.218427i | 0.922166 | − | 0.386794i | \(-0.126418\pi\) |
−0.796057 | + | 0.605222i | \(0.793084\pi\) | |||||||
\(278\) | −1.25757 | + | 5.18376i | −0.0754238 | + | 0.310901i | ||||
\(279\) | −0.980990 | − | 1.13212i | −0.0587304 | − | 0.0677785i | ||||
\(280\) | −8.68934 | − | 13.9247i | −0.519287 | − | 0.832158i | ||||
\(281\) | −4.01801 | − | 27.9458i | −0.239694 | − | 1.66711i | −0.653638 | − | 0.756807i | \(-0.726758\pi\) |
0.413944 | − | 0.910302i | \(-0.364151\pi\) | |||||||
\(282\) | −1.06217 | + | 0.547585i | −0.0632511 | + | 0.0326082i | ||||
\(283\) | −29.2428 | + | 2.79235i | −1.73830 | + | 0.165988i | −0.915495 | − | 0.402329i | \(-0.868201\pi\) |
−0.822809 | + | 0.568317i | \(0.807595\pi\) | |||||||
\(284\) | −1.16329 | − | 0.224206i | −0.0690286 | − | 0.0133042i | ||||
\(285\) | −6.60146 | − | 5.19145i | −0.391037 | − | 0.307515i | ||||
\(286\) | 0.0571361 | + | 0.125111i | 0.00337853 | + | 0.00739795i | ||||
\(287\) | 3.13478 | − | 0.716479i | 0.185040 | − | 0.0422924i | ||||
\(288\) | 5.60104 | + | 1.64461i | 0.330044 | + | 0.0969098i | ||||
\(289\) | −40.6914 | − | 3.88555i | −2.39361 | − | 0.228562i | ||||
\(290\) | 2.07649 | − | 0.831301i | 0.121936 | − | 0.0488157i | ||||
\(291\) | 8.42802 | + | 1.62437i | 0.494059 | + | 0.0952221i | ||||
\(292\) | 6.99278 | + | 9.81998i | 0.409221 | + | 0.574671i | ||||
\(293\) | −1.19804 | − | 0.769933i | −0.0699902 | − | 0.0449800i | 0.505178 | − | 0.863015i | \(-0.331427\pi\) |
−0.575168 | + | 0.818035i | \(0.695063\pi\) | |||||||
\(294\) | 5.11166 | + | 2.20591i | 0.298118 | + | 0.128651i | ||||
\(295\) | 12.6599 | − | 8.13600i | 0.737086 | − | 0.473696i | ||||
\(296\) | 7.24457 | − | 1.39628i | 0.421082 | − | 0.0811570i | ||||
\(297\) | 0.142334 | + | 0.135715i | 0.00825905 | + | 0.00787499i | ||||
\(298\) | −2.04905 | − | 3.54906i | −0.118698 | − | 0.205592i | ||||
\(299\) | −3.30753 | − | 2.61616i | −0.191279 | − | 0.151296i | ||||
\(300\) | −0.499678 | −0.0288489 | ||||||||
\(301\) | −3.30162 | + | 3.37169i | −0.190302 | + | 0.194341i | ||||
\(302\) | −5.51380 | − | 6.36327i | −0.317284 | − | 0.366165i | ||||
\(303\) | 0.463633 | + | 9.73285i | 0.0266350 | + | 0.559138i | ||||
\(304\) | −1.72367 | + | 1.35551i | −0.0988593 | + | 0.0777438i | ||||
\(305\) | −1.52064 | + | 31.9221i | −0.0870715 | + | 1.82786i | ||||
\(306\) | −3.50970 | − | 4.92868i | −0.200636 | − | 0.281754i | ||||
\(307\) | −13.7162 | + | 15.8293i | −0.782824 | + | 0.903427i | −0.997310 | − | 0.0732999i | \(-0.976647\pi\) |
0.214486 | + | 0.976727i | \(0.431192\pi\) | |||||||
\(308\) | −0.702871 | − | 0.110619i | −0.0400498 | − | 0.00630309i | ||||
\(309\) | 7.92789 | + | 17.3597i | 0.451002 | + | 0.987556i | ||||
\(310\) | −1.99731 | + | 1.90443i | −0.113439 | + | 0.108164i | ||||
\(311\) | 4.26792 | + | 17.5926i | 0.242011 | + | 0.997584i | 0.955046 | + | 0.296456i | \(0.0958048\pi\) |
−0.713035 | + | 0.701128i | \(0.752680\pi\) | |||||||
\(312\) | −1.36606 | + | 1.91837i | −0.0773381 | + | 0.108606i | ||||
\(313\) | 7.43879 | + | 5.84993i | 0.420465 | + | 0.330658i | 0.805873 | − | 0.592089i | \(-0.201697\pi\) |
−0.385407 | + | 0.922747i | \(0.625939\pi\) | |||||||
\(314\) | 10.9852 | − | 12.6776i | 0.619930 | − | 0.715437i | ||||
\(315\) | 5.03893 | − | 3.48814i | 0.283911 | − | 0.196534i | ||||
\(316\) | 2.92582 | + | 1.88031i | 0.164590 | + | 0.105776i | ||||
\(317\) | −2.88041 | − | 1.15314i | −0.161780 | − | 0.0647668i | 0.289359 | − | 0.957221i | \(-0.406558\pi\) |
−0.451139 | + | 0.892454i | \(0.648982\pi\) | |||||||
\(318\) | 7.47982 | + | 3.85611i | 0.419447 | + | 0.216240i | ||||
\(319\) | 0.0780957 | − | 0.225643i | 0.00437252 | − | 0.0126336i | ||||
\(320\) | 1.87483 | − | 7.72814i | 0.104806 | − | 0.432016i | ||||
\(321\) | −9.10245 | −0.508049 | ||||||||
\(322\) | −9.58854 | + | 3.14656i | −0.534349 | + | 0.175351i | ||||
\(323\) | 27.5828 | 1.53475 | ||||||||
\(324\) | −0.322388 | + | 1.32890i | −0.0179104 | + | 0.0738278i | ||||
\(325\) | 0.105092 | − | 0.303643i | 0.00582944 | − | 0.0168431i | ||||
\(326\) | 10.0200 | + | 5.16567i | 0.554957 | + | 0.286100i | ||||
\(327\) | −14.2606 | − | 5.70907i | −0.788611 | − | 0.315712i | ||||
\(328\) | 2.73837 | + | 1.75984i | 0.151201 | + | 0.0971710i | ||||
\(329\) | 3.59379 | + | 1.69936i | 0.198132 | + | 0.0936886i | ||||
\(330\) | 0.237262 | − | 0.273815i | 0.0130608 | − | 0.0150730i | ||||
\(331\) | 25.8370 | + | 20.3184i | 1.42013 | + | 1.11680i | 0.975223 | + | 0.221222i | \(0.0710046\pi\) |
0.444904 | + | 0.895578i | \(0.353238\pi\) | |||||||
\(332\) | 10.5535 | − | 14.8203i | 0.579197 | − | 0.813369i | ||||
\(333\) | 0.649459 | + | 2.67711i | 0.0355901 | + | 0.146705i | ||||
\(334\) | −9.52460 | + | 9.08169i | −0.521163 | + | 0.496928i | ||||
\(335\) | 2.60272 | + | 5.69917i | 0.142202 | + | 0.311379i | ||||
\(336\) | −0.574910 | − | 1.49332i | −0.0313639 | − | 0.0814673i | ||||
\(337\) | 0.669198 | − | 0.772295i | 0.0364535 | − | 0.0420696i | −0.737230 | − | 0.675642i | \(-0.763867\pi\) |
0.773684 | + | 0.633572i | \(0.218412\pi\) | |||||||
\(338\) | 5.64068 | + | 7.92122i | 0.306812 | + | 0.430858i | ||||
\(339\) | 0.371515 | − | 7.79906i | 0.0201779 | − | 0.423587i | ||||
\(340\) | 18.9415 | − | 14.8958i | 1.02725 | − | 0.807837i | ||||
\(341\) | 0.0140180 | + | 0.294275i | 0.000759119 | + | 0.0159359i | ||||
\(342\) | 1.88836 | + | 2.17928i | 0.102111 | + | 0.117842i | ||||
\(343\) | −4.50471 | − | 17.9641i | −0.243231 | − | 0.969968i | ||||
\(344\) | −4.77695 | −0.257556 | ||||||||
\(345\) | −2.64934 | + | 10.7882i | −0.142635 | + | 0.580818i | ||||
\(346\) | −5.01844 | − | 8.69219i | −0.269793 | − | 0.467295i | ||||
\(347\) | 4.33882 | + | 4.13706i | 0.232920 | + | 0.222089i | 0.797546 | − | 0.603258i | \(-0.206131\pi\) |
−0.564626 | + | 0.825347i | \(0.690980\pi\) | |||||||
\(348\) | 1.63024 | − | 0.314202i | 0.0873898 | − | 0.0168430i | ||||
\(349\) | 4.08502 | − | 2.62529i | 0.218666 | − | 0.140528i | −0.426722 | − | 0.904383i | \(-0.640332\pi\) |
0.645389 | + | 0.763854i | \(0.276695\pi\) | |||||||
\(350\) | −0.467229 | − | 0.610675i | −0.0249745 | − | 0.0326419i | ||||
\(351\) | −0.739738 | − | 0.475401i | −0.0394843 | − | 0.0253750i | ||||
\(352\) | −0.665927 | − | 0.935164i | −0.0354940 | − | 0.0498444i | ||||
\(353\) | 16.3211 | + | 3.14564i | 0.868686 | + | 0.167426i | 0.604073 | − | 0.796929i | \(-0.293544\pi\) |
0.264613 | + | 0.964355i | \(0.414756\pi\) | |||||||
\(354\) | −4.79699 | + | 1.92043i | −0.254957 | + | 0.102070i | ||||
\(355\) | −1.99769 | − | 0.190756i | −0.106026 | − | 0.0101243i | ||||
\(356\) | 10.4731 | + | 3.07519i | 0.555075 | + | 0.162985i | ||||
\(357\) | −5.92708 | + | 19.2355i | −0.313694 | + | 1.01805i | ||||
\(358\) | 0.152713 | + | 0.334395i | 0.00807115 | + | 0.0176733i | ||||
\(359\) | −15.9310 | − | 12.5283i | −0.840809 | − | 0.661219i | 0.101915 | − | 0.994793i | \(-0.467503\pi\) |
−0.942724 | + | 0.333574i | \(0.891745\pi\) | |||||||
\(360\) | 6.09159 | + | 1.17406i | 0.321055 | + | 0.0618783i | ||||
\(361\) | 5.82809 | − | 0.556515i | 0.306741 | − | 0.0292902i | ||||
\(362\) | −7.49702 | + | 3.86498i | −0.394035 | + | 0.203139i | ||||
\(363\) | 1.55996 | + | 10.8498i | 0.0818766 | + | 0.569464i | ||||
\(364\) | 3.17947 | − | 0.109095i | 0.166650 | − | 0.00571811i | ||||
\(365\) | 13.3727 | + | 15.4329i | 0.699959 | + | 0.807796i | ||||
\(366\) | 2.58702 | − | 10.6638i | 0.135226 | − | 0.557407i | ||||
\(367\) | −10.1442 | − | 17.5702i | −0.529522 | − | 0.917159i | −0.999407 | − | 0.0344315i | \(-0.989038\pi\) |
0.469885 | − | 0.882728i | \(-0.344295\pi\) | |||||||
\(368\) | 2.57436 | + | 1.33635i | 0.134198 | + | 0.0696621i | ||||
\(369\) | −0.607695 | + | 1.05256i | −0.0316353 | + | 0.0547940i | ||||
\(370\) | 4.86940 | − | 1.42978i | 0.253148 | − | 0.0743309i | ||||
\(371\) | −4.93188 | − | 27.5565i | −0.256050 | − | 1.43066i | ||||
\(372\) | −1.72327 | + | 1.10748i | −0.0893474 | + | 0.0574201i | ||||
\(373\) | −28.6220 | − | 11.4585i | −1.48199 | − | 0.593300i | −0.517095 | − | 0.855928i | \(-0.672987\pi\) |
−0.964897 | + | 0.262627i | \(0.915411\pi\) | |||||||
\(374\) | −0.0566201 | + | 1.18860i | −0.00292776 | + | 0.0614612i | ||||
\(375\) | 10.6867 | − | 1.02045i | 0.551857 | − | 0.0526959i | ||||
\(376\) | 1.31616 | + | 3.80281i | 0.0678760 | + | 0.196115i | ||||
\(377\) | −0.151936 | + | 1.05674i | −0.00782511 | + | 0.0544248i | ||||
\(378\) | −1.92555 | + | 0.848601i | −0.0990397 | + | 0.0436473i | ||||
\(379\) | −30.8793 | − | 9.06699i | −1.58617 | − | 0.465740i | −0.634512 | − | 0.772913i | \(-0.718799\pi\) |
−0.951654 | + | 0.307173i | \(0.900617\pi\) | |||||||
\(380\) | −8.31147 | + | 7.92497i | −0.426369 | + | 0.406542i | ||||
\(381\) | 10.7487 | − | 15.0945i | 0.550673 | − | 0.773312i | ||||
\(382\) | −4.14781 | + | 1.66053i | −0.212220 | + | 0.0849601i | ||||
\(383\) | 10.4058 | + | 30.0656i | 0.531711 | + | 1.53628i | 0.816300 | + | 0.577628i | \(0.196022\pi\) |
−0.284589 | + | 0.958650i | \(0.591857\pi\) | |||||||
\(384\) | 3.71568 | − | 8.13621i | 0.189615 | − | 0.415199i | ||||
\(385\) | −1.20302 | − | 0.0733560i | −0.0613117 | − | 0.00373857i | ||||
\(386\) | −0.00741185 | − | 0.0515505i | −0.000377253 | − | 0.00262385i | ||||
\(387\) | −0.0848678 | − | 1.78159i | −0.00431407 | − | 0.0905635i | ||||
\(388\) | 3.83879 | − | 11.0914i | 0.194885 | − | 0.563083i | ||||
\(389\) | −20.3764 | − | 19.4288i | −1.03312 | − | 0.985080i | −0.0332257 | − | 0.999448i | \(-0.510578\pi\) |
−0.999897 | + | 0.0143676i | \(0.995426\pi\) | |||||||
\(390\) | −0.809974 | + | 1.40292i | −0.0410146 | + | 0.0710394i | ||||
\(391\) | −15.0630 | − | 33.2305i | −0.761771 | − | 1.68054i | ||||
\(392\) | 9.80238 | − | 15.9809i | 0.495095 | − | 0.807156i | ||||
\(393\) | 0.986200 | − | 0.289574i | 0.0497472 | − | 0.0146071i | ||||
\(394\) | 1.01784 | − | 0.196172i | 0.0512780 | − | 0.00988302i | ||||
\(395\) | 5.23640 | + | 2.69955i | 0.263472 | + | 0.135829i | ||||
\(396\) | 0.211394 | − | 0.166242i | 0.0106229 | − | 0.00835396i | ||||
\(397\) | −3.14419 | + | 1.62094i | −0.157802 | + | 0.0813527i | −0.535319 | − | 0.844650i | \(-0.679808\pi\) |
0.377516 | + | 0.926003i | \(0.376778\pi\) | |||||||
\(398\) | 5.98968 | − | 13.1156i | 0.300235 | − | 0.657424i | ||||
\(399\) | 1.94053 | − | 9.39426i | 0.0971481 | − | 0.470301i | ||||
\(400\) | −0.0314518 | + | 0.218752i | −0.00157259 | + | 0.0109376i | ||||
\(401\) | −9.09716 | − | 0.868673i | −0.454291 | − | 0.0433795i | −0.134597 | − | 0.990900i | \(-0.542974\pi\) |
−0.319694 | + | 0.947521i | \(0.603580\pi\) | |||||||
\(402\) | −0.507178 | − | 2.09062i | −0.0252958 | − | 0.104271i | ||||
\(403\) | −0.310552 | − | 1.28011i | −0.0154697 | − | 0.0637671i | ||||
\(404\) | 13.2639 | + | 1.26655i | 0.659904 | + | 0.0630132i | ||||
\(405\) | −0.329649 | + | 2.29276i | −0.0163804 | + | 0.113928i | ||||
\(406\) | 1.90837 | + | 1.69857i | 0.0947107 | + | 0.0842988i | ||||
\(407\) | 0.225058 | − | 0.492809i | 0.0111557 | − | 0.0244276i | ||||
\(408\) | −18.1101 | + | 9.33642i | −0.896585 | + | 0.462222i | ||||
\(409\) | −10.1085 | + | 7.94945i | −0.499835 | + | 0.393075i | −0.836001 | − | 0.548728i | \(-0.815112\pi\) |
0.336166 | + | 0.941803i | \(0.390870\pi\) | |||||||
\(410\) | 1.99015 | + | 1.02600i | 0.0982867 | + | 0.0506703i | ||||
\(411\) | 3.79419 | − | 0.731270i | 0.187154 | − | 0.0360709i | ||||
\(412\) | 25.0396 | − | 7.35229i | 1.23361 | − | 0.362221i | ||||
\(413\) | 14.7704 | + | 8.79172i | 0.726806 | + | 0.432612i | ||||
\(414\) | 1.59426 | − | 3.46512i | 0.0783536 | − | 0.170301i | ||||
\(415\) | 15.4094 | − | 26.6899i | 0.756418 | − | 1.31015i | ||||
\(416\) | 3.71498 | + | 3.54223i | 0.182142 | + | 0.173672i | ||||
\(417\) | −2.19357 | + | 6.33791i | −0.107420 | + | 0.310369i | ||||
\(418\) | −0.0269840 | − | 0.566464i | −0.00131983 | − | 0.0277067i | ||||
\(419\) | 3.50921 | + | 24.4071i | 0.171436 | + | 1.19236i | 0.875853 | + | 0.482577i | \(0.160299\pi\) |
−0.704417 | + | 0.709786i | \(0.748792\pi\) | |||||||
\(420\) | −3.74067 | − | 7.49915i | −0.182526 | − | 0.365921i | ||||
\(421\) | 15.1470 | − | 33.1672i | 0.738218 | − | 1.61647i | −0.0482463 | − | 0.998835i | \(-0.515363\pi\) |
0.786464 | − | 0.617636i | \(-0.211909\pi\) | |||||||
\(422\) | −2.42599 | − | 7.00943i | −0.118095 | − | 0.341214i | ||||
\(423\) | −1.39490 | + | 0.558434i | −0.0678223 | + | 0.0271520i | ||||
\(424\) | 16.4377 | − | 23.0835i | 0.798285 | − | 1.12103i | ||||
\(425\) | 2.01191 | − | 1.91836i | 0.0975922 | − | 0.0930540i | ||||
\(426\) | 0.661131 | + | 0.194126i | 0.0320319 | + | 0.00940542i | ||||
\(427\) | −33.4033 | + | 14.7210i | −1.61650 | + | 0.712400i | ||||
\(428\) | −1.77141 | + | 12.3204i | −0.0856243 | + | 0.595530i | ||||
\(429\) | 0.0565612 | + | 0.163423i | 0.00273080 | + | 0.00789012i | ||||
\(430\) | −3.27100 | + | 0.312342i | −0.157741 | + | 0.0150625i | ||||
\(431\) | 1.42233 | − | 29.8584i | 0.0685114 | − | 1.43823i | −0.659004 | − | 0.752139i | \(-0.729022\pi\) |
0.727516 | − | 0.686091i | \(-0.240675\pi\) | |||||||
\(432\) | 0.561482 | + | 0.224783i | 0.0270143 | + | 0.0108149i | ||||
\(433\) | 8.04312 | − | 5.16900i | 0.386528 | − | 0.248406i | −0.332917 | − | 0.942956i | \(-0.608033\pi\) |
0.719444 | + | 0.694550i | \(0.244396\pi\) | |||||||
\(434\) | −2.96485 | − | 1.07051i | −0.142317 | − | 0.0513862i | ||||
\(435\) | 2.69838 | − | 0.792316i | 0.129377 | − | 0.0379886i | ||||
\(436\) | −10.5026 | + | 18.1910i | −0.502984 | + | 0.871193i | ||||
\(437\) | 8.65164 | + | 15.0829i | 0.413864 | + | 0.721512i | ||||
\(438\) | −3.50580 | − | 6.07222i | −0.167514 | − | 0.290142i | ||||
\(439\) | −3.10760 | + | 12.8097i | −0.148318 | + | 0.611375i | 0.848323 | + | 0.529479i | \(0.177613\pi\) |
−0.996641 | + | 0.0818956i | \(0.973903\pi\) | |||||||
\(440\) | −0.798967 | − | 0.922057i | −0.0380893 | − | 0.0439573i | ||||
\(441\) | 6.13433 | + | 3.37195i | 0.292111 | + | 0.160569i | ||||
\(442\) | −0.757183 | − | 5.26632i | −0.0360155 | − | 0.250493i | ||||
\(443\) | 25.6915 | − | 13.2449i | 1.22064 | − | 0.629283i | 0.277195 | − | 0.960814i | \(-0.410595\pi\) |
0.943444 | + | 0.331531i | \(0.107565\pi\) | |||||||
\(444\) | 3.74993 | − | 0.358075i | 0.177964 | − | 0.0169935i | ||||
\(445\) | 18.1554 | + | 3.49917i | 0.860648 | + | 0.165876i | ||||
\(446\) | 3.76843 | + | 2.96353i | 0.178440 | + | 0.140327i | ||||
\(447\) | −2.14051 | − | 4.68706i | −0.101242 | − | 0.221690i | ||||
\(448\) | 8.85489 | − | 2.02385i | 0.418354 | − | 0.0956182i | ||||
\(449\) | −13.6432 | − | 4.00599i | −0.643860 | − | 0.189054i | −0.0565288 | − | 0.998401i | \(-0.518003\pi\) |
−0.587331 | + | 0.809347i | \(0.699821\pi\) | |||||||
\(450\) | 0.289306 | + | 0.0276254i | 0.0136380 | + | 0.00130227i | ||||
\(451\) | 0.221904 | − | 0.0888369i | 0.0104490 | − | 0.00418317i | ||||
\(452\) | −10.4840 | − | 2.02062i | −0.493124 | − | 0.0950418i | ||||
\(453\) | −6.14079 | − | 8.62353i | −0.288520 | − | 0.405169i | ||||
\(454\) | 9.76765 | + | 6.27729i | 0.458419 | + | 0.294608i | ||||
\(455\) | 5.34379 | − | 0.695908i | 0.250521 | − | 0.0326247i | ||||
\(456\) | 8.16889 | − | 5.24983i | 0.382543 | − | 0.245846i | ||||
\(457\) | −14.4572 | + | 2.78640i | −0.676281 | + | 0.130342i | −0.515816 | − | 0.856699i | \(-0.672511\pi\) |
−0.160464 | + | 0.987042i | \(0.551299\pi\) | |||||||
\(458\) | 12.0904 | + | 11.5282i | 0.564947 | + | 0.538676i | ||||
\(459\) | −3.80383 | − | 6.58842i | −0.177548 | − | 0.307521i | ||||
\(460\) | 14.0866 | + | 5.68542i | 0.656789 | + | 0.265084i | ||||
\(461\) | 26.4986 | 1.23416 | 0.617081 | − | 0.786900i | \(-0.288315\pi\) | ||||
0.617081 | + | 0.786900i | \(0.288315\pi\) | |||||||
\(462\) | 0.400836 | + | 0.102906i | 0.0186486 | + | 0.00478761i | ||||
\(463\) | 21.4245 | + | 24.7252i | 0.995681 | + | 1.14908i | 0.988822 | + | 0.149100i | \(0.0476377\pi\) |
0.00685847 | + | 0.999976i | \(0.497817\pi\) | |||||||
\(464\) | −0.0349396 | − | 0.733471i | −0.00162203 | − | 0.0340506i | ||||
\(465\) | −2.72753 | + | 2.14495i | −0.126486 | + | 0.0994697i | ||||
\(466\) | −0.306483 | + | 6.43387i | −0.0141975 | + | 0.298043i | ||||
\(467\) | −6.78680 | − | 9.53073i | −0.314056 | − | 0.441029i | 0.627132 | − | 0.778913i | \(-0.284228\pi\) |
−0.941188 | + | 0.337883i | \(0.890289\pi\) | |||||||
\(468\) | −0.787427 | + | 0.908740i | −0.0363988 | + | 0.0420065i | ||||
\(469\) | −4.49821 | + | 5.56596i | −0.207708 | + | 0.257012i | ||||
\(470\) | 1.14989 | + | 2.51790i | 0.0530403 | + | 0.116142i | ||||
\(471\) | 15.2647 | − | 14.5549i | 0.703362 | − | 0.670654i | ||||
\(472\) | 4.10221 | + | 16.9095i | 0.188820 | + | 0.778325i | ||||
\(473\) | −0.203470 | + | 0.285734i | −0.00935557 | + | 0.0131381i | ||||
\(474\) | −1.59005 | − | 1.25043i | −0.0730334 | − | 0.0574341i | ||||
\(475\) | −0.867592 | + | 1.00125i | −0.0398079 | + | 0.0459407i | ||||
\(476\) | 24.8824 | + | 11.7658i | 1.14048 | + | 0.539287i | ||||
\(477\) | 8.90119 | + | 5.72045i | 0.407558 | + | 0.261921i | ||||
\(478\) | −19.8214 | − | 7.93528i | −0.906609 | − | 0.362951i | ||||
\(479\) | −14.6068 | − | 7.53032i | −0.667401 | − | 0.344069i | 0.0910062 | − | 0.995850i | \(-0.470992\pi\) |
−0.758407 | + | 0.651781i | \(0.774022\pi\) | |||||||
\(480\) | 4.42248 | − | 12.7779i | 0.201858 | − | 0.583230i | ||||
\(481\) | −0.571088 | + | 2.35406i | −0.0260394 | + | 0.107336i | ||||
\(482\) | 12.3407 | 0.562101 | ||||||||
\(483\) | −12.3775 | + | 2.79237i | −0.563196 | + | 0.127057i | ||||
\(484\) | 14.9890 | 0.681319 | ||||||||
\(485\) | 4.68722 | − | 19.3210i | 0.212836 | − | 0.877320i | ||||
\(486\) | 0.260128 | − | 0.751589i | 0.0117996 | − | 0.0340928i | ||||
\(487\) | −22.4814 | − | 11.5900i | −1.01873 | − | 0.525192i | −0.133846 | − | 0.991002i | \(-0.542733\pi\) |
−0.884885 | + | 0.465810i | \(0.845763\pi\) | |||||||
\(488\) | −34.3046 | − | 13.7335i | −1.55289 | − | 0.621685i | ||||
\(489\) | 11.9241 | + | 7.66314i | 0.539226 | + | 0.346539i | ||||
\(490\) | 5.66723 | − | 11.5838i | 0.256019 | − | 0.523302i | ||||
\(491\) | −7.80303 | + | 9.00517i | −0.352146 | + | 0.406398i | −0.903993 | − | 0.427547i | \(-0.859378\pi\) |
0.551847 | + | 0.833945i | \(0.313923\pi\) | |||||||
\(492\) | 1.30641 | + | 1.02737i | 0.0588973 | + | 0.0463174i | ||||
\(493\) | −5.35774 | + | 7.52389i | −0.241300 | + | 0.338859i | ||||
\(494\) | 0.597798 | + | 2.46416i | 0.0268962 | + | 0.110868i | ||||
\(495\) | 0.329693 | − | 0.314362i | 0.0148186 | − | 0.0141295i | ||||
\(496\) | 0.376369 | + | 0.824133i | 0.0168995 | + | 0.0370046i | ||||
\(497\) | −0.823534 | − | 2.13912i | −0.0369405 | − | 0.0959526i | ||||
\(498\) | −6.92966 | + | 7.99725i | −0.310526 | + | 0.358366i | ||||
\(499\) | −0.563918 | − | 0.791912i | −0.0252444 | − | 0.0354508i | 0.801761 | − | 0.597645i | \(-0.203897\pi\) |
−0.827005 | + | 0.562194i | \(0.809957\pi\) | |||||||
\(500\) | 0.698498 | − | 14.6633i | 0.0312378 | − | 0.655762i | ||||
\(501\) | −13.0068 | + | 10.2287i | −0.581102 | + | 0.456984i | ||||
\(502\) | −0.503735 | − | 10.5747i | −0.0224828 | − | 0.471972i | ||||
\(503\) | −19.4424 | − | 22.4378i | −0.866896 | − | 1.00045i | −0.999956 | − | 0.00934324i | \(-0.997026\pi\) |
0.133060 | − | 0.991108i | \(-0.457520\pi\) | |||||||
\(504\) | 1.90574 | + | 6.82487i | 0.0848882 | + | 0.304004i | ||||
\(505\) | 22.5701 | 1.00436 | ||||||||
\(506\) | −0.667714 | + | 0.341857i | −0.0296835 | + | 0.0151974i | ||||
\(507\) | 6.11339 | + | 10.5887i | 0.271505 | + | 0.470261i | ||||
\(508\) | −18.3390 | − | 17.4862i | −0.813661 | − | 0.775824i | ||||
\(509\) | −15.3188 | + | 2.95246i | −0.678994 | + | 0.130865i | −0.517077 | − | 0.855939i | \(-0.672980\pi\) |
−0.161917 | + | 0.986804i | \(0.551768\pi\) | |||||||
\(510\) | −11.7904 | + | 7.57722i | −0.522087 | + | 0.335525i | ||||
\(511\) | −8.95619 | + | 21.5368i | −0.396199 | + | 0.952730i | ||||
\(512\) | −5.69543 | − | 3.66023i | −0.251705 | − | 0.161761i | ||||
\(513\) | 2.10309 | + | 2.95337i | 0.0928536 | + | 0.130395i | ||||
\(514\) | −8.93087 | − | 1.72128i | −0.393924 | − | 0.0759226i | ||||
\(515\) | 41.0390 | − | 16.4295i | 1.80839 | − | 0.723972i | ||||
\(516\) | −2.42795 | − | 0.231842i | −0.106885 | − | 0.0102063i | ||||
\(517\) | 0.283527 | + | 0.0832509i | 0.0124695 | + | 0.00366137i | ||||
\(518\) | 3.94403 | + | 4.24811i | 0.173291 | + | 0.186651i | ||||
\(519\) | −5.24243 | − | 11.4793i | −0.230117 | − | 0.503886i | ||||
\(520\) | 4.28799 | + | 3.37211i | 0.188041 | + | 0.147877i | ||||
\(521\) | 19.6195 | + | 3.78135i | 0.859546 | + | 0.165664i | 0.599935 | − | 0.800049i | \(-0.295193\pi\) |
0.259612 | + | 0.965713i | \(0.416405\pi\) | |||||||
\(522\) | −0.961252 | + | 0.0917885i | −0.0420729 | + | 0.00401747i | ||||
\(523\) | −0.354939 | + | 0.182984i | −0.0155204 | + | 0.00800131i | −0.465969 | − | 0.884801i | \(-0.654294\pi\) |
0.450449 | + | 0.892802i | \(0.351264\pi\) | |||||||
\(524\) | −0.200025 | − | 1.39120i | −0.00873812 | − | 0.0607750i | ||||
\(525\) | −0.511818 | − | 0.820189i | −0.0223376 | − | 0.0357960i | ||||
\(526\) | −9.12880 | − | 10.5352i | −0.398034 | − | 0.459356i | ||||
\(527\) | 2.68680 | − | 11.0751i | 0.117039 | − | 0.482440i | ||||
\(528\) | −0.0594723 | − | 0.103009i | −0.00258820 | − | 0.00448289i | ||||
\(529\) | 13.4465 | − | 18.6599i | 0.584629 | − | 0.811301i | ||||
\(530\) | 9.74633 | − | 16.8811i | 0.423354 | − | 0.733270i | ||||
\(531\) | −6.23365 | + | 1.83036i | −0.270517 | + | 0.0794311i | ||||
\(532\) | −12.3378 | − | 4.45476i | −0.534910 | − | 0.193139i | ||||
\(533\) | −0.899070 | + | 0.577797i | −0.0389430 | + | 0.0250272i | ||||
\(534\) | −5.89377 | − | 2.35951i | −0.255048 | − | 0.102106i | ||||
\(535\) | −1.00323 | + | 21.0604i | −0.0433735 | + | 0.910522i | ||||
\(536\) | −7.21145 | + | 0.688610i | −0.311487 | + | 0.0297434i | ||||
\(537\) | 0.151176 | + | 0.436796i | 0.00652374 | + | 0.0188491i | ||||
\(538\) | 2.49551 | − | 17.3567i | 0.107589 | − | 0.748300i | ||||
\(539\) | −0.538375 | − | 1.26702i | −0.0231894 | − | 0.0545746i | ||||
\(540\) | 3.03916 | + | 0.892378i | 0.130785 | + | 0.0384018i | ||||
\(541\) | 12.8310 | − | 12.2343i | 0.551646 | − | 0.525994i | −0.362175 | − | 0.932110i | \(-0.617966\pi\) |
0.913821 | + | 0.406116i | \(0.133117\pi\) | |||||||
\(542\) | −9.41086 | + | 13.2157i | −0.404231 | + | 0.567663i | ||||
\(543\) | −9.84553 | + | 3.94156i | −0.422512 | + | 0.169148i | ||||
\(544\) | 14.5250 | + | 41.9672i | 0.622754 | + | 1.79933i | ||||
\(545\) | −14.7809 | + | 32.3656i | −0.633143 | + | 1.38639i | ||||
\(546\) | −1.84690 | − | 0.112617i | −0.0790399 | − | 0.00481957i | ||||
\(547\) | 5.54058 | + | 38.5356i | 0.236898 | + | 1.64766i | 0.667128 | + | 0.744943i | \(0.267523\pi\) |
−0.430230 | + | 0.902719i | \(0.641568\pi\) | |||||||
\(548\) | −0.251415 | − | 5.27786i | −0.0107399 | − | 0.225459i | ||||
\(549\) | 4.51254 | − | 13.0381i | 0.192590 | − | 0.556453i | ||||
\(550\) | −0.0413653 | − | 0.0394417i | −0.00176382 | − | 0.00168180i | ||||
\(551\) | 2.20098 | − | 3.81222i | 0.0937651 | − | 0.162406i | ||||
\(552\) | −10.7858 | − | 6.97455i | −0.459075 | − | 0.296857i | ||||
\(553\) | −0.0895026 | + | 6.72854i | −0.00380604 | + | 0.286127i | ||||
\(554\) | −3.20337 | + | 0.940594i | −0.136098 | + | 0.0399620i | ||||
\(555\) | 6.26563 | − | 1.20760i | 0.265961 | − | 0.0512598i | ||||
\(556\) | 8.15166 | + | 4.20247i | 0.345707 | + | 0.178224i | ||||
\(557\) | −3.33718 | + | 2.62439i | −0.141401 | + | 0.111199i | −0.686354 | − | 0.727268i | \(-0.740790\pi\) |
0.544953 | + | 0.838467i | \(0.316547\pi\) | |||||||
\(558\) | 1.05897 | − | 0.545939i | 0.0448300 | − | 0.0231115i | ||||
\(559\) | 0.651530 | − | 1.42665i | 0.0275568 | − | 0.0603409i | ||||
\(560\) | −3.51848 | + | 1.16559i | −0.148683 | + | 0.0492551i | ||||
\(561\) | −0.212927 | + | 1.48094i | −0.00898978 | + | 0.0625253i | ||||
\(562\) | 22.3531 | + | 2.13446i | 0.942909 | + | 0.0900369i | ||||
\(563\) | −3.54146 | − | 14.5981i | −0.149255 | − | 0.615237i | −0.996467 | − | 0.0839824i | \(-0.973236\pi\) |
0.847212 | − | 0.531254i | \(-0.178279\pi\) | |||||||
\(564\) | 0.484397 | + | 1.99671i | 0.0203968 | + | 0.0840767i | ||||
\(565\) | −18.0038 | − | 1.71916i | −0.757427 | − | 0.0723255i | ||||
\(566\) | 3.32498 | − | 23.1257i | 0.139759 | − | 0.972047i | ||||
\(567\) | −2.51153 | + | 0.832009i | −0.105474 | + | 0.0349411i | ||||
\(568\) | 0.963893 | − | 2.11063i | 0.0404441 | − | 0.0885602i | ||||
\(569\) | −40.7738 | + | 21.0203i | −1.70933 | + | 0.881218i | −0.728825 | + | 0.684700i | \(0.759933\pi\) |
−0.980500 | + | 0.196518i | \(0.937037\pi\) | |||||||
\(570\) | 5.25036 | − | 4.12893i | 0.219913 | − | 0.172942i | ||||
\(571\) | 34.3443 | + | 17.7057i | 1.43727 | + | 0.740962i | 0.988291 | − | 0.152583i | \(-0.0487591\pi\) |
0.448974 | + | 0.893545i | \(0.351789\pi\) | |||||||
\(572\) | 0.232205 | − | 0.0447538i | 0.00970896 | − | 0.00187125i | ||||
\(573\) | −5.39003 | + | 1.58266i | −0.225172 | + | 0.0661164i | ||||
\(574\) | −0.0340165 | + | 2.55726i | −0.00141982 | + | 0.106738i | ||||
\(575\) | 1.68006 | + | 0.498446i | 0.0700634 | + | 0.0207867i | ||||
\(576\) | −1.71657 | + | 2.97318i | −0.0715237 | + | 0.123883i | ||||
\(577\) | −25.8326 | − | 24.6313i | −1.07542 | − | 1.02542i | −0.999600 | − | 0.0282942i | \(-0.990992\pi\) |
−0.0758250 | − | 0.997121i | \(-0.524159\pi\) | |||||||
\(578\) | 10.6331 | − | 30.7223i | 0.442278 | − | 1.27788i | ||||
\(579\) | −0.00311580 | − | 0.0654087i | −0.000129488 | − | 0.00271829i | ||||
\(580\) | −0.547296 | − | 3.80652i | −0.0227252 | − | 0.158057i | ||||
\(581\) | 35.1364 | + | 2.14249i | 1.45770 | + | 0.0888857i | ||||
\(582\) | −2.83580 | + | 6.20954i | −0.117548 | + | 0.257394i | ||||
\(583\) | −0.680595 | − | 1.96645i | −0.0281874 | − | 0.0814420i | ||||
\(584\) | −21.9199 | + | 8.77539i | −0.907051 | + | 0.363128i | ||||
\(585\) | −1.18147 | + | 1.65914i | −0.0488478 | + | 0.0685972i | ||||
\(586\) | 0.819732 | − | 0.781613i | 0.0338628 | − | 0.0322881i | ||||
\(587\) | −18.7670 | − | 5.51048i | −0.774596 | − | 0.227442i | −0.129537 | − | 0.991575i | \(-0.541349\pi\) |
−0.645059 | + | 0.764133i | \(0.723167\pi\) | |||||||
\(588\) | 5.75781 | − | 7.64678i | 0.237448 | − | 0.315348i | ||||
\(589\) | −0.772953 | + | 5.37600i | −0.0318490 | + | 0.221514i | ||||
\(590\) | 3.91461 | + | 11.3105i | 0.161162 | + | 0.465647i | ||||
\(591\) | 1.29742 | − | 0.123888i | 0.0533686 | − | 0.00509609i | ||||
\(592\) | 0.0792759 | − | 1.66421i | 0.00325822 | − | 0.0683984i | ||||
\(593\) | −44.7119 | − | 17.8999i | −1.83610 | − | 0.735063i | −0.973309 | − | 0.229499i | \(-0.926291\pi\) |
−0.862789 | − | 0.505564i | \(-0.831285\pi\) | |||||||
\(594\) | −0.131584 | + | 0.0845642i | −0.00539898 | + | 0.00346971i | ||||
\(595\) | 43.8522 | + | 15.8336i | 1.79776 | + | 0.649114i | ||||
\(596\) | −6.76062 | + | 1.98510i | −0.276926 | + | 0.0813128i | ||||
\(597\) | 9.06448 | − | 15.7001i | 0.370984 | − | 0.642564i | ||||
\(598\) | 2.64224 | − | 2.06588i | 0.108049 | − | 0.0844803i | ||||
\(599\) | −13.0637 | − | 22.6270i | −0.533769 | − | 0.924514i | −0.999222 | − | 0.0394418i | \(-0.987442\pi\) |
0.465453 | − | 0.885072i | \(-0.345891\pi\) | |||||||
\(600\) | 0.230726 | − | 0.951067i | 0.00941936 | − | 0.0388271i | ||||
\(601\) | −14.7340 | − | 17.0039i | −0.601011 | − | 0.693603i | 0.370975 | − | 0.928643i | \(-0.379024\pi\) |
−0.971986 | + | 0.235039i | \(0.924478\pi\) | |||||||
\(602\) | −1.98694 | − | 3.18408i | −0.0809818 | − | 0.129773i | ||||
\(603\) | −0.384941 | − | 2.67732i | −0.0156760 | − | 0.109029i | ||||
\(604\) | −12.8672 | + | 6.63353i | −0.523561 | + | 0.269914i | ||||
\(605\) | 25.2751 | − | 2.41348i | 1.02758 | − | 0.0981220i | ||||
\(606\) | −7.60958 | − | 1.46663i | −0.309118 | − | 0.0595776i | ||||
\(607\) | 28.9932 | + | 22.8005i | 1.17680 | + | 0.925444i | 0.998288 | − | 0.0584942i | \(-0.0186299\pi\) |
0.178510 | + | 0.983938i | \(0.442872\pi\) | |||||||
\(608\) | −8.79217 | − | 19.2522i | −0.356569 | − | 0.780778i | ||||
\(609\) | 2.18559 | + | 2.35409i | 0.0885644 | + | 0.0953926i | ||||
\(610\) | −24.3879 | − | 7.16093i | −0.987437 | − | 0.289938i | ||||
\(611\) | −1.31523 | − | 0.125590i | −0.0532086 | − | 0.00508081i | ||||
\(612\) | −9.65788 | + | 3.86643i | −0.390396 | + | 0.156291i | ||||
\(613\) | 27.4724 | + | 5.29488i | 1.10960 | + | 0.213858i | 0.710948 | − | 0.703244i | \(-0.248266\pi\) |
0.398652 | + | 0.917102i | \(0.369478\pi\) | |||||||
\(614\) | −9.66281 | − | 13.5695i | −0.389959 | − | 0.547621i | ||||
\(615\) | 2.36834 | + | 1.52204i | 0.0955007 | + | 0.0613745i | ||||
\(616\) | 0.535098 | − | 1.28674i | 0.0215597 | − | 0.0518442i | ||||
\(617\) | −38.7726 | + | 24.9177i | −1.56093 | + | 1.00315i | −0.578680 | + | 0.815554i | \(0.696432\pi\) |
−0.982247 | + | 0.187593i | \(0.939932\pi\) | |||||||
\(618\) | −14.9040 | + | 2.87252i | −0.599528 | + | 0.115550i | ||||
\(619\) | 18.5609 | + | 17.6978i | 0.746028 | + | 0.711336i | 0.964376 | − | 0.264535i | \(-0.0852185\pi\) |
−0.218349 | + | 0.975871i | \(0.570067\pi\) | |||||||
\(620\) | 2.37245 | + | 4.10921i | 0.0952800 | + | 0.165030i | ||||
\(621\) | 2.40959 | − | 4.14655i | 0.0966934 | − | 0.166395i | ||||
\(622\) | −14.3978 | −0.577299 | ||||||||
\(623\) | 5.67986 | + | 20.3409i | 0.227559 | + | 0.814940i | ||||
\(624\) | 0.348270 | + | 0.401925i | 0.0139419 | + | 0.0160899i | ||||
\(625\) | −1.27013 | − | 26.6633i | −0.0508052 | − | 1.06653i | ||||
\(626\) | −5.91631 | + | 4.65264i | −0.236463 | + | 0.185957i | ||||
\(627\) | 0.0339280 | − | 0.712236i | 0.00135495 | − | 0.0284440i | ||||
\(628\) | −16.7298 | − | 23.4937i | −0.667592 | − | 0.937502i | ||||
\(629\) | −13.7241 | + | 15.8384i | −0.547215 | + | 0.631520i | ||||
\(630\) | 1.75119 | + | 4.54870i | 0.0697692 | + | 0.181225i | ||||
\(631\) | 7.01531 | + | 15.3614i | 0.279275 | + | 0.611527i | 0.996340 | − | 0.0854794i | \(-0.0272422\pi\) |
−0.717065 | + | 0.697006i | \(0.754515\pi\) | |||||||
\(632\) | −4.92991 | + | 4.70066i | −0.196101 | + | 0.186982i | ||||
\(633\) | −2.19872 | − | 9.06325i | −0.0873913 | − | 0.360232i | ||||
\(634\) | 1.43137 | − | 2.01008i | 0.0568471 | − | 0.0798305i | ||||
\(635\) | −33.7395 | − | 26.5331i | −1.33891 | − | 1.05293i | ||||
\(636\) | 9.47503 | − | 10.9348i | 0.375710 | − | 0.433592i | ||||
\(637\) | 3.43579 | + | 5.10715i | 0.136131 | + | 0.202353i | ||||
\(638\) | 0.159759 | + | 0.102671i | 0.00632491 | + | 0.00406477i | ||||
\(639\) | 0.804299 | + | 0.321993i | 0.0318176 | + | 0.0127378i | ||||
\(640\) | −18.4153 | − | 9.49376i | −0.727930 | − | 0.375274i | ||||
\(641\) | 8.12354 | − | 23.4714i | 0.320860 | − | 0.927065i | −0.663077 | − | 0.748551i | \(-0.730750\pi\) |
0.983937 | − | 0.178514i | \(-0.0571290\pi\) | |||||||
\(642\) | 1.70677 | − | 7.03540i | 0.0673608 | − | 0.277665i | ||||
\(643\) | 22.5143 | 0.887878 | 0.443939 | − | 0.896057i | \(-0.353581\pi\) | ||||
0.443939 | + | 0.896057i | \(0.353581\pi\) | |||||||
\(644\) | 1.37080 | + | 17.2967i | 0.0540169 | + | 0.681586i | ||||
\(645\) | −4.13145 | −0.162676 | ||||||||
\(646\) | −5.17195 | + | 21.3191i | −0.203488 | + | 0.838788i | ||||
\(647\) | −10.1125 | + | 29.2183i | −0.397565 | + | 1.14869i | 0.551654 | + | 0.834073i | \(0.313997\pi\) |
−0.949219 | + | 0.314616i | \(0.898124\pi\) | |||||||
\(648\) | −2.38051 | − | 1.22724i | −0.0935154 | − | 0.0482105i | ||||
\(649\) | 1.18618 | + | 0.474874i | 0.0465616 | + | 0.0186404i | ||||
\(650\) | 0.214984 | + | 0.138162i | 0.00843236 | + | 0.00541915i | ||||
\(651\) | −3.58299 | − | 1.69425i | −0.140429 | − | 0.0664029i | ||||
\(652\) | 12.6928 | − | 14.6483i | 0.497089 | − | 0.573671i | ||||
\(653\) | 26.0026 | + | 20.4487i | 1.01756 | + | 0.800218i | 0.979984 | − | 0.199076i | \(-0.0637940\pi\) |
0.0375758 | + | 0.999294i | \(0.488036\pi\) | |||||||
\(654\) | 7.08656 | − | 9.95169i | 0.277107 | − | 0.389142i | ||||
\(655\) | −0.561297 | − | 2.31370i | −0.0219317 | − | 0.0904037i | ||||
\(656\) | 0.531998 | − | 0.507259i | 0.0207710 | − | 0.0198051i | ||||
\(657\) | −3.66227 | − | 8.01926i | −0.142879 | − | 0.312861i | ||||
\(658\) | −1.98731 | + | 2.45905i | −0.0774736 | + | 0.0958636i | ||||
\(659\) | −17.3228 | + | 19.9916i | −0.674801 | + | 0.778761i | −0.985119 | − | 0.171871i | \(-0.945019\pi\) |
0.310319 | + | 0.950633i | \(0.399564\pi\) | |||||||
\(660\) | −0.361336 | − | 0.507426i | −0.0140650 | − | 0.0197515i | ||||
\(661\) | −0.768552 | + | 16.1339i | −0.0298932 | + | 0.627536i | 0.933360 | + | 0.358941i | \(0.116862\pi\) |
−0.963253 | + | 0.268595i | \(0.913441\pi\) | |||||||
\(662\) | −20.5490 | + | 16.1599i | −0.798658 | + | 0.628071i | ||||
\(663\) | −0.318305 | − | 6.68205i | −0.0123620 | − | 0.259509i | ||||
\(664\) | 23.3353 | + | 26.9303i | 0.905584 | + | 1.04510i | ||||
\(665\) | −21.5217 | − | 5.52523i | −0.834577 | − | 0.214259i | ||||
\(666\) | −2.19095 | −0.0848975 | ||||||||
\(667\) | −5.79475 | − | 0.569780i | −0.224373 | − | 0.0220620i | ||||
\(668\) | 11.3136 | + | 19.5957i | 0.437735 | + | 0.758180i | ||||
\(669\) | 4.36254 | + | 4.15967i | 0.168666 | + | 0.160822i | ||||
\(670\) | −4.89299 | + | 0.943046i | −0.189033 | + | 0.0364330i | ||||
\(671\) | −2.28265 | + | 1.46697i | −0.0881206 | + | 0.0566317i | ||||
\(672\) | 15.3152 | − | 1.99446i | 0.590798 | − | 0.0769381i | ||||
\(673\) | −8.52921 | − | 5.48139i | −0.328777 | − | 0.211292i | 0.365830 | − | 0.930682i | \(-0.380785\pi\) |
−0.694607 | + | 0.719390i | \(0.744422\pi\) | |||||||
\(674\) | 0.471438 | + | 0.662042i | 0.0181591 | + | 0.0255009i | ||||
\(675\) | 0.358806 | + | 0.0691542i | 0.0138104 | + | 0.00266175i | ||||
\(676\) | 15.5218 | − | 6.21400i | 0.596993 | − | 0.239000i | ||||
\(677\) | −32.2784 | − | 3.08221i | −1.24056 | − | 0.118459i | −0.545932 | − | 0.837829i | \(-0.683824\pi\) |
−0.694627 | + | 0.719370i | \(0.744430\pi\) | |||||||
\(678\) | 5.95833 | + | 1.74952i | 0.228828 | + | 0.0671901i | ||||
\(679\) | 22.1379 | − | 5.05980i | 0.849576 | − | 0.194177i | ||||
\(680\) | 19.6058 | + | 42.9306i | 0.751847 | + | 1.64631i | ||||
\(681\) | 11.4754 | + | 9.02433i | 0.439737 | + | 0.345813i | ||||
\(682\) | −0.230077 | − | 0.0443437i | −0.00881011 | − | 0.00169801i | ||||
\(683\) | −9.56875 | + | 0.913705i | −0.366138 | + | 0.0349620i | −0.276504 | − | 0.961013i | \(-0.589176\pi\) |
−0.0896343 | + | 0.995975i | \(0.528570\pi\) | |||||||
\(684\) | 4.40675 | − | 2.27184i | 0.168496 | − | 0.0868660i | ||||
\(685\) | −1.27377 | − | 8.85926i | −0.0486682 | − | 0.338495i | ||||
\(686\) | 14.7293 | − | 0.113366i | 0.562368 | − | 0.00432832i | ||||
\(687\) | 13.7551 | + | 15.8742i | 0.524788 | + | 0.605638i | ||||
\(688\) | −0.254322 | + | 1.04833i | −0.00969595 | + | 0.0399673i | ||||
\(689\) | 4.65203 | + | 8.05755i | 0.177228 | + | 0.306968i | ||||
\(690\) | −7.84158 | − | 4.07057i | −0.298524 | − | 0.154964i | ||||
\(691\) | −10.3723 | + | 17.9653i | −0.394580 | + | 0.683433i | −0.993048 | − | 0.117714i | \(-0.962443\pi\) |
0.598467 | + | 0.801147i | \(0.295777\pi\) | |||||||
\(692\) | −16.5578 | + | 4.86181i | −0.629433 | + | 0.184818i | ||||
\(693\) | 0.489405 | + | 0.176708i | 0.0185909 | + | 0.00671259i | ||||
\(694\) | −4.01114 | + | 2.57781i | −0.152261 | + | 0.0978522i | ||||
\(695\) | 14.4223 | + | 5.77383i | 0.547070 | + | 0.219014i | ||||
\(696\) | −0.154722 | + | 3.24801i | −0.00586471 | + | 0.123115i | ||||
\(697\) | −9.20440 | + | 0.878914i | −0.348642 | + | 0.0332912i | ||||
\(698\) | 1.26315 | + | 3.64963i | 0.0478109 | + | 0.138140i | ||||
\(699\) | −1.15257 | + | 8.01628i | −0.0435941 | + | 0.303203i | ||||
\(700\) | −1.20975 | + | 0.533145i | −0.0457244 | + | 0.0201510i | ||||
\(701\) | 17.4067 | + | 5.11108i | 0.657443 | + | 0.193043i | 0.593404 | − | 0.804905i | \(-0.297784\pi\) |
0.0640390 | + | 0.997947i | \(0.479602\pi\) | |||||||
\(702\) | 0.506149 | − | 0.482612i | 0.0191034 | − | 0.0182150i | ||||
\(703\) | 5.79350 | − | 8.13584i | 0.218506 | − | 0.306849i | ||||
\(704\) | 0.626817 | − | 0.250940i | 0.0236240 | − | 0.00945764i | ||||
\(705\) | 1.13831 | + | 3.28894i | 0.0428714 | + | 0.123869i | ||||
\(706\) | −5.49163 | + | 12.0250i | −0.206680 | + | 0.452566i | ||||
\(707\) | 11.5072 | + | 23.0692i | 0.432773 | + | 0.867606i | ||||
\(708\) | 1.26433 | + | 8.79363i | 0.0475165 | + | 0.330485i | ||||
\(709\) | 1.51539 | + | 31.8120i | 0.0569117 | + | 1.19472i | 0.829015 | + | 0.559227i | \(0.188902\pi\) |
−0.772103 | + | 0.635497i | \(0.780795\pi\) | |||||||
\(710\) | 0.522018 | − | 1.50827i | 0.0195910 | − | 0.0566044i | ||||
\(711\) | −1.84073 | − | 1.75513i | −0.0690327 | − | 0.0658225i | ||||
\(712\) | −10.6892 | + | 18.5142i | −0.400593 | + | 0.693848i | ||||
\(713\) | 6.89888 | − | 2.00464i | 0.258365 | − | 0.0750742i | ||||
\(714\) | −13.7560 | − | 8.18790i | −0.514806 | − | 0.306424i | ||||
\(715\) | 0.384347 | − | 0.112854i | 0.0143738 | − | 0.00422052i | ||||
\(716\) | 0.620635 | − | 0.119618i | 0.0231942 | − | 0.00447032i | ||||
\(717\) | −23.8609 | − | 12.3011i | −0.891101 | − | 0.459395i | ||||
\(718\) | 12.6705 | − | 9.96417i | 0.472858 | − | 0.371859i | ||||
\(719\) | −17.0359 | + | 8.78259i | −0.635330 | + | 0.327535i | −0.745627 | − | 0.666363i | \(-0.767850\pi\) |
0.110297 | + | 0.993899i | \(0.464820\pi\) | |||||||
\(720\) | 0.581968 | − | 1.27433i | 0.0216887 | − | 0.0474916i | ||||
\(721\) | 37.7163 | + | 33.5700i | 1.40463 | + | 1.25021i | ||||
\(722\) | −0.662667 | + | 4.60895i | −0.0246619 | + | 0.171527i | ||||
\(723\) | 15.4461 | + | 1.47492i | 0.574446 | + | 0.0548530i | ||||
\(724\) | 3.41899 | + | 14.0933i | 0.127066 | + | 0.523772i | ||||
\(725\) | −0.104594 | − | 0.431143i | −0.00388453 | − | 0.0160123i | ||||
\(726\) | −8.67842 | − | 0.828688i | −0.322086 | − | 0.0307555i | ||||
\(727\) | 5.04150 | − | 35.0644i | 0.186979 | − | 1.30047i | −0.652797 | − | 0.757533i | \(-0.726405\pi\) |
0.839776 | − | 0.542933i | \(-0.182686\pi\) | |||||||
\(728\) | −1.26047 | + | 6.10205i | −0.0467163 | + | 0.226157i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | −14.4358 | + | 7.44215i | −0.534292 | + | 0.275446i | ||||
\(731\) | 10.6661 | − | 8.38788i | 0.394498 | − | 0.310237i | ||||
\(732\) | −16.7693 | − | 8.64517i | −0.619811 | − | 0.319535i | ||||
\(733\) | −1.32440 | + | 0.255257i | −0.0489178 | + | 0.00942813i | −0.213651 | − | 0.976910i | \(-0.568536\pi\) |
0.164734 | + | 0.986338i | \(0.447324\pi\) | |||||||
\(734\) | 15.4824 | − | 4.54603i | 0.571465 | − | 0.167797i | ||||
\(735\) | 8.47781 | − | 13.8214i | 0.312709 | − | 0.509811i | ||||
\(736\) | −18.3927 | + | 21.1061i | −0.677963 | + | 0.777980i | ||||
\(737\) | −0.265977 | + | 0.460685i | −0.00979737 | + | 0.0169695i | ||||
\(738\) | −0.699589 | − | 0.667057i | −0.0257522 | − | 0.0245547i | ||||
\(739\) | −10.6388 | + | 30.7387i | −0.391353 | + | 1.13074i | 0.561544 | + | 0.827447i | \(0.310208\pi\) |
−0.952897 | + | 0.303294i | \(0.901914\pi\) | |||||||
\(740\) | −0.415181 | − | 8.71572i | −0.0152624 | − | 0.320396i | ||||
\(741\) | 0.453720 | + | 3.15569i | 0.0166678 | + | 0.115927i | ||||
\(742\) | 22.2235 | + | 1.35511i | 0.815851 | + | 0.0497477i | ||||
\(743\) | 9.06072 | − | 19.8402i | 0.332406 | − | 0.727867i | −0.667454 | − | 0.744651i | \(-0.732616\pi\) |
0.999859 | + | 0.0167847i | \(0.00534299\pi\) | |||||||
\(744\) | −1.31221 | − | 3.79138i | −0.0481079 | − | 0.138999i | ||||
\(745\) | −11.0804 | + | 4.43593i | −0.405955 | + | 0.162520i | ||||
\(746\) | 14.2233 | − | 19.9738i | 0.520751 | − | 0.731292i | ||||
\(747\) | −9.62927 | + | 9.18149i | −0.352317 | + | 0.335933i | ||||
\(748\) | 1.96306 | + | 0.576405i | 0.0717764 | + | 0.0210755i | ||||
\(749\) | −22.0376 | + | 9.71210i | −0.805237 | + | 0.354873i | ||||
\(750\) | −1.21510 | + | 8.45120i | −0.0443691 | + | 0.308594i | ||||
\(751\) | 9.38197 | + | 27.1074i | 0.342353 | + | 0.989164i | 0.976419 | + | 0.215885i | \(0.0692636\pi\) |
−0.634066 | + | 0.773279i | \(0.718615\pi\) | |||||||
\(752\) | 0.904622 | − | 0.0863810i | 0.0329882 | − | 0.00314999i | ||||
\(753\) | 0.633364 | − | 13.2960i | 0.0230811 | − | 0.484532i | ||||
\(754\) | −0.788278 | − | 0.315579i | −0.0287074 | − | 0.0114927i | ||||
\(755\) | −20.6292 | + | 13.2576i | −0.750773 | + | 0.482492i | ||||
\(756\) | 0.637385 | + | 3.56134i | 0.0231815 | + | 0.129525i | ||||
\(757\) | 29.7137 | − | 8.72473i | 1.07996 | − | 0.317106i | 0.307099 | − | 0.951678i | \(-0.400642\pi\) |
0.772864 | + | 0.634572i | \(0.218823\pi\) | |||||||
\(758\) | 12.7981 | − | 22.1669i | 0.464847 | − | 0.805139i | ||||
\(759\) | −0.876598 | + | 0.348080i | −0.0318185 | + | 0.0126345i | ||||
\(760\) | −11.2462 | − | 19.4791i | −0.407944 | − | 0.706580i | ||||
\(761\) | 6.37126 | − | 26.2627i | 0.230958 | − | 0.952021i | −0.731770 | − | 0.681551i | \(-0.761306\pi\) |
0.962728 | − | 0.270470i | \(-0.0871792\pi\) | |||||||
\(762\) | 9.65124 | + | 11.1381i | 0.349628 | + | 0.403492i | ||||
\(763\) | −40.6172 | + | 1.39367i | −1.47044 | + | 0.0504541i | ||||
\(764\) | 1.09323 | + | 7.60356i | 0.0395516 | + | 0.275087i | ||||
\(765\) | −15.6630 | + | 8.07482i | −0.566295 | + | 0.291946i | ||||
\(766\) | −25.1892 | + | 2.40528i | −0.910123 | + | 0.0869062i | ||||
\(767\) | −5.60960 | − | 1.08116i | −0.202551 | − | 0.0390385i | ||||
\(768\) | 10.9891 | + | 8.64194i | 0.396536 | + | 0.311839i | ||||
\(769\) | −5.89285 | − | 12.9036i | −0.212502 | − | 0.465314i | 0.773125 | − | 0.634254i | \(-0.218693\pi\) |
−0.985626 | + | 0.168940i | \(0.945965\pi\) | |||||||
\(770\) | 0.282273 | − | 0.916077i | 0.0101724 | − | 0.0330131i | ||||
\(771\) | −10.9725 | − | 3.22183i | −0.395166 | − | 0.116031i | ||||
\(772\) | −0.0891389 | − | 0.00851173i | −0.00320818 | − | 0.000306344i | ||||
\(773\) | −1.54297 | + | 0.617711i | −0.0554967 | + | 0.0222175i | −0.399245 | − | 0.916844i | \(-0.630728\pi\) |
0.343748 | + | 0.939062i | \(0.388303\pi\) | |||||||
\(774\) | 1.39293 | + | 0.268465i | 0.0500679 | + | 0.00964979i | ||||
\(775\) | 0.317516 | + | 0.445889i | 0.0114055 | + | 0.0160168i | ||||
\(776\) | 19.3384 | + | 12.4281i | 0.694210 | + | 0.446142i | ||||
\(777\) | 4.42879 | + | 5.78849i | 0.158882 | + | 0.207661i | ||||
\(778\) | 18.8375 | − | 12.1061i | 0.675357 | − | 0.434025i | ||||
\(779\) | 4.32696 | − | 0.833952i | 0.155029 | − | 0.0298794i | ||||
\(780\) | 2.01577 | + | 1.92204i | 0.0721763 | + | 0.0688200i | ||||
\(781\) | −0.0851916 | − | 0.147556i | −0.00304840 | − | 0.00527998i | ||||
\(782\) | 28.5087 | − | 5.41149i | 1.01947 | − | 0.193515i | ||||
\(783\) | −1.21412 | −0.0433889 | ||||||||
\(784\) | −2.98523 | − | 3.00201i | −0.106615 | − | 0.107215i | ||||
\(785\) | −31.9934 | − | 36.9224i | −1.14189 | − | 1.31782i | ||||
\(786\) | 0.0388968 | + | 0.816544i | 0.00138740 | + | 0.0291252i | ||||
\(787\) | −15.9211 | + | 12.5205i | −0.567528 | + | 0.446309i | −0.860238 | − | 0.509892i | \(-0.829685\pi\) |
0.292711 | + | 0.956201i | \(0.405443\pi\) | |||||||
\(788\) | 0.0848014 | − | 1.78020i | 0.00302093 | − | 0.0634170i | ||||
\(789\) | −10.1669 | − | 14.2774i | −0.361950 | − | 0.508287i | ||||
\(790\) | −3.06838 | + | 3.54110i | −0.109168 | + | 0.125987i | ||||
\(791\) | −7.42196 | − | 19.2784i | −0.263894 | − | 0.685462i | ||||
\(792\) | 0.218807 | + | 0.479120i | 0.00777496 | + | 0.0170248i | ||||
\(793\) | 8.78037 | − | 8.37206i | 0.311800 | − | 0.297301i | ||||
\(794\) | −0.663290 | − | 2.73412i | −0.0235393 | − | 0.0970302i | ||||
\(795\) | 14.2165 | − | 19.9643i | 0.504208 | − | 0.708061i | ||||
\(796\) | −19.4866 | − | 15.3244i | −0.690683 | − | 0.543159i | ||||
\(797\) | −28.5683 | + | 32.9696i | −1.01194 | + | 1.16784i | −0.0261869 | + | 0.999657i | \(0.508336\pi\) |
−0.985755 | + | 0.168186i | \(0.946209\pi\) | |||||||
\(798\) | 6.89708 | + | 3.26135i | 0.244154 | + | 0.115451i | ||||
\(799\) | −9.61614 | − | 6.17992i | −0.340194 | − | 0.218630i | ||||
\(800\) | −1.98028 | − | 0.792784i | −0.0700135 | − | 0.0280292i | ||||
\(801\) | −7.09489 | − | 3.65767i | −0.250686 | − | 0.129237i | ||||
\(802\) | 2.37719 | − | 6.86843i | 0.0839414 | − | 0.242533i | ||||
\(803\) | −0.408758 | + | 1.68492i | −0.0144247 | + | 0.0594596i | ||||
\(804\) | −3.69875 | −0.130445 | ||||||||
\(805\) | 5.09655 | + | 28.9457i | 0.179630 | + | 1.02020i | ||||
\(806\) | 1.04765 | 0.0369018 | ||||||||
\(807\) | 5.19792 | − | 21.4261i | 0.182975 | − | 0.754235i | ||||
\(808\) | −8.53531 | + | 24.6612i | −0.300271 | + | 0.867577i | ||||
\(809\) | −6.69358 | − | 3.45078i | −0.235334 | − | 0.121323i | 0.336527 | − | 0.941674i | \(-0.390748\pi\) |
−0.571860 | + | 0.820351i | \(0.693778\pi\) | |||||||
\(810\) | −1.71029 | − | 0.684697i | −0.0600935 | − | 0.0240578i | ||||
\(811\) | 10.9131 | + | 7.01340i | 0.383209 | + | 0.246274i | 0.718036 | − | 0.696006i | \(-0.245041\pi\) |
−0.334827 | + | 0.942280i | \(0.608678\pi\) | |||||||
\(812\) | 3.61166 | − | 2.50013i | 0.126744 | − | 0.0877373i | ||||
\(813\) | −13.3585 | + | 15.4166i | −0.468505 | + | 0.540683i | ||||
\(814\) | 0.338698 | + | 0.266355i | 0.0118714 | + | 0.00933575i | ||||
\(815\) | 19.0445 | − | 26.7443i | 0.667101 | − | 0.936812i | ||||
\(816\) | 1.08476 | + | 4.47145i | 0.0379743 | + | 0.156532i | ||||
\(817\) | −4.68023 | + | 4.46259i | −0.163740 | + | 0.156126i | ||||
\(818\) | −4.24881 | − | 9.30360i | −0.148556 | − | 0.325293i | ||||
\(819\) | −2.29820 | − | 0.361693i | −0.0803055 | − | 0.0126386i | ||||
\(820\) | 2.52102 | − | 2.90941i | 0.0880379 | − | 0.101601i | ||||
\(821\) | 16.8135 | + | 23.6112i | 0.586795 | + | 0.824038i | 0.996088 | − | 0.0883650i | \(-0.0281642\pi\) |
−0.409294 | + | 0.912403i | \(0.634225\pi\) | |||||||
\(822\) | −0.146228 | + | 3.06970i | −0.00510028 | + | 0.107068i | ||||
\(823\) | 40.9236 | − | 32.1827i | 1.42651 | − | 1.12182i | 0.453442 | − | 0.891286i | \(-0.350196\pi\) |
0.973065 | − | 0.230531i | \(-0.0740464\pi\) | |||||||
\(824\) | 2.43202 | + | 51.0543i | 0.0847233 | + | 1.77856i | ||||
\(825\) | −0.0470606 | − | 0.0543109i | −0.00163844 | − | 0.00189086i | ||||
\(826\) | −9.56479 | + | 9.76776i | −0.332802 | + | 0.339864i | ||||
\(827\) | 22.8288 | 0.793835 | 0.396917 | − | 0.917854i | \(-0.370080\pi\) | ||||
0.396917 | + | 0.917854i | \(0.370080\pi\) | |||||||
\(828\) | −5.14355 | − | 4.06840i | −0.178751 | − | 0.141387i | ||||
\(829\) | −3.92268 | − | 6.79429i | −0.136240 | − | 0.235975i | 0.789830 | − | 0.613326i | \(-0.210169\pi\) |
−0.926071 | + | 0.377350i | \(0.876835\pi\) | |||||||
\(830\) | 17.7396 | + | 16.9147i | 0.615750 | + | 0.587116i | ||||
\(831\) | −4.12189 | + | 0.794429i | −0.142987 | + | 0.0275585i | ||||
\(832\) | −2.53962 | + | 1.63212i | −0.0880456 | + | 0.0565835i | ||||
\(833\) | 6.17401 | + | 52.8945i | 0.213917 | + | 1.83269i | ||||
\(834\) | −4.48734 | − | 2.88384i | −0.155384 | − | 0.0998592i | ||||
\(835\) | 22.2327 | + | 31.2214i | 0.769393 | + | 1.08046i | ||||
\(836\) | −0.957429 | − | 0.184529i | −0.0331134 | − | 0.00638208i | ||||
\(837\) | 1.39071 | − | 0.556755i | 0.0480699 | − | 0.0192443i | ||||
\(838\) | −19.5225 | − | 1.86418i | −0.674395 | − | 0.0643969i | ||||
\(839\) | −22.1742 | − | 6.51094i | −0.765539 | − | 0.224783i | −0.124426 | − | 0.992229i | \(-0.539709\pi\) |
−0.641113 | + | 0.767446i | \(0.721527\pi\) | |||||||
\(840\) | 16.0008 | − | 3.65712i | 0.552081 | − | 0.126182i | ||||
\(841\) | −11.4347 | − | 25.0385i | −0.394299 | − | 0.863395i | ||||
\(842\) | 22.7952 | + | 17.9264i | 0.785575 | + | 0.617783i | ||||
\(843\) | 27.7230 | + | 5.34317i | 0.954831 | + | 0.184029i | ||||
\(844\) | −12.6953 | + | 1.21225i | −0.436989 | + | 0.0417274i | ||||
\(845\) | 25.1730 | − | 12.9776i | 0.865977 | − | 0.446442i | ||||
\(846\) | −0.170068 | − | 1.18285i | −0.00584704 | − | 0.0406671i | ||||
\(847\) | 15.3532 | + | 24.6035i | 0.527542 | + | 0.845387i | ||||
\(848\) | −4.19069 | − | 4.83632i | −0.143909 | − | 0.166080i | ||||
\(849\) | 6.92561 | − | 28.5478i | 0.237686 | − | 0.979757i | ||||
\(850\) | 1.10548 | + | 1.91474i | 0.0379175 | + | 0.0656750i | ||||
\(851\) | −12.9655 | − | 2.53674i | −0.444453 | − | 0.0869582i | ||||
\(852\) | 0.592350 | − | 1.02598i | 0.0202936 | − | 0.0351495i | ||||
\(853\) | −10.3707 | + | 3.04510i | −0.355085 | + | 0.104262i | −0.454410 | − | 0.890793i | \(-0.650150\pi\) |
0.0993249 | + | 0.995055i | \(0.468332\pi\) | |||||||
\(854\) | −5.11472 | − | 28.5781i | −0.175022 | − | 0.977923i | ||||
\(855\) | 7.06505 | − | 4.54043i | 0.241620 | − | 0.155280i | ||||
\(856\) | −22.6322 | − | 9.06058i | −0.773554 | − | 0.309684i | ||||
\(857\) | 2.26266 | − | 47.4991i | 0.0772911 | − | 1.62254i | −0.544087 | − | 0.839029i | \(-0.683124\pi\) |
0.621378 | − | 0.783511i | \(-0.286573\pi\) | |||||||
\(858\) | −0.136917 | + | 0.0130740i | −0.00467427 | + | 0.000446339i | ||||
\(859\) | −6.23394 | − | 18.0118i | −0.212699 | − | 0.614555i | 0.787299 | − | 0.616572i | \(-0.211479\pi\) |
−0.999998 | + | 0.00201741i | \(0.999358\pi\) | |||||||
\(860\) | −0.804013 | + | 5.59203i | −0.0274166 | + | 0.190687i | ||||
\(861\) | −0.348213 | + | 3.19671i | −0.0118671 | + | 0.108944i | ||||
\(862\) | 22.8113 | + | 6.69799i | 0.776955 | + | 0.228135i | ||||
\(863\) | −5.51999 | + | 5.26330i | −0.187903 | + | 0.179165i | −0.778191 | − | 0.628028i | \(-0.783862\pi\) |
0.590288 | + | 0.807192i | \(0.299014\pi\) | |||||||
\(864\) | −3.38608 | + | 4.75509i | −0.115197 | + | 0.161771i | ||||
\(865\) | −27.1376 | + | 10.8643i | −0.922707 | + | 0.369396i | ||||
\(866\) | 2.48705 | + | 7.18585i | 0.0845133 | + | 0.244185i | ||||
\(867\) | 16.9807 | − | 37.1825i | 0.576695 | − | 1.26279i | ||||
\(868\) | −2.99050 | + | 4.51997i | −0.101504 | + | 0.153418i | ||||
\(869\) | 0.0711852 | + | 0.495104i | 0.00241479 | + | 0.0167953i | ||||
\(870\) | 0.106427 | + | 2.23418i | 0.00360821 | + | 0.0757457i | ||||
\(871\) | 0.777917 | − | 2.24764i | 0.0263587 | − | 0.0761585i | ||||
\(872\) | −29.7745 | − | 28.3900i | −1.00829 | − | 0.961405i | ||||
\(873\) | −4.29156 | + | 7.43321i | −0.145247 | + | 0.251576i | ||||
\(874\) | −13.2800 | + | 3.85883i | −0.449203 | + | 0.130527i | ||||
\(875\) | 24.7843 | − | 13.8730i | 0.837862 | − | 0.468993i | ||||
\(876\) | −11.5670 | + | 3.39638i | −0.390813 | + | 0.114753i | ||||
\(877\) | 37.0216 | − | 7.13533i | 1.25013 | − | 0.240943i | 0.479111 | − | 0.877754i | \(-0.340959\pi\) |
0.771019 | + | 0.636812i | \(0.219747\pi\) | |||||||
\(878\) | −9.31810 | − | 4.80381i | −0.314471 | − | 0.162121i | ||||
\(879\) | 1.11943 | − | 0.880328i | 0.0377574 | − | 0.0296927i | ||||
\(880\) | −0.244888 | + | 0.126249i | −0.00825517 | + | 0.00425584i | ||||
\(881\) | 3.55266 | − | 7.77924i | 0.119692 | − | 0.262089i | −0.840297 | − | 0.542126i | \(-0.817619\pi\) |
0.959989 | + | 0.280037i | \(0.0903467\pi\) | |||||||
\(882\) | −3.75645 | + | 4.10904i | −0.126486 | + | 0.138359i | ||||
\(883\) | 3.84836 | − | 26.7659i | 0.129508 | − | 0.900745i | −0.816672 | − | 0.577102i | \(-0.804183\pi\) |
0.946179 | − | 0.323643i | \(-0.104908\pi\) | |||||||
\(884\) | −9.10629 | − | 0.869545i | −0.306278 | − | 0.0292460i | ||||
\(885\) | 3.54789 | + | 14.6246i | 0.119261 | + | 0.491601i | ||||
\(886\) | 5.41981 | + | 22.3408i | 0.182082 | + | 0.750553i | ||||
\(887\) | 9.21752 | + | 0.880167i | 0.309494 | + | 0.0295531i | 0.248648 | − | 0.968594i | \(-0.420014\pi\) |
0.0608466 | + | 0.998147i | \(0.480620\pi\) | |||||||
\(888\) | −1.04998 | + | 7.30280i | −0.0352352 | + | 0.245066i | ||||
\(889\) | 9.91790 | − | 48.0133i | 0.332636 | − | 1.61031i | ||||
\(890\) | −6.10881 | + | 13.3764i | −0.204768 | + | 0.448379i | ||||
\(891\) | −0.174804 | + | 0.0901176i | −0.00585614 | + | 0.00301905i | ||||
\(892\) | 6.47922 | − | 5.09532i | 0.216940 | − | 0.170604i | ||||
\(893\) | 4.84207 | + | 2.49626i | 0.162034 | + | 0.0835342i | ||||
\(894\) | 4.02404 | − | 0.775571i | 0.134584 | − | 0.0259390i | ||||
\(895\) | 1.02728 | − | 0.301637i | 0.0343382 | − | 0.0100826i | ||||
\(896\) | 0.314762 | − | 23.6629i | 0.0105154 | − | 0.790521i | ||||
\(897\) | 3.55406 | − | 2.26996i | 0.118666 | − | 0.0757916i | ||||
\(898\) | 5.65446 | − | 9.79382i | 0.188692 | − | 0.326824i | ||||
\(899\) | −1.31630 | − | 1.25509i | −0.0439010 | − | 0.0418596i | ||||
\(900\) | 0.163429 | − | 0.472196i | 0.00544762 | − | 0.0157399i | ||||
\(901\) | 3.83014 | + | 80.4044i | 0.127600 | + | 2.67866i | ||||
\(902\) | 0.0270547 | + | 0.188170i | 0.000900825 | + | 0.00626537i | ||||
\(903\) | −2.10639 | − | 4.22281i | −0.0700963 | − | 0.140526i | ||||
\(904\) | 8.68692 | − | 19.0217i | 0.288923 | − | 0.632653i | ||||
\(905\) | 8.03449 | + | 23.2141i | 0.267076 | + | 0.771664i | ||||
\(906\) | 7.81668 | − | 3.12933i | 0.259692 | − | 0.103965i | ||||
\(907\) | −25.7388 | + | 36.1450i | −0.854641 | + | 1.20018i | 0.123523 | + | 0.992342i | \(0.460581\pi\) |
−0.978164 | + | 0.207834i | \(0.933359\pi\) | |||||||
\(908\) | 14.4479 | − | 13.7760i | 0.479470 | − | 0.457174i | ||||
\(909\) | −9.34919 | − | 2.74517i | −0.310093 | − | 0.0910515i | ||||
\(910\) | −0.464121 | + | 4.26077i | −0.0153855 | + | 0.141243i | ||||
\(911\) | 4.89858 | − | 34.0704i | 0.162297 | − | 1.12880i | −0.731992 | − | 0.681313i | \(-0.761409\pi\) |
0.894289 | − | 0.447489i | \(-0.147682\pi\) | |||||||
\(912\) | −0.717200 | − | 2.07221i | −0.0237489 | − | 0.0686179i | ||||
\(913\) | 2.60479 | − | 0.248727i | 0.0862060 | − | 0.00823167i | ||||
\(914\) | 0.557180 | − | 11.6966i | 0.0184299 | − | 0.386891i | ||||
\(915\) | −29.6691 | − | 11.8777i | −0.980830 | − | 0.392665i | ||||
\(916\) | 24.1630 | − | 15.5286i | 0.798368 | − | 0.513080i | ||||
\(917\) | 2.07869 | − | 1.75333i | 0.0686443 | − | 0.0579001i | ||||
\(918\) | 5.80552 | − | 1.70465i | 0.191611 | − | 0.0562620i | ||||
\(919\) | 1.24301 | − | 2.15295i | 0.0410030 | − | 0.0710193i | −0.844796 | − | 0.535089i | \(-0.820278\pi\) |
0.885799 | + | 0.464070i | \(0.153611\pi\) | |||||||
\(920\) | −17.3259 | + | 24.1865i | −0.571217 | + | 0.797407i | ||||
\(921\) | −10.4726 | − | 18.1391i | −0.345084 | − | 0.597703i | ||||
\(922\) | −4.96866 | + | 20.4811i | −0.163634 | + | 0.674509i | ||||
\(923\) | 0.498882 | + | 0.575740i | 0.0164209 | + | 0.0189507i | ||||
\(924\) | 0.334421 | − | 0.628034i | 0.0110017 | − | 0.0206608i | ||||
\(925\) | −0.143256 | − | 0.996369i | −0.00471024 | − | 0.0327604i | ||||
\(926\) | −23.1276 | + | 11.9231i | −0.760022 | + | 0.391818i | ||||
\(927\) | −18.9978 | + | 1.81407i | −0.623971 | + | 0.0595820i | ||||
\(928\) | 6.95932 | + | 1.34130i | 0.228451 | + | 0.0440303i | ||||
\(929\) | 4.78836 | + | 3.76561i | 0.157101 | + | 0.123546i | 0.693615 | − | 0.720346i | \(-0.256017\pi\) |
−0.536514 | + | 0.843891i | \(0.680259\pi\) | |||||||
\(930\) | −1.14643 | − | 2.51033i | −0.0375930 | − | 0.0823171i | ||||
\(931\) | −5.32531 | − | 24.8146i | −0.174530 | − | 0.813267i | ||||
\(932\) | 10.6260 | + | 3.12006i | 0.348065 | + | 0.102201i | ||||
\(933\) | −18.0209 | − | 1.72079i | −0.589978 | − | 0.0563361i | ||||
\(934\) | 8.63899 | − | 3.45853i | 0.282676 | − | 0.113167i | ||||
\(935\) | 3.40300 | + | 0.655874i | 0.111290 | + | 0.0214494i | ||||
\(936\) | −1.36606 | − | 1.91837i | −0.0446512 | − | 0.0627038i | ||||
\(937\) | −51.1270 | − | 32.8573i | −1.67025 | − | 1.07340i | −0.900275 | − | 0.435321i | \(-0.856635\pi\) |
−0.769970 | − | 0.638080i | \(-0.779729\pi\) | |||||||
\(938\) | −3.45855 | − | 4.52038i | −0.112926 | − | 0.147596i | ||||
\(939\) | −7.96118 | + | 5.11634i | −0.259803 | + | 0.166965i | ||||
\(940\) | 4.67320 | − | 0.900686i | 0.152423 | − | 0.0293771i | ||||
\(941\) | −13.7689 | − | 13.1286i | −0.448853 | − | 0.427981i | 0.431635 | − | 0.902048i | \(-0.357937\pi\) |
−0.880489 | + | 0.474067i | \(0.842785\pi\) | |||||||
\(942\) | 8.38742 | + | 14.5274i | 0.273277 | + | 0.473330i | ||||
\(943\) | −3.36767 | − | 4.75749i | −0.109667 | − | 0.154925i | ||||
\(944\) | 3.92931 | 0.127888 | ||||||||
\(945\) | 1.64822 | + | 5.90265i | 0.0536166 | + | 0.192013i | ||||
\(946\) | −0.182695 | − | 0.210842i | −0.00593994 | − | 0.00685506i | ||||
\(947\) | −2.44820 | − | 51.3941i | −0.0795559 | − | 1.67008i | −0.587903 | − | 0.808931i | \(-0.700046\pi\) |
0.508348 | − | 0.861152i | \(-0.330257\pi\) | |||||||
\(948\) | −2.73384 | + | 2.14991i | −0.0887909 | + | 0.0698260i | ||||
\(949\) | 0.368860 | − | 7.74332i | 0.0119737 | − | 0.251359i | ||||
\(950\) | −0.611203 | − | 0.858315i | −0.0198301 | − | 0.0278474i | ||||
\(951\) | 2.03181 | − | 2.34483i | 0.0658859 | − | 0.0760364i | ||||
\(952\) | −33.8841 | + | 41.9272i | −1.09819 | + | 1.35887i | ||||
\(953\) | 21.0487 | + | 46.0903i | 0.681835 | + | 1.49301i | 0.860687 | + | 0.509135i | \(0.170034\pi\) |
−0.178852 | + | 0.983876i | \(0.557238\pi\) | |||||||
\(954\) | −6.09044 | + | 5.80722i | −0.197185 | + | 0.188016i | ||||
\(955\) | 3.06775 | + | 12.6454i | 0.0992699 | + | 0.409196i | ||||
\(956\) | −21.2935 | + | 29.9025i | −0.688680 | + | 0.967116i | ||||
\(957\) | 0.187690 | + | 0.147601i | 0.00606715 | + | 0.00477126i | ||||
\(958\) | 8.55915 | − | 9.87778i | 0.276534 | − | 0.319137i | ||||
\(959\) | 8.40574 | − | 5.81877i | 0.271435 | − | 0.187898i | ||||
\(960\) | 6.68990 | + | 4.29934i | 0.215916 | + | 0.138761i | ||||
\(961\) | −26.6961 | − | 10.6875i | −0.861165 | − | 0.344758i | ||||
\(962\) | −1.71240 | − | 0.882802i | −0.0552099 | − | 0.0284627i | ||||
\(963\) | 2.97712 | − | 8.60182i | 0.0959363 | − | 0.277190i | ||||
\(964\) | 5.00228 | − | 20.6197i | 0.161113 | − | 0.664116i | ||||
\(965\) | −0.151680 | −0.00488276 | ||||||||
\(966\) | 0.162602 | − | 10.0903i | 0.00523164 | − | 0.324651i | ||||
\(967\) | −33.4653 | −1.07617 | −0.538086 | − | 0.842890i | \(-0.680852\pi\) | ||||
−0.538086 | + | 0.842890i | \(0.680852\pi\) | |||||||
\(968\) | −6.92118 | + | 28.5295i | −0.222455 | + | 0.916973i | ||||
\(969\) | −9.02144 | + | 26.0657i | −0.289810 | + | 0.837352i | ||||
\(970\) | 14.0545 | + | 7.24562i | 0.451264 | + | 0.232643i | ||||
\(971\) | −6.22792 | − | 2.49328i | −0.199863 | − | 0.0800132i | 0.269571 | − | 0.962980i | \(-0.413118\pi\) |
−0.469435 | + | 0.882967i | \(0.655542\pi\) | |||||||
\(972\) | −1.15037 | − | 0.739298i | −0.0368981 | − | 0.0237130i | ||||
\(973\) | 1.45162 | + | 17.6850i | 0.0465369 | + | 0.566955i | ||||
\(974\) | 13.1735 | − | 15.2030i | 0.422105 | − | 0.487135i | ||||
\(975\) | 0.252570 | + | 0.198624i | 0.00808873 | + | 0.00636105i | ||||
\(976\) | −4.84026 | + | 6.79720i | −0.154933 | + | 0.217573i | ||||
\(977\) | 11.2829 | + | 46.5087i | 0.360971 | + | 1.48794i | 0.805725 | + | 0.592290i | \(0.201776\pi\) |
−0.444753 | + | 0.895653i | \(0.646709\pi\) | |||||||
\(978\) | −8.15879 | + | 7.77939i | −0.260889 | + | 0.248757i | ||||
\(979\) | 0.652132 | + | 1.42797i | 0.0208422 | + | 0.0456381i | ||||
\(980\) | −17.0578 | − | 14.1647i | −0.544893 | − | 0.452475i | ||||
\(981\) | 10.0592 | − | 11.6090i | 0.321167 | − | 0.370647i | ||||
\(982\) | −5.49709 | − | 7.71959i | −0.175419 | − | 0.246342i | ||||
\(983\) | 1.15347 | − | 24.2143i | 0.0367900 | − | 0.772316i | −0.902810 | − | 0.430040i | \(-0.858499\pi\) |
0.939600 | − | 0.342276i | \(-0.111198\pi\) | |||||||
\(984\) | −2.55868 | + | 2.01217i | −0.0815679 | + | 0.0641457i | ||||
\(985\) | −0.143646 | − | 3.01550i | −0.00457695 | − | 0.0960820i | ||||
\(986\) | −4.81070 | − | 5.55184i | −0.153204 | − | 0.176807i | ||||
\(987\) | −2.78131 | + | 2.84033i | −0.0885300 | + | 0.0904087i | ||||
\(988\) | 4.35962 | 0.138698 | ||||||||
\(989\) | 7.93221 | + | 3.20149i | 0.252230 | + | 0.101801i | ||||
\(990\) | 0.181155 | + | 0.313769i | 0.00575747 | + | 0.00997223i | ||||
\(991\) | 20.3457 | + | 19.3996i | 0.646304 | + | 0.616249i | 0.940621 | − | 0.339458i | \(-0.110244\pi\) |
−0.294317 | + | 0.955708i | \(0.595092\pi\) | |||||||
\(992\) | −8.58663 | + | 1.65494i | −0.272626 | + | 0.0525443i | ||||
\(993\) | −27.6513 | + | 17.7704i | −0.877489 | + | 0.563928i | ||||
\(994\) | 1.80777 | − | 0.235421i | 0.0573390 | − | 0.00746710i | ||||
\(995\) | −35.3265 | − | 22.7030i | −1.11993 | − | 0.719733i | ||||
\(996\) | 10.5535 | + | 14.8203i | 0.334400 | + | 0.469599i | ||||
\(997\) | 41.2521 | + | 7.95069i | 1.30647 | + | 0.251801i | 0.794532 | − | 0.607223i | \(-0.207716\pi\) |
0.511936 | + | 0.859024i | \(0.328929\pi\) | |||||||
\(998\) | 0.717817 | − | 0.287371i | 0.0227221 | − | 0.00909656i | ||||
\(999\) | −2.74229 | − | 0.261856i | −0.0867621 | − | 0.00828477i |
(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.y.b.331.6 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.b.193.6 | ✓ | 320 | |
23.18 | even | 11 | inner | 483.2.y.b.478.6 | yes | 320 | |
161.18 | even | 33 | inner | 483.2.y.b.340.6 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.193.6 | ✓ | 320 | 7.4 | even | 3 | inner | |
483.2.y.b.331.6 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.340.6 | yes | 320 | 161.18 | even | 33 | inner | |
483.2.y.b.478.6 | yes | 320 | 23.18 | even | 11 | inner |