Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(3,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.w (of order \(84\), degree \(24\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 103.6 | ||
Character | \(\chi\) | \(=\) | 490.103 |
Dual form | 490.2.w.a.157.6 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.593820 | + | 0.804598i | −0.419894 | + | 0.568937i | ||||
\(3\) | −1.03025 | + | 0.194933i | −0.594814 | + | 0.112545i | −0.474597 | − | 0.880203i | \(-0.657406\pi\) |
−0.120216 | + | 0.992748i | \(0.538359\pi\) | |||||||
\(4\) | −0.294755 | − | 0.955573i | −0.147378 | − | 0.477786i | ||||
\(5\) | 0.328515 | + | 2.21180i | 0.146916 | + | 0.989149i | ||||
\(6\) | 0.454939 | − | 0.944690i | 0.185728 | − | 0.385668i | ||||
\(7\) | 1.16126 | + | 2.37728i | 0.438915 | + | 0.898528i | ||||
\(8\) | 0.943883 | + | 0.330279i | 0.333713 | + | 0.116771i | ||||
\(9\) | −1.76921 | + | 0.694364i | −0.589737 | + | 0.231455i | ||||
\(10\) | −1.97469 | − | 1.04909i | −0.624452 | − | 0.331752i | ||||
\(11\) | 0.564901 | − | 1.43934i | 0.170324 | − | 0.433979i | −0.820068 | − | 0.572266i | \(-0.806064\pi\) |
0.990392 | + | 0.138287i | \(0.0441597\pi\) | |||||||
\(12\) | 0.489944 | + | 0.927019i | 0.141435 | + | 0.267607i | ||||
\(13\) | 2.46802 | + | 0.278079i | 0.684505 | + | 0.0771252i | 0.447367 | − | 0.894351i | \(-0.352362\pi\) |
0.237138 | + | 0.971476i | \(0.423790\pi\) | |||||||
\(14\) | −2.60234 | − | 0.477330i | −0.695504 | − | 0.127572i | ||||
\(15\) | −0.769606 | − | 2.21467i | −0.198711 | − | 0.571824i | ||||
\(16\) | −0.826239 | + | 0.563320i | −0.206560 | + | 0.140830i | ||||
\(17\) | −0.883827 | − | 0.0330705i | −0.214360 | − | 0.00802077i | −0.0700043 | − | 0.997547i | \(-0.522301\pi\) |
−0.144355 | + | 0.989526i | \(0.546111\pi\) | |||||||
\(18\) | 0.491909 | − | 1.83583i | 0.115944 | − | 0.432709i | ||||
\(19\) | −1.61635 | + | 2.79960i | −0.370816 | + | 0.642271i | −0.989691 | − | 0.143218i | \(-0.954255\pi\) |
0.618876 | + | 0.785489i | \(0.287588\pi\) | |||||||
\(20\) | 2.01671 | − | 0.965861i | 0.450950 | − | 0.215973i | ||||
\(21\) | −1.65980 | − | 2.22282i | −0.362198 | − | 0.485059i | ||||
\(22\) | 0.822644 | + | 1.30923i | 0.175388 | + | 0.279129i | ||||
\(23\) | 0.0273763 | + | 0.731647i | 0.00570835 | + | 0.152559i | 0.999239 | + | 0.0389973i | \(0.0124164\pi\) |
−0.993531 | + | 0.113562i | \(0.963774\pi\) | |||||||
\(24\) | −1.03682 | − | 0.156275i | −0.211639 | − | 0.0318995i | ||||
\(25\) | −4.78416 | + | 1.45322i | −0.956831 | + | 0.290644i | ||||
\(26\) | −1.68930 | + | 1.82063i | −0.331299 | + | 0.357056i | ||||
\(27\) | 4.35081 | − | 2.73379i | 0.837314 | − | 0.526119i | ||||
\(28\) | 1.92938 | − | 1.81039i | 0.364618 | − | 0.342131i | ||||
\(29\) | −10.4238 | + | 2.37916i | −1.93565 | + | 0.441799i | −0.941007 | + | 0.338386i | \(0.890119\pi\) |
−0.994639 | + | 0.103413i | \(0.967024\pi\) | |||||||
\(30\) | 2.23892 | + | 0.695890i | 0.408770 | + | 0.127052i | ||||
\(31\) | −1.07230 | + | 0.619090i | −0.192590 | + | 0.111192i | −0.593195 | − | 0.805059i | \(-0.702133\pi\) |
0.400604 | + | 0.916251i | \(0.368800\pi\) | |||||||
\(32\) | 0.0373912 | − | 0.999301i | 0.00660989 | − | 0.176653i | ||||
\(33\) | −0.301412 | + | 1.59300i | −0.0524690 | + | 0.277306i | ||||
\(34\) | 0.551443 | − | 0.691488i | 0.0945717 | − | 0.118589i | ||||
\(35\) | −4.87659 | + | 3.34946i | −0.824294 | + | 0.566161i | ||||
\(36\) | 1.18500 | + | 1.48594i | 0.197500 | + | 0.247657i | ||||
\(37\) | −3.46346 | + | 1.83049i | −0.569390 | + | 0.300931i | −0.727075 | − | 0.686558i | \(-0.759121\pi\) |
0.157685 | + | 0.987489i | \(0.449597\pi\) | |||||||
\(38\) | −1.29273 | − | 2.96297i | −0.209708 | − | 0.480657i | ||||
\(39\) | −2.59688 | + | 0.194609i | −0.415833 | + | 0.0311624i | ||||
\(40\) | −0.420433 | + | 2.19619i | −0.0664762 | + | 0.347248i | ||||
\(41\) | −1.18638 | − | 2.46355i | −0.185282 | − | 0.384741i | 0.787551 | − | 0.616249i | \(-0.211349\pi\) |
−0.972833 | + | 0.231507i | \(0.925634\pi\) | |||||||
\(42\) | 2.77410 | − | 0.0155139i | 0.428053 | − | 0.00239385i | ||||
\(43\) | 1.69120 | + | 4.83319i | 0.257906 | + | 0.737054i | 0.997920 | + | 0.0644622i | \(0.0205332\pi\) |
−0.740014 | + | 0.672592i | \(0.765181\pi\) | |||||||
\(44\) | −1.54191 | − | 0.115550i | −0.232451 | − | 0.0174198i | ||||
\(45\) | −2.11701 | − | 3.68504i | −0.315585 | − | 0.549333i | ||||
\(46\) | −0.604938 | − | 0.412440i | −0.0891932 | − | 0.0608109i | ||||
\(47\) | −3.68897 | − | 2.72258i | −0.538092 | − | 0.397130i | 0.290592 | − | 0.956847i | \(-0.406148\pi\) |
−0.828684 | + | 0.559717i | \(0.810910\pi\) | |||||||
\(48\) | 0.741420 | − | 0.741420i | 0.107015 | − | 0.107015i | ||||
\(49\) | −4.30294 | + | 5.52129i | −0.614706 | + | 0.788756i | ||||
\(50\) | 1.67167 | − | 4.71227i | 0.236410 | − | 0.666416i | ||||
\(51\) | 0.917007 | − | 0.138217i | 0.128407 | − | 0.0193542i | ||||
\(52\) | −0.461737 | − | 2.44034i | −0.0640313 | − | 0.338414i | ||||
\(53\) | −0.847488 | − | 0.447910i | −0.116411 | − | 0.0615252i | 0.408049 | − | 0.912960i | \(-0.366209\pi\) |
−0.524461 | + | 0.851435i | \(0.675733\pi\) | |||||||
\(54\) | −0.383993 | + | 5.12403i | −0.0522549 | + | 0.697293i | ||||
\(55\) | 3.36913 | + | 0.776604i | 0.454293 | + | 0.104717i | ||||
\(56\) | 0.310928 | + | 2.62742i | 0.0415496 | + | 0.351103i | ||||
\(57\) | 1.11950 | − | 3.19936i | 0.148282 | − | 0.423765i | ||||
\(58\) | 4.27558 | − | 9.79974i | 0.561411 | − | 1.28677i | ||||
\(59\) | −0.212941 | − | 2.84150i | −0.0277226 | − | 0.369932i | −0.993761 | − | 0.111533i | \(-0.964424\pi\) |
0.966038 | − | 0.258399i | \(-0.0831951\pi\) | |||||||
\(60\) | −1.88943 | + | 1.38820i | −0.243924 | + | 0.179216i | ||||
\(61\) | 0.583208 | − | 1.89071i | 0.0746721 | − | 0.242081i | −0.910540 | − | 0.413421i | \(-0.864334\pi\) |
0.985212 | + | 0.171341i | \(0.0548098\pi\) | |||||||
\(62\) | 0.138632 | − | 1.23040i | 0.0176063 | − | 0.156260i | ||||
\(63\) | −3.70522 | − | 3.39958i | −0.466813 | − | 0.428306i | ||||
\(64\) | 0.781831 | + | 0.623490i | 0.0977289 | + | 0.0779362i | ||||
\(65\) | 0.195725 | + | 5.55013i | 0.0242767 | + | 0.688408i | ||||
\(66\) | −1.10274 | − | 1.18847i | −0.135738 | − | 0.146291i | ||||
\(67\) | 8.81519 | + | 2.36202i | 1.07695 | + | 0.288567i | 0.753344 | − | 0.657626i | \(-0.228439\pi\) |
0.323602 | + | 0.946193i | \(0.395106\pi\) | |||||||
\(68\) | 0.228911 | + | 0.854309i | 0.0277596 | + | 0.103600i | ||||
\(69\) | −0.170827 | − | 0.748441i | −0.0205651 | − | 0.0901017i | ||||
\(70\) | 0.200854 | − | 5.91267i | 0.0240067 | − | 0.706699i | ||||
\(71\) | −0.892581 | + | 3.91065i | −0.105930 | + | 0.464109i | 0.893943 | + | 0.448180i | \(0.147928\pi\) |
−0.999873 | + | 0.0159289i | \(0.994929\pi\) | |||||||
\(72\) | −1.89926 | + | 0.0710654i | −0.223830 | + | 0.00837514i | ||||
\(73\) | 5.56662 | − | 4.10835i | 0.651523 | − | 0.480846i | −0.217211 | − | 0.976125i | \(-0.569696\pi\) |
0.868734 | + | 0.495279i | \(0.164934\pi\) | |||||||
\(74\) | 0.583863 | − | 3.87368i | 0.0678727 | − | 0.450306i | ||||
\(75\) | 4.64558 | − | 2.42977i | 0.536426 | − | 0.280566i | ||||
\(76\) | 3.15164 | + | 0.719342i | 0.361518 | + | 0.0825142i | ||||
\(77\) | 4.07773 | − | 0.328525i | 0.464700 | − | 0.0374390i | ||||
\(78\) | 1.38550 | − | 2.20500i | 0.156876 | − | 0.249667i | ||||
\(79\) | 9.38551 | + | 5.41873i | 1.05595 | + | 0.609654i | 0.924310 | − | 0.381643i | \(-0.124642\pi\) |
0.131642 | + | 0.991297i | \(0.457975\pi\) | |||||||
\(80\) | −1.51739 | − | 1.64242i | −0.169649 | − | 0.183628i | ||||
\(81\) | 0.230195 | − | 0.213590i | 0.0255772 | − | 0.0237322i | ||||
\(82\) | 2.68666 | + | 0.508344i | 0.296692 | + | 0.0561372i | ||||
\(83\) | −0.469446 | − | 4.16645i | −0.0515284 | − | 0.457327i | −0.992810 | − | 0.119704i | \(-0.961806\pi\) |
0.941281 | − | 0.337624i | \(-0.109623\pi\) | |||||||
\(84\) | −1.63483 | + | 2.24125i | −0.178375 | + | 0.244540i | ||||
\(85\) | −0.217205 | − | 1.96572i | −0.0235592 | − | 0.213212i | ||||
\(86\) | −4.89304 | − | 1.50930i | −0.527630 | − | 0.162752i | ||||
\(87\) | 10.2753 | − | 4.48306i | 1.10163 | − | 0.480635i | ||||
\(88\) | 1.00859 | − | 1.17200i | 0.107516 | − | 0.124935i | ||||
\(89\) | 0.312991 | + | 0.797487i | 0.0331769 | + | 0.0845335i | 0.946502 | − | 0.322697i | \(-0.104590\pi\) |
−0.913325 | + | 0.407231i | \(0.866494\pi\) | |||||||
\(90\) | 4.22210 | + | 0.484909i | 0.445048 | + | 0.0511139i | ||||
\(91\) | 2.20494 | + | 6.19010i | 0.231141 | + | 0.648899i | ||||
\(92\) | 0.691072 | − | 0.241817i | 0.0720493 | − | 0.0252111i | ||||
\(93\) | 0.984049 | − | 0.846843i | 0.102041 | − | 0.0878135i | ||||
\(94\) | 4.38117 | − | 1.35141i | 0.451883 | − | 0.139387i | ||||
\(95\) | −6.72315 | − | 2.65533i | −0.689781 | − | 0.272432i | ||||
\(96\) | 0.156275 | + | 1.03682i | 0.0159497 | + | 0.105820i | ||||
\(97\) | 10.5225 | + | 10.5225i | 1.06840 | + | 1.06840i | 0.997482 | + | 0.0709156i | \(0.0225921\pi\) |
0.0709156 | + | 0.997482i | \(0.477408\pi\) | |||||||
\(98\) | −1.88724 | − | 6.74079i | −0.190640 | − | 0.680923i | ||||
\(99\) | 2.93875i | 0.295356i | ||||||||
\(100\) | 2.79881 | + | 4.14326i | 0.279881 | + | 0.414326i | ||||
\(101\) | −1.43242 | + | 2.10098i | −0.142532 | + | 0.209055i | −0.890866 | − | 0.454266i | \(-0.849901\pi\) |
0.748334 | + | 0.663322i | \(0.230854\pi\) | |||||||
\(102\) | −0.433329 | + | 0.819898i | −0.0429059 | + | 0.0811820i | ||||
\(103\) | 5.65076 | + | 6.56630i | 0.556786 | + | 0.646997i | 0.963863 | − | 0.266397i | \(-0.0858331\pi\) |
−0.407078 | + | 0.913394i | \(0.633452\pi\) | |||||||
\(104\) | 2.23768 | + | 1.07761i | 0.219422 | + | 0.105668i | ||||
\(105\) | 4.37117 | − | 4.40138i | 0.426583 | − | 0.429530i | ||||
\(106\) | 0.863643 | − | 0.415909i | 0.0838844 | − | 0.0403966i | ||||
\(107\) | 15.9096 | + | 6.94129i | 1.53804 | + | 0.671040i | 0.986597 | − | 0.163173i | \(-0.0521728\pi\) |
0.551443 | + | 0.834213i | \(0.314078\pi\) | |||||||
\(108\) | −3.89476 | − | 3.35171i | −0.374774 | − | 0.322519i | ||||
\(109\) | −11.5520 | − | 4.53382i | −1.10648 | − | 0.434261i | −0.259422 | − | 0.965764i | \(-0.583532\pi\) |
−0.847056 | + | 0.531503i | \(0.821627\pi\) | |||||||
\(110\) | −2.62551 | + | 2.24963i | −0.250333 | + | 0.214494i | ||||
\(111\) | 3.21140 | − | 2.56100i | 0.304812 | − | 0.243080i | ||||
\(112\) | −2.29865 | − | 1.31004i | −0.217202 | − | 0.123787i | ||||
\(113\) | −17.7757 | + | 2.00284i | −1.67220 | + | 0.188412i | −0.896609 | − | 0.442823i | \(-0.853977\pi\) |
−0.775592 | + | 0.631235i | \(0.782548\pi\) | |||||||
\(114\) | 1.90941 | + | 2.80059i | 0.178833 | + | 0.262299i | ||||
\(115\) | −1.60927 | + | 0.300908i | −0.150065 | + | 0.0280598i | ||||
\(116\) | 5.34592 | + | 9.25940i | 0.496356 | + | 0.859714i | ||||
\(117\) | −4.55953 | + | 1.22172i | −0.421529 | + | 0.112948i | ||||
\(118\) | 2.41272 | + | 1.51601i | 0.222109 | + | 0.139560i | ||||
\(119\) | −0.947737 | − | 2.13951i | −0.0868789 | − | 0.196129i | ||||
\(120\) | 0.00503970 | − | 2.34457i | 0.000460060 | − | 0.214029i | ||||
\(121\) | 6.31097 | + | 5.85572i | 0.573725 | + | 0.532339i | ||||
\(122\) | 1.17494 | + | 1.59199i | 0.106374 | + | 0.144132i | ||||
\(123\) | 1.70249 | + | 2.30680i | 0.153509 | + | 0.207997i | ||||
\(124\) | 0.907651 | + | 0.842177i | 0.0815095 | + | 0.0756297i | ||||
\(125\) | −4.78591 | − | 10.1042i | −0.428065 | − | 0.903748i | ||||
\(126\) | 4.93552 | − | 0.962471i | 0.439691 | − | 0.0857438i | ||||
\(127\) | −2.88551 | − | 1.81309i | −0.256048 | − | 0.160885i | 0.397892 | − | 0.917432i | \(-0.369742\pi\) |
−0.653939 | + | 0.756547i | \(0.726885\pi\) | |||||||
\(128\) | −0.965926 | + | 0.258819i | −0.0853766 | + | 0.0228766i | ||||
\(129\) | −2.68451 | − | 4.64970i | −0.236358 | − | 0.409384i | ||||
\(130\) | −4.58184 | − | 3.13830i | −0.401854 | − | 0.275247i | ||||
\(131\) | 6.22744 | + | 9.13397i | 0.544094 | + | 0.798039i | 0.995548 | − | 0.0942552i | \(-0.0300470\pi\) |
−0.451454 | + | 0.892294i | \(0.649095\pi\) | |||||||
\(132\) | 1.61107 | − | 0.181524i | 0.140226 | − | 0.0157996i | ||||
\(133\) | −8.53243 | − | 0.591453i | −0.739856 | − | 0.0512854i | ||||
\(134\) | −7.13511 | + | 5.69006i | −0.616380 | + | 0.491547i | ||||
\(135\) | 7.47592 | + | 8.72504i | 0.643425 | + | 0.750932i | ||||
\(136\) | −0.823307 | − | 0.323124i | −0.0705980 | − | 0.0277077i | ||||
\(137\) | 12.7793 | + | 10.9975i | 1.09181 | + | 0.939581i | 0.998428 | − | 0.0560490i | \(-0.0178503\pi\) |
0.0933850 | + | 0.995630i | \(0.470231\pi\) | |||||||
\(138\) | 0.703634 | + | 0.306992i | 0.0598973 | + | 0.0261329i | ||||
\(139\) | 17.3609 | − | 8.36059i | 1.47254 | − | 0.709136i | 0.486195 | − | 0.873850i | \(-0.338385\pi\) |
0.986341 | + | 0.164714i | \(0.0526702\pi\) | |||||||
\(140\) | 4.63805 | + | 3.67267i | 0.391987 | + | 0.310397i | ||||
\(141\) | 4.33127 | + | 2.08583i | 0.364759 | + | 0.175659i | ||||
\(142\) | −2.61647 | − | 3.04039i | −0.219569 | − | 0.255144i | ||||
\(143\) | 1.79444 | − | 3.39524i | 0.150058 | − | 0.283924i | ||||
\(144\) | 1.07064 | − | 1.57034i | 0.0892201 | − | 0.130862i | ||||
\(145\) | −8.68660 | − | 22.2738i | −0.721383 | − | 1.84973i | ||||
\(146\) | 6.91851i | 0.572580i | ||||||||
\(147\) | 3.35681 | − | 6.52708i | 0.276865 | − | 0.538345i | ||||
\(148\) | 2.77004 | + | 2.77004i | 0.227696 | + | 0.227696i | ||||
\(149\) | −0.853702 | − | 5.66395i | −0.0699380 | − | 0.464009i | −0.996198 | − | 0.0871224i | \(-0.972233\pi\) |
0.926260 | − | 0.376886i | \(-0.123005\pi\) | |||||||
\(150\) | −0.803653 | + | 5.18067i | −0.0656180 | + | 0.423000i | ||||
\(151\) | 8.20564 | − | 2.53110i | 0.667765 | − | 0.205978i | 0.0577054 | − | 0.998334i | \(-0.481622\pi\) |
0.610060 | + | 0.792355i | \(0.291145\pi\) | |||||||
\(152\) | −2.45029 | + | 2.10865i | −0.198745 | + | 0.171034i | ||||
\(153\) | 1.58664 | − | 0.555189i | 0.128272 | − | 0.0448844i | ||||
\(154\) | −2.15711 | + | 3.47602i | −0.173825 | + | 0.280105i | ||||
\(155\) | −1.72157 | − | 2.16833i | −0.138280 | − | 0.174164i | ||||
\(156\) | 0.951406 | + | 2.42414i | 0.0761734 | + | 0.194087i | ||||
\(157\) | 0.426245 | − | 0.495306i | 0.0340181 | − | 0.0395297i | −0.740705 | − | 0.671830i | \(-0.765508\pi\) |
0.774723 | + | 0.632301i | \(0.217889\pi\) | |||||||
\(158\) | −9.93320 | + | 4.33381i | −0.790243 | + | 0.344779i | ||||
\(159\) | 0.960435 | + | 0.296255i | 0.0761674 | + | 0.0234945i | ||||
\(160\) | 2.22254 | − | 0.245583i | 0.175707 | − | 0.0194151i | ||||
\(161\) | −1.70754 | + | 0.914714i | −0.134573 | + | 0.0720896i | ||||
\(162\) | 0.0351594 | + | 0.312048i | 0.00276238 | + | 0.0245168i | ||||
\(163\) | 13.6998 | + | 2.59215i | 1.07305 | + | 0.203033i | 0.692276 | − | 0.721633i | \(-0.256608\pi\) |
0.380779 | + | 0.924666i | \(0.375656\pi\) | |||||||
\(164\) | −2.00441 | + | 1.85982i | −0.156518 | + | 0.145227i | ||||
\(165\) | −3.62242 | − | 0.143339i | −0.282005 | − | 0.0111590i | ||||
\(166\) | 3.63108 | + | 2.09641i | 0.281827 | + | 0.162713i | ||||
\(167\) | −4.93770 | + | 7.85830i | −0.382090 | + | 0.608094i | −0.981297 | − | 0.192501i | \(-0.938340\pi\) |
0.599206 | + | 0.800595i | \(0.295483\pi\) | |||||||
\(168\) | −0.832504 | − | 2.64628i | −0.0642291 | − | 0.204165i | ||||
\(169\) | −6.66028 | − | 1.52016i | −0.512329 | − | 0.116936i | ||||
\(170\) | 1.71059 | + | 0.992520i | 0.131196 | + | 0.0761228i | ||||
\(171\) | 0.915720 | − | 6.07541i | 0.0700269 | − | 0.464598i | ||||
\(172\) | 4.11997 | − | 3.04068i | 0.314145 | − | 0.231849i | ||||
\(173\) | 18.4937 | − | 0.691985i | 1.40605 | − | 0.0526106i | 0.676451 | − | 0.736487i | \(-0.263517\pi\) |
0.729598 | + | 0.683877i | \(0.239707\pi\) | |||||||
\(174\) | −2.49461 | + | 10.9296i | −0.189116 | + | 0.828571i | ||||
\(175\) | −9.01037 | − | 9.68572i | −0.681120 | − | 0.732172i | ||||
\(176\) | 0.344069 | + | 1.50746i | 0.0259351 | + | 0.113629i | ||||
\(177\) | 0.773286 | + | 2.88594i | 0.0581237 | + | 0.216921i | ||||
\(178\) | −0.827517 | − | 0.221732i | −0.0620250 | − | 0.0166195i | ||||
\(179\) | −11.7315 | − | 12.6436i | −0.876856 | − | 0.945027i | 0.122015 | − | 0.992528i | \(-0.461065\pi\) |
−0.998871 | + | 0.0475018i | \(0.984874\pi\) | |||||||
\(180\) | −2.89732 | + | 3.10914i | −0.215954 | + | 0.231742i | ||||
\(181\) | −17.7756 | − | 14.1755i | −1.32125 | − | 1.05366i | −0.994075 | − | 0.108694i | \(-0.965333\pi\) |
−0.327172 | − | 0.944965i | \(-0.606096\pi\) | |||||||
\(182\) | −6.28988 | − | 1.90171i | −0.466237 | − | 0.140964i | ||||
\(183\) | −0.232285 | + | 2.06159i | −0.0171710 | + | 0.152397i | ||||
\(184\) | −0.215808 | + | 0.699631i | −0.0159095 | + | 0.0515775i | ||||
\(185\) | −5.18649 | − | 7.05916i | −0.381318 | − | 0.518999i | ||||
\(186\) | 0.0970195 | + | 1.29464i | 0.00711382 | + | 0.0949273i | ||||
\(187\) | −0.546875 | + | 1.25345i | −0.0399915 | + | 0.0916614i | ||||
\(188\) | −1.51428 | + | 4.32757i | −0.110441 | + | 0.315621i | ||||
\(189\) | 11.5514 | + | 7.16845i | 0.840243 | + | 0.521428i | ||||
\(190\) | 6.12882 | − | 3.83264i | 0.444631 | − | 0.278049i | ||||
\(191\) | −0.370171 | + | 4.93959i | −0.0267846 | + | 0.357416i | 0.967668 | + | 0.252228i | \(0.0811634\pi\) |
−0.994452 | + | 0.105188i | \(0.966456\pi\) | |||||||
\(192\) | −0.927019 | − | 0.489944i | −0.0669018 | − | 0.0353586i | ||||
\(193\) | 1.44208 | + | 7.62160i | 0.103804 | + | 0.548615i | 0.995402 | + | 0.0957876i | \(0.0305370\pi\) |
−0.891598 | + | 0.452827i | \(0.850415\pi\) | |||||||
\(194\) | −14.7149 | + | 2.21791i | −1.05646 | + | 0.159236i | ||||
\(195\) | −1.28355 | − | 5.67985i | −0.0919169 | − | 0.406742i | ||||
\(196\) | 6.54431 | + | 2.48435i | 0.467451 | + | 0.177453i | ||||
\(197\) | −15.8735 | + | 15.8735i | −1.13094 | + | 1.13094i | −0.140922 | + | 0.990021i | \(0.545007\pi\) |
−0.990021 | + | 0.140922i | \(0.954993\pi\) | |||||||
\(198\) | −2.36451 | − | 1.74509i | −0.168039 | − | 0.124018i | ||||
\(199\) | 9.65038 | + | 6.57952i | 0.684098 | + | 0.466410i | 0.854830 | − | 0.518908i | \(-0.173661\pi\) |
−0.170733 | + | 0.985317i | \(0.554613\pi\) | |||||||
\(200\) | −4.99565 | − | 0.208434i | −0.353246 | − | 0.0147385i | ||||
\(201\) | −9.54226 | − | 0.715094i | −0.673059 | − | 0.0504388i | ||||
\(202\) | −0.839842 | − | 2.40013i | −0.0590911 | − | 0.168873i | ||||
\(203\) | −17.7607 | − | 22.0174i | −1.24655 | − | 1.54532i | ||||
\(204\) | −0.402369 | − | 0.835527i | −0.0281714 | − | 0.0584986i | ||||
\(205\) | 5.05914 | − | 3.43336i | 0.353346 | − | 0.239796i | ||||
\(206\) | −8.63877 | + | 0.647386i | −0.601891 | + | 0.0451055i | ||||
\(207\) | −0.556464 | − | 1.27543i | −0.0386769 | − | 0.0886484i | ||||
\(208\) | −2.19582 | + | 1.16052i | −0.152253 | + | 0.0804679i | ||||
\(209\) | 3.11651 | + | 3.90798i | 0.215573 | + | 0.270320i | ||||
\(210\) | 0.945647 | + | 6.13066i | 0.0652558 | + | 0.423056i | ||||
\(211\) | −6.29371 | + | 7.89206i | −0.433277 | + | 0.543312i | −0.949757 | − | 0.312987i | \(-0.898670\pi\) |
0.516481 | + | 0.856299i | \(0.327242\pi\) | |||||||
\(212\) | −0.178210 | + | 0.941860i | −0.0122395 | + | 0.0646872i | ||||
\(213\) | 0.157263 | − | 4.20293i | 0.0107755 | − | 0.287980i | ||||
\(214\) | −15.0324 | + | 8.67896i | −1.02759 | + | 0.593281i | ||||
\(215\) | −10.1345 | + | 5.32839i | −0.691165 | + | 0.363393i | ||||
\(216\) | 5.00957 | − | 1.14340i | 0.340858 | − | 0.0777986i | ||||
\(217\) | −2.71697 | − | 1.83023i | −0.184440 | − | 0.124244i | ||||
\(218\) | 10.5077 | − | 6.60242i | 0.711671 | − | 0.447173i | ||||
\(219\) | −4.93414 | + | 5.31774i | −0.333418 | + | 0.359339i | ||||
\(220\) | −0.250966 | − | 3.44836i | −0.0169201 | − | 0.232488i | ||||
\(221\) | −2.17211 | − | 0.327392i | −0.146112 | − | 0.0220228i | ||||
\(222\) | 0.153586 | + | 4.10466i | 0.0103080 | + | 0.275487i | ||||
\(223\) | −7.23039 | − | 11.5071i | −0.484182 | − | 0.770572i | 0.511896 | − | 0.859047i | \(-0.328943\pi\) |
−0.996078 | + | 0.0884756i | \(0.971800\pi\) | |||||||
\(224\) | 2.41904 | − | 1.07156i | 0.161629 | − | 0.0715966i | ||||
\(225\) | 7.45511 | − | 5.89300i | 0.497008 | − | 0.392867i | ||||
\(226\) | 8.94411 | − | 15.4916i | 0.594953 | − | 1.03049i | ||||
\(227\) | 6.66894 | − | 24.8888i | 0.442633 | − | 1.65193i | −0.279477 | − | 0.960152i | \(-0.590161\pi\) |
0.722111 | − | 0.691778i | \(-0.243172\pi\) | |||||||
\(228\) | −3.38720 | − | 0.126740i | −0.224323 | − | 0.00839356i | ||||
\(229\) | 22.1799 | − | 15.1220i | 1.46569 | − | 0.999289i | 0.472681 | − | 0.881233i | \(-0.343286\pi\) |
0.993007 | − | 0.118056i | \(-0.0376663\pi\) | |||||||
\(230\) | 0.713505 | − | 1.47350i | 0.0470471 | − | 0.0971595i | ||||
\(231\) | −4.13703 | + | 1.13335i | −0.272196 | + | 0.0745688i | ||||
\(232\) | −10.6246 | − | 1.19711i | −0.697540 | − | 0.0785939i | ||||
\(233\) | 5.79273 | + | 10.9604i | 0.379495 | + | 0.718039i | 0.997686 | − | 0.0679886i | \(-0.0216582\pi\) |
−0.618191 | + | 0.786028i | \(0.712134\pi\) | |||||||
\(234\) | 1.72455 | − | 4.39407i | 0.112737 | − | 0.287250i | ||||
\(235\) | 4.80994 | − | 9.05369i | 0.313766 | − | 0.590598i | ||||
\(236\) | −2.65250 | + | 1.04103i | −0.172663 | + | 0.0677652i | ||||
\(237\) | −10.7257 | − | 3.75308i | −0.696708 | − | 0.243789i | ||||
\(238\) | 2.28423 | + | 0.507938i | 0.148065 | + | 0.0329247i | ||||
\(239\) | −9.05230 | + | 18.7973i | −0.585544 | + | 1.21590i | 0.372167 | + | 0.928166i | \(0.378615\pi\) |
−0.957712 | + | 0.287730i | \(0.907100\pi\) | |||||||
\(240\) | 1.88344 | + | 1.39631i | 0.121576 | + | 0.0901314i | ||||
\(241\) | −0.0435302 | − | 0.141121i | −0.00280403 | − | 0.00909043i | 0.954160 | − | 0.299297i | \(-0.0967522\pi\) |
−0.956964 | + | 0.290207i | \(0.906276\pi\) | |||||||
\(242\) | −8.45908 | + | 1.60055i | −0.543771 | + | 0.102887i | ||||
\(243\) | −9.34938 | + | 12.6680i | −0.599763 | + | 0.812650i | ||||
\(244\) | −1.97862 | −0.126668 | ||||||||
\(245\) | −13.6256 | − | 7.70344i | −0.870508 | − | 0.492155i | ||||
\(246\) | −2.86702 | −0.182795 | ||||||||
\(247\) | −4.76768 | + | 6.45998i | −0.303360 | + | 0.411039i | ||||
\(248\) | −1.21660 | + | 0.230192i | −0.0772539 | + | 0.0146172i | ||||
\(249\) | 1.29583 | + | 4.20096i | 0.0821196 | + | 0.266225i | ||||
\(250\) | 10.9718 | + | 2.14935i | 0.693917 | + | 0.135937i | ||||
\(251\) | 11.4116 | − | 23.6963i | 0.720291 | − | 1.49570i | −0.142314 | − | 0.989822i | \(-0.545454\pi\) |
0.862605 | − | 0.505878i | \(-0.168831\pi\) | |||||||
\(252\) | −2.15641 | + | 4.54265i | −0.135841 | + | 0.286160i | ||||
\(253\) | 1.06856 | + | 0.373904i | 0.0671796 | + | 0.0235072i | ||||
\(254\) | 3.17228 | − | 1.24503i | 0.199046 | − | 0.0781200i | ||||
\(255\) | 0.606959 | + | 1.98283i | 0.0380092 | + | 0.124170i | ||||
\(256\) | 0.365341 | − | 0.930874i | 0.0228338 | − | 0.0581796i | ||||
\(257\) | 0.0671292 | + | 0.127015i | 0.00418741 | + | 0.00792296i | 0.886200 | − | 0.463302i | \(-0.153336\pi\) |
−0.882013 | + | 0.471225i | \(0.843812\pi\) | |||||||
\(258\) | 5.33526 | + | 0.601139i | 0.332159 | + | 0.0374253i | ||||
\(259\) | −8.37358 | − | 6.10795i | −0.520309 | − | 0.379529i | ||||
\(260\) | 5.24586 | − | 1.82296i | 0.325334 | − | 0.113055i | ||||
\(261\) | 16.7898 | − | 11.4471i | 1.03927 | − | 0.708559i | ||||
\(262\) | −11.0472 | − | 0.413355i | −0.682495 | − | 0.0255372i | ||||
\(263\) | −5.98381 | + | 22.3319i | −0.368977 | + | 1.37704i | 0.492971 | + | 0.870046i | \(0.335911\pi\) |
−0.861948 | + | 0.506996i | \(0.830756\pi\) | |||||||
\(264\) | −0.810632 | + | 1.40406i | −0.0498909 | + | 0.0864136i | ||||
\(265\) | 0.712277 | − | 2.02162i | 0.0437549 | − | 0.124187i | ||||
\(266\) | 5.54261 | − | 6.51396i | 0.339839 | − | 0.399396i | ||||
\(267\) | −0.477915 | − | 0.760597i | −0.0292479 | − | 0.0465478i | ||||
\(268\) | −0.341238 | − | 9.11977i | −0.0208444 | − | 0.557079i | ||||
\(269\) | 9.94988 | + | 1.49970i | 0.606655 | + | 0.0914385i | 0.445184 | − | 0.895439i | \(-0.353138\pi\) |
0.161471 | + | 0.986878i | \(0.448376\pi\) | |||||||
\(270\) | −11.4595 | + | 0.834005i | −0.697403 | + | 0.0507559i | ||||
\(271\) | −13.5192 | + | 14.5702i | −0.821231 | + | 0.885077i | −0.995017 | − | 0.0997065i | \(-0.968210\pi\) |
0.173785 | + | 0.984784i | \(0.444400\pi\) | |||||||
\(272\) | 0.748882 | − | 0.470554i | 0.0454076 | − | 0.0285315i | ||||
\(273\) | −3.47829 | − | 5.94752i | −0.210516 | − | 0.359960i | ||||
\(274\) | −16.4372 | + | 3.75169i | −0.993008 | + | 0.226648i | ||||
\(275\) | −0.610888 | + | 7.70698i | −0.0368379 | + | 0.464748i | ||||
\(276\) | −0.664837 | + | 0.383844i | −0.0400185 | + | 0.0231047i | ||||
\(277\) | 0.666499 | − | 17.8126i | 0.0400461 | − | 1.07025i | −0.823921 | − | 0.566705i | \(-0.808218\pi\) |
0.863967 | − | 0.503549i | \(-0.167972\pi\) | |||||||
\(278\) | −3.58237 | + | 18.9333i | −0.214856 | + | 1.13554i | ||||
\(279\) | 1.46724 | − | 1.83987i | 0.0878416 | − | 0.110150i | ||||
\(280\) | −5.70919 | + | 1.55086i | −0.341189 | + | 0.0926816i | ||||
\(281\) | 8.65897 | + | 10.8580i | 0.516551 | + | 0.647735i | 0.969873 | − | 0.243613i | \(-0.0783325\pi\) |
−0.453322 | + | 0.891347i | \(0.649761\pi\) | |||||||
\(282\) | −4.25025 | + | 2.24632i | −0.253099 | + | 0.133767i | ||||
\(283\) | 11.1975 | + | 25.6650i | 0.665624 | + | 1.52563i | 0.840948 | + | 0.541117i | \(0.181998\pi\) |
−0.175323 | + | 0.984511i | \(0.556097\pi\) | |||||||
\(284\) | 4.00001 | − | 0.299759i | 0.237357 | − | 0.0177874i | ||||
\(285\) | 7.44412 | + | 1.42508i | 0.440952 | + | 0.0844147i | ||||
\(286\) | 1.66623 | + | 3.45996i | 0.0985263 | + | 0.204592i | ||||
\(287\) | 4.47885 | − | 5.68119i | 0.264378 | − | 0.335350i | ||||
\(288\) | 0.627726 | + | 1.79394i | 0.0369891 | + | 0.105709i | ||||
\(289\) | −16.1724 | − | 1.21195i | −0.951318 | − | 0.0712914i | ||||
\(290\) | 23.0797 | + | 6.23739i | 1.35529 | + | 0.366272i | ||||
\(291\) | −12.8920 | − | 8.78959i | −0.755740 | − | 0.515255i | ||||
\(292\) | −5.56662 | − | 4.10835i | −0.325762 | − | 0.240423i | ||||
\(293\) | −17.6422 | + | 17.6422i | −1.03067 | + | 1.03067i | −0.0311513 | + | 0.999515i | \(0.509917\pi\) |
−0.999515 | + | 0.0311513i | \(0.990083\pi\) | |||||||
\(294\) | 3.25833 | + | 6.57680i | 0.190030 | + | 0.383567i | ||||
\(295\) | 6.21490 | − | 1.40446i | 0.361845 | − | 0.0817709i | ||||
\(296\) | −3.87368 | + | 0.583863i | −0.225153 | + | 0.0339363i | ||||
\(297\) | −1.47710 | − | 7.80664i | −0.0857098 | − | 0.452987i | ||||
\(298\) | 5.06414 | + | 2.67648i | 0.293358 | + | 0.155044i | ||||
\(299\) | −0.135890 | + | 1.81333i | −0.00785874 | + | 0.104868i | ||||
\(300\) | −3.69113 | − | 3.72300i | −0.213108 | − | 0.214948i | ||||
\(301\) | −9.52592 | + | 9.63306i | −0.549065 | + | 0.555240i | ||||
\(302\) | −2.83615 | + | 8.10526i | −0.163202 | + | 0.466405i | ||||
\(303\) | 1.06620 | − | 2.44376i | 0.0612516 | − | 0.140390i | ||||
\(304\) | −0.241580 | − | 3.22366i | −0.0138555 | − | 0.184889i | ||||
\(305\) | 4.37348 | + | 0.668813i | 0.250425 | + | 0.0382961i | ||||
\(306\) | −0.495475 | + | 1.60629i | −0.0283244 | + | 0.0918255i | ||||
\(307\) | −1.67911 | + | 14.9025i | −0.0958317 | + | 0.850530i | 0.850201 | + | 0.526458i | \(0.176480\pi\) |
−0.946033 | + | 0.324071i | \(0.894948\pi\) | |||||||
\(308\) | −1.51586 | − | 3.79973i | −0.0863742 | − | 0.216510i | ||||
\(309\) | −7.10167 | − | 5.66339i | −0.404000 | − | 0.322179i | ||||
\(310\) | 2.76694 | − | 0.0975760i | 0.157151 | − | 0.00554195i | ||||
\(311\) | 14.1539 | + | 15.2542i | 0.802592 | + | 0.864989i | 0.993169 | − | 0.116683i | \(-0.0372263\pi\) |
−0.190577 | + | 0.981672i | \(0.561036\pi\) | |||||||
\(312\) | −2.51542 | − | 0.674006i | −0.142408 | − | 0.0381581i | ||||
\(313\) | 0.495995 | + | 1.85108i | 0.0280353 | + | 0.104629i | 0.978526 | − | 0.206125i | \(-0.0660852\pi\) |
−0.950490 | + | 0.310754i | \(0.899419\pi\) | |||||||
\(314\) | 0.145409 | + | 0.637078i | 0.00820590 | + | 0.0359524i | ||||
\(315\) | 6.30198 | − | 9.31202i | 0.355076 | − | 0.524673i | ||||
\(316\) | 2.41156 | − | 10.5657i | 0.135661 | − | 0.594369i | ||||
\(317\) | −28.2350 | + | 1.05648i | −1.58584 | + | 0.0593379i | −0.815676 | − | 0.578510i | \(-0.803635\pi\) |
−0.770163 | + | 0.637847i | \(0.779825\pi\) | |||||||
\(318\) | −0.808691 | + | 0.596841i | −0.0453492 | + | 0.0334692i | ||||
\(319\) | −2.46397 | + | 16.3474i | −0.137956 | + | 0.915278i | ||||
\(320\) | −1.12219 | + | 1.93408i | −0.0627325 | + | 0.108119i | ||||
\(321\) | −17.7439 | − | 4.04993i | −0.990369 | − | 0.226045i | ||||
\(322\) | 0.277995 | − | 1.91706i | 0.0154920 | − | 0.106834i | ||||
\(323\) | 1.52116 | − | 2.42091i | 0.0846394 | − | 0.134703i | ||||
\(324\) | −0.271952 | − | 0.157011i | −0.0151084 | − | 0.00872286i | ||||
\(325\) | −12.2115 | + | 2.25621i | −0.677372 | + | 0.125152i | ||||
\(326\) | −10.2209 | + | 9.48359i | −0.566082 | + | 0.525248i | ||||
\(327\) | 12.7852 | + | 2.41909i | 0.707022 | + | 0.133776i | ||||
\(328\) | −0.306148 | − | 2.71714i | −0.0169042 | − | 0.150029i | ||||
\(329\) | 2.18849 | − | 11.9314i | 0.120656 | − | 0.657797i | ||||
\(330\) | 2.26640 | − | 2.82947i | 0.124761 | − | 0.155757i | ||||
\(331\) | −17.8245 | − | 5.49812i | −0.979721 | − | 0.302204i | −0.236782 | − | 0.971563i | \(-0.576093\pi\) |
−0.742939 | + | 0.669359i | \(0.766569\pi\) | |||||||
\(332\) | −3.84297 | + | 1.67667i | −0.210911 | + | 0.0920194i | ||||
\(333\) | 4.85657 | − | 5.64343i | 0.266138 | − | 0.309258i | ||||
\(334\) | −3.39067 | − | 8.63928i | −0.185529 | − | 0.472720i | ||||
\(335\) | −2.32841 | + | 20.2734i | −0.127215 | + | 1.10766i | ||||
\(336\) | 2.62355 | + | 0.901583i | 0.143126 | + | 0.0491854i | ||||
\(337\) | 10.1571 | − | 3.55411i | 0.553291 | − | 0.193605i | −0.0391290 | − | 0.999234i | \(-0.512458\pi\) |
0.592420 | + | 0.805629i | \(0.298173\pi\) | |||||||
\(338\) | 5.17813 | − | 4.45614i | 0.281653 | − | 0.242382i | ||||
\(339\) | 17.9230 | − | 5.52851i | 0.973443 | − | 0.300267i | ||||
\(340\) | −1.81436 | + | 0.786961i | −0.0983977 | + | 0.0426789i | ||||
\(341\) | 0.285343 | + | 1.89313i | 0.0154522 | + | 0.102519i | ||||
\(342\) | 4.34449 | + | 4.34449i | 0.234923 | + | 0.234923i | ||||
\(343\) | −18.1225 | − | 3.81765i | −0.978524 | − | 0.206134i | ||||
\(344\) | 5.12053i | 0.276081i | ||||||||
\(345\) | 1.59928 | − | 0.623709i | 0.0861026 | − | 0.0335794i | ||||
\(346\) | −10.4252 | + | 15.2909i | −0.560460 | + | 0.822044i | ||||
\(347\) | 15.4953 | − | 29.3186i | 0.831833 | − | 1.57390i | 0.0129694 | − | 0.999916i | \(-0.495872\pi\) |
0.818863 | − | 0.573988i | \(-0.194605\pi\) | |||||||
\(348\) | −7.31259 | − | 8.49738i | −0.391996 | − | 0.455507i | ||||
\(349\) | 19.1892 | + | 9.24103i | 1.02717 | + | 0.494661i | 0.870074 | − | 0.492921i | \(-0.164071\pi\) |
0.157101 | + | 0.987583i | \(0.449785\pi\) | |||||||
\(350\) | 13.1437 | − | 1.49815i | 0.702558 | − | 0.0800795i | ||||
\(351\) | 11.4981 | − | 5.53719i | 0.613722 | − | 0.295553i | ||||
\(352\) | −1.41722 | − | 0.618325i | −0.0755379 | − | 0.0329568i | ||||
\(353\) | 10.6352 | + | 9.15237i | 0.566057 | + | 0.487131i | 0.888136 | − | 0.459582i | \(-0.152001\pi\) |
−0.322079 | + | 0.946713i | \(0.604382\pi\) | |||||||
\(354\) | −2.78122 | − | 1.09155i | −0.147820 | − | 0.0580151i | ||||
\(355\) | −8.94282 | − | 0.689506i | −0.474636 | − | 0.0365952i | ||||
\(356\) | 0.669802 | − | 0.534149i | 0.0354994 | − | 0.0283098i | ||||
\(357\) | 1.39346 | + | 2.01948i | 0.0737500 | + | 0.106882i | ||||
\(358\) | 17.1394 | − | 1.93115i | 0.905847 | − | 0.102064i | ||||
\(359\) | −7.10951 | − | 10.4277i | −0.375225 | − | 0.550354i | 0.591456 | − | 0.806337i | \(-0.298553\pi\) |
−0.966681 | + | 0.255983i | \(0.917601\pi\) | |||||||
\(360\) | −0.781119 | − | 4.17745i | −0.0411686 | − | 0.220171i | ||||
\(361\) | 4.27484 | + | 7.40425i | 0.224992 | + | 0.389697i | ||||
\(362\) | 21.9611 | − | 5.88446i | 1.15425 | − | 0.309280i | ||||
\(363\) | −7.64334 | − | 4.80263i | −0.401171 | − | 0.252072i | ||||
\(364\) | 5.26517 | − | 3.93155i | 0.275970 | − | 0.206069i | ||||
\(365\) | 10.9156 | + | 10.9626i | 0.571348 | + | 0.573809i | ||||
\(366\) | −1.52081 | − | 1.41111i | −0.0794942 | − | 0.0737598i | ||||
\(367\) | 0.478037 | + | 0.647717i | 0.0249533 | + | 0.0338105i | 0.816897 | − | 0.576784i | \(-0.195693\pi\) |
−0.791944 | + | 0.610594i | \(0.790931\pi\) | |||||||
\(368\) | −0.434771 | − | 0.589093i | −0.0226640 | − | 0.0307086i | ||||
\(369\) | 3.80956 | + | 3.53475i | 0.198318 | + | 0.184012i | ||||
\(370\) | 8.75962 | + | 0.0188290i | 0.455391 | + | 0.000978872i | ||||
\(371\) | 0.0806548 | − | 2.53486i | 0.00418739 | − | 0.131603i | ||||
\(372\) | −1.09927 | − | 0.690719i | −0.0569947 | − | 0.0358121i | ||||
\(373\) | 9.21353 | − | 2.46876i | 0.477059 | − | 0.127827i | −0.0122741 | − | 0.999925i | \(-0.503907\pi\) |
0.489333 | + | 0.872097i | \(0.337240\pi\) | |||||||
\(374\) | −0.683778 | − | 1.18434i | −0.0353573 | − | 0.0612407i | ||||
\(375\) | 6.90032 | + | 9.47690i | 0.356331 | + | 0.489385i | ||||
\(376\) | −2.58274 | − | 3.78819i | −0.133195 | − | 0.195361i | ||||
\(377\) | −26.3877 | + | 2.97317i | −1.35903 | + | 0.153126i | ||||
\(378\) | −12.6272 | + | 5.03748i | −0.649473 | + | 0.259100i | ||||
\(379\) | 14.3243 | − | 11.4233i | 0.735791 | − | 0.586774i | −0.182253 | − | 0.983252i | \(-0.558339\pi\) |
0.918044 | + | 0.396478i | \(0.129768\pi\) | |||||||
\(380\) | −0.555681 | + | 7.20713i | −0.0285059 | + | 0.369718i | ||||
\(381\) | 3.32622 | + | 1.30544i | 0.170407 | + | 0.0668800i | ||||
\(382\) | −3.75457 | − | 3.23107i | −0.192100 | − | 0.165316i | ||||
\(383\) | 9.95612 | + | 4.34381i | 0.508734 | + | 0.221958i | 0.638551 | − | 0.769580i | \(-0.279534\pi\) |
−0.129817 | + | 0.991538i | \(0.541439\pi\) | |||||||
\(384\) | 0.944690 | − | 0.454939i | 0.0482085 | − | 0.0232160i | ||||
\(385\) | 2.06623 | + | 8.91121i | 0.105305 | + | 0.454157i | ||||
\(386\) | −6.98866 | − | 3.36556i | −0.355714 | − | 0.171303i | ||||
\(387\) | −6.34809 | − | 7.37661i | −0.322691 | − | 0.374974i | ||||
\(388\) | 6.95345 | − | 13.1566i | 0.353008 | − | 0.667924i | ||||
\(389\) | 9.72718 | − | 14.2672i | 0.493188 | − | 0.723373i | −0.496274 | − | 0.868166i | \(-0.665299\pi\) |
0.989462 | + | 0.144792i | \(0.0462514\pi\) | |||||||
\(390\) | 5.33219 | + | 2.34007i | 0.270006 | + | 0.118494i | ||||
\(391\) | − | 0.647555i | − | 0.0327483i | ||||||
\(392\) | −5.88505 | + | 3.79028i | −0.297240 | + | 0.191438i | ||||
\(393\) | −8.19632 | − | 8.19632i | −0.413450 | − | 0.413450i | ||||
\(394\) | −3.34579 | − | 22.1978i | −0.168558 | − | 1.11831i | ||||
\(395\) | −8.90188 | + | 22.5390i | −0.447902 | + | 1.13406i | ||||
\(396\) | 2.80819 | − | 0.866212i | 0.141117 | − | 0.0435288i | ||||
\(397\) | 3.47897 | − | 2.99390i | 0.174605 | − | 0.150259i | −0.560644 | − | 0.828057i | \(-0.689446\pi\) |
0.735249 | + | 0.677798i | \(0.237065\pi\) | |||||||
\(398\) | −11.0245 | + | 3.85763i | −0.552606 | + | 0.193365i | ||||
\(399\) | 8.90581 | − | 1.05391i | 0.445848 | − | 0.0527616i | ||||
\(400\) | 3.13423 | − | 3.89572i | 0.156711 | − | 0.194786i | ||||
\(401\) | 2.87780 | + | 7.33252i | 0.143711 | + | 0.366168i | 0.984547 | − | 0.175121i | \(-0.0560316\pi\) |
−0.840836 | + | 0.541289i | \(0.817936\pi\) | |||||||
\(402\) | 6.24175 | − | 7.25304i | 0.311310 | − | 0.361749i | ||||
\(403\) | −2.81860 | + | 1.22974i | −0.140405 | + | 0.0612579i | ||||
\(404\) | 2.42986 | + | 0.749511i | 0.120890 | + | 0.0372896i | ||||
\(405\) | 0.548042 | + | 0.438979i | 0.0272324 | + | 0.0218130i | ||||
\(406\) | 28.2618 | − | 1.21579i | 1.40261 | − | 0.0603386i | ||||
\(407\) | 0.678197 | + | 6.01916i | 0.0336170 | + | 0.298359i | ||||
\(408\) | 0.911198 | + | 0.172408i | 0.0451110 | + | 0.00853547i | ||||
\(409\) | −1.74380 | + | 1.61801i | −0.0862254 | + | 0.0800055i | −0.722108 | − | 0.691780i | \(-0.756827\pi\) |
0.635883 | + | 0.771786i | \(0.280636\pi\) | |||||||
\(410\) | −0.241748 | + | 6.10937i | −0.0119391 | + | 0.301720i | ||||
\(411\) | −15.3097 | − | 8.83904i | −0.755170 | − | 0.435998i | ||||
\(412\) | 4.60899 | − | 7.33516i | 0.227069 | − | 0.361378i | ||||
\(413\) | 6.50778 | − | 3.80595i | 0.320227 | − | 0.187279i | ||||
\(414\) | 1.35665 | + | 0.309646i | 0.0666755 | + | 0.0152183i | ||||
\(415\) | 9.06115 | − | 2.40706i | 0.444794 | − | 0.118158i | ||||
\(416\) | 0.370167 | − | 2.45589i | 0.0181489 | − | 0.120410i | ||||
\(417\) | −16.2563 | + | 11.9977i | −0.796075 | + | 0.587530i | ||||
\(418\) | −4.99499 | + | 0.186899i | −0.244313 | + | 0.00914155i | ||||
\(419\) | 5.59362 | − | 24.5073i | 0.273266 | − | 1.19726i | −0.632865 | − | 0.774262i | \(-0.718121\pi\) |
0.906132 | − | 0.422996i | \(-0.139022\pi\) | |||||||
\(420\) | −5.49426 | − | 2.87965i | −0.268093 | − | 0.140512i | ||||
\(421\) | 7.49676 | + | 32.8454i | 0.365370 | + | 1.60079i | 0.739330 | + | 0.673344i | \(0.235143\pi\) |
−0.373960 | + | 0.927445i | \(0.622000\pi\) | |||||||
\(422\) | −2.61260 | − | 9.75037i | −0.127180 | − | 0.474640i | ||||
\(423\) | 8.41703 | + | 2.25534i | 0.409250 | + | 0.109658i | ||||
\(424\) | −0.651994 | − | 0.702683i | −0.0316636 | − | 0.0341253i | ||||
\(425\) | 4.27643 | − | 1.12618i | 0.207437 | − | 0.0546279i | ||||
\(426\) | 3.28828 | + | 2.62232i | 0.159318 | + | 0.127052i | ||||
\(427\) | 5.17201 | − | 0.809162i | 0.250291 | − | 0.0391581i | ||||
\(428\) | 1.94347 | − | 17.2488i | 0.0939412 | − | 0.833751i | ||||
\(429\) | −1.18687 | + | 3.84773i | −0.0573026 | + | 0.185770i | ||||
\(430\) | 1.73085 | − | 11.3183i | 0.0834688 | − | 0.545816i | ||||
\(431\) | −3.01297 | − | 40.2053i | −0.145130 | − | 1.93662i | −0.310874 | − | 0.950451i | \(-0.600622\pi\) |
0.165744 | − | 0.986169i | \(-0.446997\pi\) | |||||||
\(432\) | −2.05481 | + | 4.70966i | −0.0988619 | + | 0.226594i | ||||
\(433\) | −10.0859 | + | 28.8240i | −0.484700 | + | 1.38519i | 0.398920 | + | 0.916986i | \(0.369385\pi\) |
−0.883619 | + | 0.468206i | \(0.844901\pi\) | |||||||
\(434\) | 3.08599 | − | 1.09924i | 0.148132 | − | 0.0527653i | ||||
\(435\) | 13.2912 | + | 21.2542i | 0.637266 | + | 1.01906i | ||||
\(436\) | −0.927387 | + | 12.3751i | −0.0444138 | + | 0.592661i | ||||
\(437\) | −2.09256 | − | 1.10595i | −0.100101 | − | 0.0529049i | ||||
\(438\) | −1.34865 | − | 7.12778i | −0.0644409 | − | 0.340578i | ||||
\(439\) | 20.3159 | − | 3.06214i | 0.969627 | − | 0.146148i | 0.354914 | − | 0.934899i | \(-0.384510\pi\) |
0.614713 | + | 0.788751i | \(0.289272\pi\) | |||||||
\(440\) | 2.92357 | + | 1.84578i | 0.139376 | + | 0.0879939i | ||||
\(441\) | 3.77903 | − | 12.7561i | 0.179954 | − | 0.607435i | ||||
\(442\) | 1.55326 | − | 1.55326i | 0.0738810 | − | 0.0738810i | ||||
\(443\) | −10.0765 | − | 7.43679i | −0.478749 | − | 0.353333i | 0.327557 | − | 0.944831i | \(-0.393775\pi\) |
−0.806306 | + | 0.591499i | \(0.798536\pi\) | |||||||
\(444\) | −3.39380 | − | 2.31386i | −0.161063 | − | 0.109811i | ||||
\(445\) | −1.66106 | + | 0.954261i | −0.0787420 | + | 0.0452363i | ||||
\(446\) | 13.5521 | + | 1.01559i | 0.641712 | + | 0.0480897i | ||||
\(447\) | 1.98362 | + | 5.66885i | 0.0938218 | + | 0.268127i | ||||
\(448\) | −0.574301 | + | 2.58267i | −0.0271332 | + | 0.122020i | ||||
\(449\) | 1.87463 | + | 3.89271i | 0.0884692 | + | 0.183708i | 0.940509 | − | 0.339769i | \(-0.110349\pi\) |
−0.852040 | + | 0.523477i | \(0.824635\pi\) | |||||||
\(450\) | 0.314499 | + | 9.49775i | 0.0148256 | + | 0.447728i | ||||
\(451\) | −4.21608 | + | 0.315952i | −0.198528 | + | 0.0148776i | ||||
\(452\) | 7.15335 | + | 16.3957i | 0.336465 | + | 0.771187i | ||||
\(453\) | −7.96044 | + | 4.20721i | −0.374014 | + | 0.197672i | ||||
\(454\) | 16.0653 | + | 20.1453i | 0.753984 | + | 0.945466i | ||||
\(455\) | −12.9669 | + | 6.91044i | −0.607899 | + | 0.323966i | ||||
\(456\) | 2.11336 | − | 2.65007i | 0.0989672 | − | 0.124101i | ||||
\(457\) | 4.78284 | − | 25.2779i | 0.223732 | − | 1.18245i | −0.672920 | − | 0.739715i | \(-0.734960\pi\) |
0.896652 | − | 0.442737i | \(-0.145992\pi\) | |||||||
\(458\) | −1.00374 | + | 26.8256i | −0.0469019 | + | 1.25348i | ||||
\(459\) | −3.93577 | + | 2.27232i | −0.183706 | + | 0.106063i | ||||
\(460\) | 0.761879 | + | 1.44908i | 0.0355228 | + | 0.0675635i | ||||
\(461\) | 41.1371 | − | 9.38928i | 1.91595 | − | 0.437303i | 0.916655 | − | 0.399678i | \(-0.130878\pi\) |
0.999292 | − | 0.0376242i | \(-0.0119790\pi\) | |||||||
\(462\) | 1.54476 | − | 4.00165i | 0.0718688 | − | 0.186173i | ||||
\(463\) | 21.0747 | − | 13.2421i | 0.979426 | − | 0.615414i | 0.0556921 | − | 0.998448i | \(-0.482263\pi\) |
0.923734 | + | 0.383034i | \(0.125121\pi\) | |||||||
\(464\) | 7.27230 | − | 7.83767i | 0.337608 | − | 0.363855i | ||||
\(465\) | 2.19632 | + | 1.89832i | 0.101852 | + | 0.0880326i | ||||
\(466\) | −12.2585 | − | 1.84768i | −0.567866 | − | 0.0855921i | ||||
\(467\) | 0.0713593 | + | 1.90712i | 0.00330211 | + | 0.0882509i | 0.999977 | + | 0.00677071i | \(0.00215520\pi\) |
−0.996675 | + | 0.0814802i | \(0.974035\pi\) | |||||||
\(468\) | 2.51139 | + | 3.99686i | 0.116089 | + | 0.184755i | ||||
\(469\) | 4.62154 | + | 23.6991i | 0.213403 | + | 1.09432i | ||||
\(470\) | 4.42834 | + | 9.24633i | 0.204264 | + | 0.426501i | ||||
\(471\) | −0.342586 | + | 0.593377i | −0.0157855 | + | 0.0273414i | ||||
\(472\) | 0.737498 | − | 2.75238i | 0.0339461 | − | 0.126688i | ||||
\(473\) | 7.91198 | + | 0.296046i | 0.363793 | + | 0.0136122i | ||||
\(474\) | 9.38885 | − | 6.40121i | 0.431244 | − | 0.294017i | ||||
\(475\) | 3.66442 | − | 15.7426i | 0.168135 | − | 0.722321i | ||||
\(476\) | −1.76511 | + | 1.53626i | −0.0809036 | + | 0.0704145i | ||||
\(477\) | 1.81040 | + | 0.203983i | 0.0828924 | + | 0.00933973i | ||||
\(478\) | −9.74882 | − | 18.4457i | −0.445901 | − | 0.843685i | ||||
\(479\) | −4.68691 | + | 11.9420i | −0.214150 | + | 0.545646i | −0.997072 | − | 0.0764749i | \(-0.975633\pi\) |
0.782921 | + | 0.622121i | \(0.213729\pi\) | |||||||
\(480\) | −2.24189 | + | 0.686259i | −0.102328 | + | 0.0313233i | ||||
\(481\) | −9.05691 | + | 3.55457i | −0.412959 | + | 0.162075i | ||||
\(482\) | 0.139395 | + | 0.0487765i | 0.00634927 | + | 0.00222171i | ||||
\(483\) | 1.58088 | − | 1.27524i | 0.0719325 | − | 0.0580253i | ||||
\(484\) | 3.73538 | − | 7.75660i | 0.169790 | − | 0.352573i | ||||
\(485\) | −19.8169 | + | 26.7305i | −0.899839 | + | 1.21377i | ||||
\(486\) | −4.64076 | − | 15.0450i | −0.210509 | − | 0.682454i | ||||
\(487\) | 0.815427 | − | 0.154287i | 0.0369505 | − | 0.00699142i | −0.167403 | − | 0.985888i | \(-0.553538\pi\) |
0.204354 | + | 0.978897i | \(0.434491\pi\) | |||||||
\(488\) | 1.17494 | − | 1.59199i | 0.0531872 | − | 0.0720660i | ||||
\(489\) | −14.6195 | −0.661118 | ||||||||
\(490\) | 14.2893 | − | 6.38867i | 0.645526 | − | 0.288611i | ||||
\(491\) | −27.2719 | −1.23076 | −0.615381 | − | 0.788230i | \(-0.710998\pi\) | ||||
−0.615381 | + | 0.788230i | \(0.710998\pi\) | |||||||
\(492\) | 1.70249 | − | 2.30680i | 0.0767544 | − | 0.103998i | ||||
\(493\) | 9.29150 | − | 1.75805i | 0.418468 | − | 0.0791784i | ||||
\(494\) | −2.36654 | − | 7.67213i | −0.106476 | − | 0.345186i | ||||
\(495\) | −6.49994 | + | 0.965424i | −0.292151 | + | 0.0433926i | ||||
\(496\) | 0.537227 | − | 1.11556i | 0.0241222 | − | 0.0500902i | ||||
\(497\) | −10.3332 | + | 2.41937i | −0.463509 | + | 0.108524i | ||||
\(498\) | −4.14957 | − | 1.45200i | −0.185947 | − | 0.0650656i | ||||
\(499\) | 16.6874 | − | 6.54931i | 0.747030 | − | 0.293187i | 0.0388742 | − | 0.999244i | \(-0.487623\pi\) |
0.708155 | + | 0.706057i | \(0.249528\pi\) | |||||||
\(500\) | −8.24464 | + | 7.55155i | −0.368711 | + | 0.337716i | ||||
\(501\) | 3.55520 | − | 9.05851i | 0.158835 | − | 0.404705i | ||||
\(502\) | 12.2896 | + | 23.2531i | 0.548512 | + | 1.03784i | ||||
\(503\) | 13.7646 | + | 1.55090i | 0.613734 | + | 0.0691513i | 0.413359 | − | 0.910568i | \(-0.364355\pi\) |
0.200375 | + | 0.979719i | \(0.435784\pi\) | |||||||
\(504\) | −2.37448 | − | 4.43256i | −0.105768 | − | 0.197442i | ||||
\(505\) | −5.11753 | − | 2.47804i | −0.227727 | − | 0.110271i | ||||
\(506\) | −0.935373 | + | 0.637727i | −0.0415824 | + | 0.0283504i | ||||
\(507\) | 7.15806 | + | 0.267836i | 0.317901 | + | 0.0118950i | ||||
\(508\) | −0.882017 | + | 3.29173i | −0.0391332 | + | 0.146047i | ||||
\(509\) | 21.7332 | − | 37.6430i | 0.963308 | − | 1.66850i | 0.249214 | − | 0.968448i | \(-0.419828\pi\) |
0.714094 | − | 0.700050i | \(-0.246839\pi\) | |||||||
\(510\) | −1.95581 | − | 0.689089i | −0.0866047 | − | 0.0305134i | ||||
\(511\) | 16.2310 | + | 8.46256i | 0.718018 | + | 0.374361i | ||||
\(512\) | 0.532032 | + | 0.846724i | 0.0235127 | + | 0.0374203i | ||||
\(513\) | 0.621101 | + | 16.5993i | 0.0274223 | + | 0.732876i | ||||
\(514\) | −0.142058 | − | 0.0214119i | −0.00626593 | − | 0.000944437i | ||||
\(515\) | −12.6670 | + | 14.6555i | −0.558175 | + | 0.645799i | ||||
\(516\) | −3.65186 | + | 3.93577i | −0.160764 | + | 0.173262i | ||||
\(517\) | −6.00264 | + | 3.77171i | −0.263996 | + | 0.165880i | ||||
\(518\) | 9.88684 | − | 3.11034i | 0.434403 | − | 0.136661i | ||||
\(519\) | −18.9182 | + | 4.31795i | −0.830416 | + | 0.189537i | ||||
\(520\) | −1.64835 | + | 5.30332i | −0.0722849 | + | 0.232566i | ||||
\(521\) | −23.3794 | + | 13.4981i | −1.02427 | + | 0.591362i | −0.915337 | − | 0.402688i | \(-0.868076\pi\) |
−0.108931 | + | 0.994049i | \(0.534743\pi\) | |||||||
\(522\) | −0.759820 | + | 20.3066i | −0.0332564 | + | 0.888796i | ||||
\(523\) | 2.31262 | − | 12.2225i | 0.101124 | − | 0.534452i | −0.894968 | − | 0.446130i | \(-0.852802\pi\) |
0.996092 | − | 0.0883221i | \(-0.0281505\pi\) | |||||||
\(524\) | 6.89261 | − | 8.64306i | 0.301105 | − | 0.377574i | ||||
\(525\) | 11.1710 | + | 8.22226i | 0.487542 | + | 0.358849i | ||||
\(526\) | −14.4149 | − | 18.0757i | −0.628518 | − | 0.788137i | ||||
\(527\) | 0.968198 | − | 0.511708i | 0.0421754 | − | 0.0222903i | ||||
\(528\) | −0.648330 | − | 1.48599i | −0.0282150 | − | 0.0646694i | ||||
\(529\) | 22.4011 | − | 1.67873i | 0.973962 | − | 0.0729884i | ||||
\(530\) | 1.20363 | + | 1.77358i | 0.0522823 | + | 0.0770393i | ||||
\(531\) | 2.34978 | + | 4.87936i | 0.101972 | + | 0.211746i | ||||
\(532\) | 1.94980 | + | 8.32769i | 0.0845347 | + | 0.361051i | ||||
\(533\) | −2.24295 | − | 6.40999i | −0.0971530 | − | 0.277647i | ||||
\(534\) | 0.895770 | + | 0.0671287i | 0.0387638 | + | 0.00290494i | ||||
\(535\) | −10.1262 | + | 37.4693i | −0.437795 | + | 1.61994i | ||||
\(536\) | 7.54038 | + | 5.14095i | 0.325695 | + | 0.222055i | ||||
\(537\) | 14.5510 | + | 10.7392i | 0.627924 | + | 0.463429i | ||||
\(538\) | −7.11509 | + | 7.11509i | −0.306754 | + | 0.306754i | ||||
\(539\) | 5.51630 | + | 9.31241i | 0.237604 | + | 0.401114i | ||||
\(540\) | 6.13385 | − | 9.71554i | 0.263959 | − | 0.418090i | ||||
\(541\) | −17.2495 | + | 2.59995i | −0.741615 | + | 0.111780i | −0.508974 | − | 0.860782i | \(-0.669975\pi\) |
−0.232641 | + | 0.972563i | \(0.574737\pi\) | |||||||
\(542\) | −3.69520 | − | 19.5296i | −0.158722 | − | 0.838867i | ||||
\(543\) | 21.0765 | + | 11.1393i | 0.904479 | + | 0.478031i | ||||
\(544\) | −0.0660947 | + | 0.881973i | −0.00283379 | + | 0.0378143i | ||||
\(545\) | 6.23292 | − | 27.0401i | 0.266989 | − | 1.15827i | ||||
\(546\) | 6.85084 | + | 0.733129i | 0.293189 | + | 0.0313750i | ||||
\(547\) | 2.24969 | − | 6.42925i | 0.0961899 | − | 0.274895i | −0.885727 | − | 0.464206i | \(-0.846340\pi\) |
0.981917 | + | 0.189311i | \(0.0606255\pi\) | |||||||
\(548\) | 6.74215 | − | 15.4532i | 0.288010 | − | 0.660127i | ||||
\(549\) | 0.281026 | + | 3.75003i | 0.0119939 | + | 0.160047i | ||||
\(550\) | −5.83826 | − | 5.06808i | −0.248944 | − | 0.216104i | ||||
\(551\) | 10.1878 | − | 33.0279i | 0.434013 | − | 1.40704i | ||||
\(552\) | 0.0859538 | − | 0.762861i | 0.00365844 | − | 0.0324695i | ||||
\(553\) | −1.98282 | + | 28.6046i | −0.0843179 | + | 1.21639i | ||||
\(554\) | 13.9362 | + | 11.1137i | 0.592091 | + | 0.472177i | ||||
\(555\) | 6.71943 | + | 6.26166i | 0.285224 | + | 0.265792i | ||||
\(556\) | −13.1064 | − | 14.1253i | −0.555834 | − | 0.599047i | ||||
\(557\) | 31.0369 | + | 8.31631i | 1.31508 | + | 0.352374i | 0.847131 | − | 0.531384i | \(-0.178328\pi\) |
0.467945 | + | 0.883758i | \(0.344995\pi\) | |||||||
\(558\) | 0.609073 | + | 2.27309i | 0.0257841 | + | 0.0962276i | ||||
\(559\) | 2.82992 | + | 12.3987i | 0.119693 | + | 0.524408i | ||||
\(560\) | 2.14241 | − | 5.51453i | 0.0905335 | − | 0.233032i | ||||
\(561\) | 0.319077 | − | 1.39797i | 0.0134715 | − | 0.0590223i | ||||
\(562\) | −13.8782 | + | 0.519286i | −0.585417 | + | 0.0219047i | ||||
\(563\) | 24.0867 | − | 17.7768i | 1.01513 | − | 0.749202i | 0.0468102 | − | 0.998904i | \(-0.485094\pi\) |
0.968323 | + | 0.249702i | \(0.0803325\pi\) | |||||||
\(564\) | 0.716498 | − | 4.75366i | 0.0301700 | − | 0.200165i | ||||
\(565\) | −10.2695 | − | 38.6585i | −0.432041 | − | 1.62637i | ||||
\(566\) | −27.2993 | − | 6.23090i | −1.14748 | − | 0.261904i | ||||
\(567\) | 0.775080 | + | 0.299205i | 0.0325503 | + | 0.0125654i | ||||
\(568\) | −2.13410 | + | 3.39640i | −0.0895448 | + | 0.142510i | ||||
\(569\) | −38.2551 | − | 22.0866i | −1.60374 | − | 0.925919i | −0.990730 | − | 0.135843i | \(-0.956626\pi\) |
−0.613008 | − | 0.790076i | \(-0.710041\pi\) | |||||||
\(570\) | −5.56709 | + | 5.14328i | −0.233180 | + | 0.215428i | ||||
\(571\) | −14.8608 | + | 13.7888i | −0.621906 | + | 0.577044i | −0.926899 | − | 0.375310i | \(-0.877536\pi\) |
0.304993 | + | 0.952354i | \(0.401346\pi\) | |||||||
\(572\) | −3.77332 | − | 0.713951i | −0.157770 | − | 0.0298518i | ||||
\(573\) | −0.581523 | − | 5.16116i | −0.0242935 | − | 0.215610i | ||||
\(574\) | 1.91144 | + | 6.97728i | 0.0797819 | + | 0.291226i | ||||
\(575\) | −1.19422 | − | 3.46053i | −0.0498023 | − | 0.144314i | ||||
\(576\) | −1.81615 | − | 0.560209i | −0.0756731 | − | 0.0233420i | ||||
\(577\) | −37.9978 | + | 16.5783i | −1.58187 | + | 0.690162i | −0.993005 | − | 0.118072i | \(-0.962329\pi\) |
−0.588862 | + | 0.808233i | \(0.700424\pi\) | |||||||
\(578\) | 10.5786 | − | 12.2926i | 0.440013 | − | 0.511305i | ||||
\(579\) | −2.97141 | − | 7.57102i | −0.123488 | − | 0.314641i | ||||
\(580\) | −18.7238 | + | 14.8660i | −0.777462 | + | 0.617276i | ||||
\(581\) | 9.35968 | − | 5.95434i | 0.388305 | − | 0.247028i | ||||
\(582\) | 14.7276 | − | 5.15341i | 0.610478 | − | 0.213616i | ||||
\(583\) | −1.12344 | + | 0.966802i | −0.0465283 | + | 0.0400408i | ||||
\(584\) | 6.61114 | − | 2.03927i | 0.273571 | − | 0.0843855i | ||||
\(585\) | −4.20009 | − | 9.68344i | −0.173652 | − | 0.400361i | ||||
\(586\) | −3.71857 | − | 24.6711i | −0.153613 | − | 1.01915i | ||||
\(587\) | 2.73556 | + | 2.73556i | 0.112909 | + | 0.112909i | 0.761304 | − | 0.648395i | \(-0.224560\pi\) |
−0.648395 | + | 0.761304i | \(0.724560\pi\) | |||||||
\(588\) | −7.22654 | − | 1.28379i | −0.298018 | − | 0.0529425i | ||||
\(589\) | − | 4.00266i | − | 0.164927i | ||||||
\(590\) | −2.56050 | + | 5.83449i | −0.105414 | + | 0.240202i | ||||
\(591\) | 13.2594 | − | 19.4479i | 0.545418 | − | 0.799982i | ||||
\(592\) | 1.83049 | − | 3.46346i | 0.0752328 | − | 0.142347i | ||||
\(593\) | −2.36548 | − | 2.74874i | −0.0971388 | − | 0.112877i | 0.707298 | − | 0.706915i | \(-0.249914\pi\) |
−0.804437 | + | 0.594038i | \(0.797533\pi\) | |||||||
\(594\) | 7.15833 | + | 3.44727i | 0.293710 | + | 0.141443i | ||||
\(595\) | 4.42083 | − | 2.79907i | 0.181237 | − | 0.114751i | ||||
\(596\) | −5.16068 | + | 2.48525i | −0.211390 | + | 0.101800i | ||||
\(597\) | −11.2248 | − | 4.89735i | −0.459403 | − | 0.200435i | ||||
\(598\) | −1.37831 | − | 1.18613i | −0.0563632 | − | 0.0485044i | ||||
\(599\) | −17.4318 | − | 6.84148i | −0.712244 | − | 0.279535i | −0.0185735 | − | 0.999827i | \(-0.505912\pi\) |
−0.693671 | + | 0.720292i | \(0.744008\pi\) | |||||||
\(600\) | 5.18739 | − | 0.759080i | 0.211774 | − | 0.0309893i | ||||
\(601\) | 11.8075 | − | 9.41614i | 0.481637 | − | 0.384092i | −0.352358 | − | 0.935865i | \(-0.614620\pi\) |
0.833994 | + | 0.551773i | \(0.186049\pi\) | |||||||
\(602\) | −2.09406 | − | 13.3848i | −0.0853475 | − | 0.545525i | ||||
\(603\) | −17.2360 | + | 1.94203i | −0.701905 | + | 0.0790857i | ||||
\(604\) | −4.83731 | − | 7.09503i | −0.196827 | − | 0.288693i | ||||
\(605\) | −10.8785 | + | 15.8823i | −0.442273 | + | 0.645708i | ||||
\(606\) | 1.33311 | + | 2.30901i | 0.0541539 | + | 0.0937973i | ||||
\(607\) | −26.4457 | + | 7.08610i | −1.07340 | + | 0.287616i | −0.751888 | − | 0.659291i | \(-0.770857\pi\) |
−0.321509 | + | 0.946906i | \(0.604190\pi\) | |||||||
\(608\) | 2.73720 | + | 1.71990i | 0.111008 | + | 0.0697510i | ||||
\(609\) | 22.5898 | + | 19.2213i | 0.915385 | + | 0.778884i | ||||
\(610\) | −3.13519 | + | 3.12174i | −0.126940 | + | 0.126395i | ||||
\(611\) | −8.34735 | − | 7.74521i | −0.337698 | − | 0.313338i | ||||
\(612\) | −0.998194 | − | 1.35251i | −0.0403496 | − | 0.0546718i | ||||
\(613\) | −1.84323 | − | 2.49748i | −0.0744472 | − | 0.100872i | 0.765792 | − | 0.643089i | \(-0.222347\pi\) |
−0.840239 | + | 0.542216i | \(0.817585\pi\) | |||||||
\(614\) | −10.9934 | − | 10.2004i | −0.443658 | − | 0.411655i | ||||
\(615\) | −4.54289 | + | 4.52340i | −0.183187 | + | 0.182401i | ||||
\(616\) | 3.95740 | + | 1.03670i | 0.159448 | + | 0.0417698i | ||||
\(617\) | −1.41661 | − | 0.890113i | −0.0570304 | − | 0.0358346i | 0.503215 | − | 0.864161i | \(-0.332150\pi\) |
−0.560245 | + | 0.828327i | \(0.689293\pi\) | |||||||
\(618\) | 8.77387 | − | 2.35095i | 0.352937 | − | 0.0945691i | ||||
\(619\) | −18.3800 | − | 31.8351i | −0.738754 | − | 1.27956i | −0.953057 | − | 0.302792i | \(-0.902081\pi\) |
0.214303 | − | 0.976767i | \(-0.431252\pi\) | |||||||
\(620\) | −1.56455 | + | 2.28421i | −0.0628340 | + | 0.0917362i | ||||
\(621\) | 2.11928 | + | 3.10841i | 0.0850438 | + | 0.124736i | ||||
\(622\) | −20.6784 | + | 2.32989i | −0.829128 | + | 0.0934203i | ||||
\(623\) | −1.53239 | + | 1.67016i | −0.0613939 | + | 0.0669135i | ||||
\(624\) | 2.03601 | − | 1.62367i | 0.0815057 | − | 0.0649986i | ||||
\(625\) | 20.7763 | − | 13.9049i | 0.831052 | − | 0.556195i | ||||
\(626\) | −1.78390 | − | 0.700131i | −0.0712991 | − | 0.0279829i | ||||
\(627\) | −3.97257 | − | 3.41867i | −0.158649 | − | 0.136529i | ||||
\(628\) | −0.598939 | − | 0.261314i | −0.0239003 | − | 0.0104276i | ||||
\(629\) | 3.12164 | − | 1.50330i | 0.124468 | − | 0.0599406i | ||||
\(630\) | 3.75019 | + | 10.6002i | 0.149411 | + | 0.422323i | ||||
\(631\) | −5.26470 | − | 2.53535i | −0.209585 | − | 0.100931i | 0.326147 | − | 0.945319i | \(-0.394250\pi\) |
−0.535731 | + | 0.844389i | \(0.679964\pi\) | |||||||
\(632\) | 7.06913 | + | 8.21448i | 0.281195 | + | 0.326755i | ||||
\(633\) | 4.94565 | − | 9.35763i | 0.196572 | − | 0.371932i | ||||
\(634\) | 15.9165 | − | 23.3452i | 0.632125 | − | 0.927157i | ||||
\(635\) | 3.06226 | − | 6.97781i | 0.121522 | − | 0.276906i | ||||
\(636\) | − | 1.00509i | − | 0.0398543i | ||||||
\(637\) | −12.1551 | + | 12.4301i | −0.481603 | + | 0.492498i | ||||
\(638\) | −11.6899 | − | 11.6899i | −0.462808 | − | 0.462808i | ||||
\(639\) | −1.13625 | − | 7.53854i | −0.0449495 | − | 0.298220i | ||||
\(640\) | −0.889778 | − | 2.05141i | −0.0351716 | − | 0.0810892i | ||||
\(641\) | 23.5907 | − | 7.27676i | 0.931775 | − | 0.287415i | 0.208538 | − | 0.978014i | \(-0.433130\pi\) |
0.723237 | + | 0.690600i | \(0.242653\pi\) | |||||||
\(642\) | 13.7953 | − | 11.8718i | 0.544456 | − | 0.468542i | ||||
\(643\) | −41.8743 | + | 14.6524i | −1.65136 | + | 0.577836i | −0.985713 | − | 0.168432i | \(-0.946130\pi\) |
−0.665646 | + | 0.746268i | \(0.731844\pi\) | |||||||
\(644\) | 1.37738 | + | 1.36206i | 0.0542765 | + | 0.0536728i | ||||
\(645\) | 9.40233 | − | 7.46510i | 0.370217 | − | 0.293938i | ||||
\(646\) | 1.04456 | + | 2.66150i | 0.0410978 | + | 0.104715i | ||||
\(647\) | −8.09680 | + | 9.40865i | −0.318318 | + | 0.369892i | −0.894221 | − | 0.447626i | \(-0.852270\pi\) |
0.575903 | + | 0.817518i | \(0.304651\pi\) | |||||||
\(648\) | 0.287822 | − | 0.125575i | 0.0113067 | − | 0.00493306i | ||||
\(649\) | −4.21020 | − | 1.29867i | −0.165265 | − | 0.0509774i | ||||
\(650\) | 5.43609 | − | 11.1651i | 0.213221 | − | 0.437932i | ||||
\(651\) | 3.15592 | + | 1.35596i | 0.123690 | + | 0.0531441i | ||||
\(652\) | −1.56111 | − | 13.8552i | −0.0611378 | − | 0.542613i | ||||
\(653\) | 12.5578 | + | 2.37606i | 0.491425 | + | 0.0929826i | 0.425717 | − | 0.904856i | \(-0.360022\pi\) |
0.0657077 | + | 0.997839i | \(0.479070\pi\) | |||||||
\(654\) | −9.53849 | + | 8.85043i | −0.372985 | + | 0.346079i | ||||
\(655\) | −18.1568 | + | 16.7745i | −0.709443 | + | 0.655435i | ||||
\(656\) | 2.36800 | + | 1.36717i | 0.0924549 | + | 0.0533789i | ||||
\(657\) | −6.99583 | + | 11.1338i | −0.272933 | + | 0.434371i | ||||
\(658\) | 8.30037 | + | 8.84594i | 0.323582 | + | 0.344850i | ||||
\(659\) | −7.52147 | − | 1.71673i | −0.292995 | − | 0.0668742i | 0.0734969 | − | 0.997295i | \(-0.476584\pi\) |
−0.366492 | + | 0.930421i | \(0.619441\pi\) | |||||||
\(660\) | 0.930756 | + | 3.50374i | 0.0362296 | + | 0.136383i | ||||
\(661\) | −2.56494 | + | 17.0173i | −0.0997646 | + | 0.661895i | 0.881923 | + | 0.471394i | \(0.156249\pi\) |
−0.981687 | + | 0.190500i | \(0.938989\pi\) | |||||||
\(662\) | 15.0083 | − | 11.0766i | 0.583314 | − | 0.430505i | ||||
\(663\) | 2.30163 | − | 0.0861208i | 0.0893877 | − | 0.00334465i | ||||
\(664\) | 0.932989 | − | 4.08769i | 0.0362070 | − | 0.158633i | ||||
\(665\) | −1.49486 | − | 19.0664i | −0.0579680 | − | 0.739362i | ||||
\(666\) | 1.65677 | + | 7.25877i | 0.0641984 | + | 0.281271i | ||||
\(667\) | −2.02607 | − | 7.56139i | −0.0784496 | − | 0.292778i | ||||
\(668\) | 8.96459 | + | 2.40205i | 0.346850 | + | 0.0929383i | ||||
\(669\) | 9.69220 | + | 10.4457i | 0.374722 | + | 0.403854i | ||||
\(670\) | −14.9293 | − | 13.9122i | −0.576769 | − | 0.537475i | ||||
\(671\) | −2.39193 | − | 1.90750i | −0.0923395 | − | 0.0736383i | ||||
\(672\) | −2.28333 | + | 1.57552i | −0.0880813 | + | 0.0607771i | ||||
\(673\) | 4.26797 | − | 37.8793i | 0.164518 | − | 1.46014i | −0.591879 | − | 0.806027i | \(-0.701614\pi\) |
0.756397 | − | 0.654113i | \(-0.226958\pi\) | |||||||
\(674\) | −3.17184 | + | 10.2829i | −0.122175 | + | 0.396081i | ||||
\(675\) | −16.8421 | + | 19.4016i | −0.648254 | + | 0.746768i | ||||
\(676\) | 0.510523 | + | 6.81246i | 0.0196355 | + | 0.262018i | ||||
\(677\) | 1.62602 | − | 3.72688i | 0.0624930 | − | 0.143236i | −0.882513 | − | 0.470287i | \(-0.844150\pi\) |
0.945006 | + | 0.327052i | \(0.106055\pi\) | |||||||
\(678\) | −6.19480 | + | 17.7037i | −0.237910 | + | 0.679908i | ||||
\(679\) | −12.7956 | + | 37.2343i | −0.491049 | + | 1.42892i | ||||
\(680\) | 0.444219 | − | 1.92715i | 0.0170350 | − | 0.0739027i | ||||
\(681\) | −2.01900 | + | 26.9416i | −0.0773682 | + | 1.03241i | ||||
\(682\) | −1.69265 | − | 0.894592i | −0.0648149 | − | 0.0342557i | ||||
\(683\) | 0.235028 | + | 1.24215i | 0.00899311 | + | 0.0475297i | 0.986776 | − | 0.162092i | \(-0.0518243\pi\) |
−0.977782 | + | 0.209622i | \(0.932777\pi\) | |||||||
\(684\) | −6.07541 | + | 0.915720i | −0.232299 | + | 0.0350134i | ||||
\(685\) | −20.1261 | + | 31.8783i | −0.768980 | + | 1.21801i | ||||
\(686\) | 13.8332 | − | 12.3143i | 0.528154 | − | 0.470163i | ||||
\(687\) | −19.9030 | + | 19.9030i | −0.759346 | + | 0.759346i | ||||
\(688\) | −4.11997 | − | 3.04068i | −0.157072 | − | 0.115925i | ||||
\(689\) | −1.96706 | − | 1.34112i | −0.0749390 | − | 0.0510926i | ||||
\(690\) | −0.447853 | + | 1.65715i | −0.0170495 | + | 0.0630867i | ||||
\(691\) | −31.2796 | − | 2.34408i | −1.18993 | − | 0.0891731i | −0.534994 | − | 0.844856i | \(-0.679686\pi\) |
−0.654938 | + | 0.755683i | \(0.727305\pi\) | |||||||
\(692\) | −6.11235 | − | 17.4681i | −0.232357 | − | 0.664038i | ||||
\(693\) | −6.98624 | + | 3.41266i | −0.265385 | + | 0.129636i | ||||
\(694\) | 14.3882 | + | 29.8775i | 0.546170 | + | 1.13413i | ||||
\(695\) | 24.1953 | + | 35.6524i | 0.917781 | + | 1.35237i | ||||
\(696\) | 11.1793 | − | 0.837775i | 0.423752 | − | 0.0317558i | ||||
\(697\) | 0.967086 | + | 2.21659i | 0.0366310 | + | 0.0839591i | ||||
\(698\) | −18.8302 | + | 9.95208i | −0.712735 | + | 0.376692i | ||||
\(699\) | −8.10449 | − | 10.1627i | −0.306540 | − | 0.384389i | ||||
\(700\) | −6.59956 | + | 11.4650i | −0.249440 | + | 0.433336i | ||||
\(701\) | −18.3032 | + | 22.9515i | −0.691303 | + | 0.866867i | −0.996340 | − | 0.0854735i | \(-0.972760\pi\) |
0.305037 | + | 0.952340i | \(0.401331\pi\) | |||||||
\(702\) | −2.37259 | + | 12.5394i | −0.0895475 | + | 0.473270i | ||||
\(703\) | 0.473517 | − | 12.6550i | 0.0178590 | − | 0.477293i | ||||
\(704\) | 1.33907 | − | 0.773115i | 0.0504683 | − | 0.0291379i | ||||
\(705\) | −3.19056 | + | 10.2652i | −0.120164 | + | 0.386608i | ||||
\(706\) | −13.6794 | + | 3.12223i | −0.514831 | + | 0.117507i | ||||
\(707\) | −6.65805 | − | 0.965490i | −0.250402 | − | 0.0363110i | ||||
\(708\) | 2.52980 | − | 1.58958i | 0.0950756 | − | 0.0597400i | ||||
\(709\) | 2.51626 | − | 2.71189i | 0.0945003 | − | 0.101847i | −0.684031 | − | 0.729453i | \(-0.739775\pi\) |
0.778531 | + | 0.627606i | \(0.215965\pi\) | |||||||
\(710\) | 5.86520 | − | 6.78593i | 0.220117 | − | 0.254672i | ||||
\(711\) | −20.3675 | − | 3.06991i | −0.763841 | − | 0.115131i | ||||
\(712\) | 0.0320333 | + | 0.856109i | 0.00120050 | + | 0.0320840i | ||||
\(713\) | −0.482311 | − | 0.767594i | −0.0180627 | − | 0.0287466i | ||||
\(714\) | −2.45234 | − | 0.0780291i | −0.0917764 | − | 0.00292017i | ||||
\(715\) | 8.09911 | + | 2.85356i | 0.302890 | + | 0.106717i | ||||
\(716\) | −8.62394 | + | 14.9371i | −0.322292 | + | 0.558226i | ||||
\(717\) | 5.66189 | − | 21.1304i | 0.211447 | − | 0.789131i | ||||
\(718\) | 12.6119 | + | 0.471904i | 0.470672 | + | 0.0176113i | ||||
\(719\) | −18.8639 | + | 12.8612i | −0.703507 | + | 0.479643i | −0.861474 | − | 0.507802i | \(-0.830458\pi\) |
0.157967 | + | 0.987444i | \(0.449506\pi\) | |||||||
\(720\) | 3.82501 | + | 1.85217i | 0.142550 | + | 0.0690262i | ||||
\(721\) | −9.04795 | + | 21.0586i | −0.336963 | + | 0.784265i | ||||
\(722\) | −8.49593 | − | 0.957261i | −0.316186 | − | 0.0356256i | ||||
\(723\) | 0.0723561 | + | 0.136904i | 0.00269095 | + | 0.00509153i | ||||
\(724\) | −8.30632 | + | 21.1642i | −0.308702 | + | 0.786560i | ||||
\(725\) | 46.4115 | − | 26.5303i | 1.72368 | − | 0.985311i | ||||
\(726\) | 8.40295 | − | 3.29791i | 0.311863 | − | 0.122397i | ||||
\(727\) | 43.6542 | + | 15.2753i | 1.61905 | + | 0.566529i | 0.979363 | − | 0.202110i | \(-0.0647797\pi\) |
0.639684 | + | 0.768638i | \(0.279065\pi\) | |||||||
\(728\) | 0.0367477 | + | 6.57098i | 0.00136196 | + | 0.243537i | ||||
\(729\) | 6.75402 | − | 14.0249i | 0.250149 | − | 0.519439i | ||||
\(730\) | −15.3024 | + | 2.27284i | −0.566367 | + | 0.0841214i | ||||
\(731\) | −1.33490 | − | 4.32763i | −0.0493730 | − | 0.160063i | ||||
\(732\) | 2.03846 | − | 0.385698i | 0.0753438 | − | 0.0142558i | ||||
\(733\) | −15.4956 | + | 20.9959i | −0.572345 | + | 0.775500i | −0.991174 | − | 0.132565i | \(-0.957679\pi\) |
0.418830 | + | 0.908065i | \(0.362440\pi\) | |||||||
\(734\) | −0.805019 | −0.0297138 | ||||||||
\(735\) | 15.5394 | + | 5.28037i | 0.573179 | + | 0.194769i | ||||
\(736\) | 0.732159 | 0.0269877 | ||||||||
\(737\) | 8.37948 | − | 11.3538i | 0.308662 | − | 0.418222i | ||||
\(738\) | −5.10625 | + | 0.966154i | −0.187964 | + | 0.0355646i | ||||
\(739\) | 13.2802 | + | 43.0534i | 0.488520 | + | 1.58374i | 0.779104 | + | 0.626894i | \(0.215674\pi\) |
−0.290584 | + | 0.956849i | \(0.593850\pi\) | |||||||
\(740\) | −5.21679 | + | 7.03679i | −0.191773 | + | 0.258678i | ||||
\(741\) | 3.65263 | − | 7.58476i | 0.134183 | − | 0.278633i | ||||
\(742\) | 1.99165 | + | 1.57014i | 0.0731157 | + | 0.0576418i | ||||
\(743\) | −10.8905 | − | 3.81076i | −0.399535 | − | 0.139803i | 0.123030 | − | 0.992403i | \(-0.460739\pi\) |
−0.522564 | + | 0.852600i | \(0.675025\pi\) | |||||||
\(744\) | 1.20852 | − | 0.474310i | 0.0443066 | − | 0.0173890i | ||||
\(745\) | 12.2471 | − | 3.74891i | 0.448698 | − | 0.137350i | ||||
\(746\) | −3.48482 | + | 8.87918i | −0.127588 | + | 0.325090i | ||||
\(747\) | 3.72358 | + | 7.04536i | 0.136239 | + | 0.257776i | ||||
\(748\) | 1.35896 | + | 0.153118i | 0.0496884 | + | 0.00559854i | ||||
\(749\) | 1.97380 | + | 45.8823i | 0.0721211 | + | 1.67650i | ||||
\(750\) | −11.7226 | − | 0.0755951i | −0.428050 | − | 0.00276034i | ||||
\(751\) | 1.55447 | − | 1.05982i | 0.0567234 | − | 0.0386734i | −0.534626 | − | 0.845089i | \(-0.679548\pi\) |
0.591350 | + | 0.806415i | \(0.298595\pi\) | |||||||
\(752\) | 4.58166 | + | 0.171433i | 0.167076 | + | 0.00625154i | ||||
\(753\) | −7.13752 | + | 26.6376i | −0.260106 | + | 0.970727i | ||||
\(754\) | 13.2773 | − | 22.9970i | 0.483531 | − | 0.837501i | ||||
\(755\) | 8.29398 | + | 17.3178i | 0.301849 | + | 0.630258i | ||||
\(756\) | 3.44514 | − | 13.1512i | 0.125298 | − | 0.478303i | ||||
\(757\) | −1.27286 | − | 2.02574i | −0.0462628 | − | 0.0736268i | 0.822792 | − | 0.568342i | \(-0.192415\pi\) |
−0.869055 | + | 0.494716i | \(0.835272\pi\) | |||||||
\(758\) | 0.685063 | + | 18.3087i | 0.0248826 | + | 0.665002i | ||||
\(759\) | −1.17376 | − | 0.176917i | −0.0426049 | − | 0.00642166i | ||||
\(760\) | −5.46887 | − | 4.72684i | −0.198377 | − | 0.171461i | ||||
\(761\) | 28.2563 | − | 30.4530i | 1.02429 | − | 1.10392i | 0.0297500 | − | 0.999557i | \(-0.490529\pi\) |
0.994539 | − | 0.104364i | \(-0.0332806\pi\) | |||||||
\(762\) | −3.02553 | + | 1.90107i | −0.109604 | + | 0.0688685i | ||||
\(763\) | −2.63670 | − | 32.7273i | −0.0954549 | − | 1.18481i | ||||
\(764\) | 4.82925 | − | 1.10224i | 0.174716 | − | 0.0398778i | ||||
\(765\) | 1.74921 | + | 3.32695i | 0.0632426 | + | 0.120286i | ||||
\(766\) | −9.40717 | + | 5.43123i | −0.339895 | + | 0.196238i | ||||
\(767\) | 0.264619 | − | 7.07210i | 0.00955485 | − | 0.255359i | ||||
\(768\) | −0.194933 | + | 1.03025i | −0.00703405 | + | 0.0371758i | ||||
\(769\) | −6.69502 | + | 8.39529i | −0.241428 | + | 0.302742i | −0.887752 | − | 0.460322i | \(-0.847734\pi\) |
0.646324 | + | 0.763063i | \(0.276306\pi\) | |||||||
\(770\) | −8.39691 | − | 3.62917i | −0.302604 | − | 0.130786i | ||||
\(771\) | −0.0939191 | − | 0.117771i | −0.00338241 | − | 0.00424141i | ||||
\(772\) | 6.85793 | − | 3.62452i | 0.246822 | − | 0.130449i | ||||
\(773\) | 15.5083 | + | 35.5453i | 0.557793 | + | 1.27848i | 0.935754 | + | 0.352654i | \(0.114721\pi\) |
−0.377961 | + | 0.925822i | \(0.623375\pi\) | |||||||
\(774\) | 9.70483 | − | 0.727276i | 0.348833 | − | 0.0261414i | ||||
\(775\) | 4.23036 | − | 4.52011i | 0.151959 | − | 0.162367i | ||||
\(776\) | 6.45665 | + | 13.4074i | 0.231780 | + | 0.481297i | ||||
\(777\) | 9.81750 | + | 4.66041i | 0.352201 | + | 0.167191i | ||||
\(778\) | 5.70312 | + | 16.2986i | 0.204467 | + | 0.584333i | ||||
\(779\) | 8.81454 | + | 0.660559i | 0.315814 | + | 0.0236670i | ||||
\(780\) | −5.04918 | + | 2.90069i | −0.180790 | + | 0.103861i | ||||
\(781\) | 5.12456 | + | 3.49386i | 0.183371 | + | 0.125020i | ||||
\(782\) | 0.521021 | + | 0.384531i | 0.0186317 | + | 0.0137508i | ||||
\(783\) | −38.8477 | + | 38.8477i | −1.38830 | + | 1.38830i | ||||
\(784\) | 0.445005 | − | 6.98584i | 0.0158931 | − | 0.249494i | ||||
\(785\) | 1.23555 | + | 0.780055i | 0.0440986 | + | 0.0278414i | ||||
\(786\) | 11.4619 | − | 1.72760i | 0.408832 | − | 0.0616215i | ||||
\(787\) | −7.51581 | − | 39.7220i | −0.267910 | − | 1.41594i | −0.815290 | − | 0.579053i | \(-0.803423\pi\) |
0.547381 | − | 0.836884i | \(-0.315625\pi\) | |||||||
\(788\) | 19.8471 | + | 10.4895i | 0.707024 | + | 0.373673i | ||||
\(789\) | 1.81157 | − | 24.1738i | 0.0644938 | − | 0.860610i | ||||
\(790\) | −12.8487 | − | 20.5466i | −0.457138 | − | 0.731014i | ||||
\(791\) | −25.4036 | − | 39.9321i | −0.903248 | − | 1.41982i | ||||
\(792\) | −0.970608 | + | 2.77384i | −0.0344891 | + | 0.0985641i | ||||
\(793\) | 1.96513 | − | 4.50414i | 0.0697840 | − | 0.159947i | ||||
\(794\) | 0.342999 | + | 4.57701i | 0.0121726 | + | 0.162432i | ||||
\(795\) | −0.339740 | + | 2.22162i | −0.0120494 | + | 0.0787926i | ||||
\(796\) | 3.44271 | − | 11.1610i | 0.122024 | − | 0.395591i | ||||
\(797\) | 2.22768 | − | 19.7712i | 0.0789085 | − | 0.700332i | −0.890518 | − | 0.454949i | \(-0.849658\pi\) |
0.969426 | − | 0.245383i | \(-0.0789139\pi\) | |||||||
\(798\) | −4.44047 | + | 7.79143i | −0.157191 | + | 0.275814i | ||||
\(799\) | 3.17038 | + | 2.52829i | 0.112160 | + | 0.0894445i | ||||
\(800\) | 1.27332 | + | 4.83515i | 0.0450187 | + | 0.170948i | ||||
\(801\) | −1.10749 | − | 1.19359i | −0.0391313 | − | 0.0421736i | ||||
\(802\) | −7.60862 | − | 2.03872i | −0.268670 | − | 0.0719899i | ||||
\(803\) | −2.76874 | − | 10.3331i | −0.0977069 | − | 0.364647i | ||||
\(804\) | 2.12931 | + | 9.32910i | 0.0750949 | + | 0.329012i | ||||
\(805\) | −2.58412 | − | 3.47625i | −0.0910783 | − | 0.122522i | ||||
\(806\) | 0.684294 | − | 2.99809i | 0.0241032 | − | 0.105603i | ||||
\(807\) | −10.5432 | + | 0.394498i | −0.371137 | + | 0.0138870i | ||||
\(808\) | −2.04595 | + | 1.50998i | −0.0719763 | + | 0.0531210i | ||||
\(809\) | 3.46397 | − | 22.9819i | 0.121787 | − | 0.808001i | −0.841642 | − | 0.540036i | \(-0.818411\pi\) |
0.963429 | − | 0.267965i | \(-0.0863513\pi\) | |||||||
\(810\) | −0.678640 | + | 0.180278i | −0.0238450 | + | 0.00633434i | ||||
\(811\) | −36.7900 | − | 8.39708i | −1.29187 | − | 0.294861i | −0.479263 | − | 0.877671i | \(-0.659096\pi\) |
−0.812609 | + | 0.582810i | \(0.801953\pi\) | |||||||
\(812\) | −15.8042 | + | 23.4613i | −0.554619 | + | 0.823332i | ||||
\(813\) | 11.0879 | − | 17.6463i | 0.388869 | − | 0.618881i | ||||
\(814\) | −5.24573 | − | 3.02863i | −0.183863 | − | 0.106153i | ||||
\(815\) | −1.23272 | + | 31.1529i | −0.0431804 | + | 1.09124i | ||||
\(816\) | −0.679807 | + | 0.630769i | −0.0237980 | + | 0.0220813i | ||||
\(817\) | −16.2645 | − | 3.07742i | −0.569024 | − | 0.107665i | ||||
\(818\) | −0.266344 | − | 2.36387i | −0.00931249 | − | 0.0826506i | ||||
\(819\) | −8.19919 | − | 9.42056i | −0.286503 | − | 0.329181i | ||||
\(820\) | −4.77203 | − | 3.82238i | −0.166647 | − | 0.133483i | ||||
\(821\) | −21.0827 | − | 6.50314i | −0.735790 | − | 0.226961i | −0.0958605 | − | 0.995395i | \(-0.530560\pi\) |
−0.639930 | + | 0.768434i | \(0.721036\pi\) | |||||||
\(822\) | 16.2031 | − | 7.06932i | 0.565147 | − | 0.246571i | ||||
\(823\) | 21.8725 | − | 25.4163i | 0.762428 | − | 0.885957i | −0.233840 | − | 0.972275i | \(-0.575129\pi\) |
0.996268 | + | 0.0863177i | \(0.0275100\pi\) | |||||||
\(824\) | 3.16495 | + | 8.06415i | 0.110256 | + | 0.280928i | ||||
\(825\) | −0.872981 | − | 8.05917i | −0.0303933 | − | 0.280584i | ||||
\(826\) | −0.802191 | + | 7.49619i | −0.0279118 | + | 0.260826i | ||||
\(827\) | −13.6023 | + | 4.75964i | −0.472998 | + | 0.165509i | −0.556242 | − | 0.831020i | \(-0.687757\pi\) |
0.0832448 | + | 0.996529i | \(0.473472\pi\) | |||||||
\(828\) | −1.05474 | + | 0.907681i | −0.0366549 | + | 0.0315441i | ||||
\(829\) | −43.7426 | + | 13.4928i | −1.51924 | + | 0.468625i | −0.938447 | − | 0.345423i | \(-0.887735\pi\) |
−0.580798 | + | 0.814048i | \(0.697259\pi\) | |||||||
\(830\) | −3.44398 | + | 8.71995i | −0.119542 | + | 0.302674i | ||||
\(831\) | 2.78560 | + | 18.4813i | 0.0966315 | + | 0.641108i | ||||
\(832\) | 1.75619 | + | 1.75619i | 0.0608851 | + | 0.0608851i | ||||
\(833\) | 3.98565 | − | 4.73757i | 0.138095 | − | 0.164147i | ||||
\(834\) | − | 20.2043i | − | 0.699617i | ||||||
\(835\) | −19.0031 | − | 8.33965i | −0.657630 | − | 0.288605i | ||||
\(836\) | 2.81575 | − | 4.12995i | 0.0973847 | − | 0.142837i | ||||
\(837\) | −2.97289 | + | 5.62498i | −0.102758 | + | 0.194428i | ||||
\(838\) | 16.3969 | + | 19.0535i | 0.566421 | + | 0.658193i | ||||
\(839\) | −6.06972 | − | 2.92302i | −0.209550 | − | 0.100914i | 0.326165 | − | 0.945313i | \(-0.394244\pi\) |
−0.535715 | + | 0.844399i | \(0.679958\pi\) | |||||||
\(840\) | 5.57956 | − | 2.71068i | 0.192513 | − | 0.0935273i | ||||
\(841\) | 76.8665 | − | 37.0170i | 2.65057 | − | 1.27645i | ||||
\(842\) | −30.8791 | − | 13.4724i | −1.06416 | − | 0.464290i | ||||
\(843\) | −11.0375 | − | 9.49851i | −0.380151 | − | 0.327146i | ||||
\(844\) | 9.39654 | + | 3.68787i | 0.323442 | + | 0.126942i | ||||
\(845\) | 1.17431 | − | 15.2306i | 0.0403973 | − | 0.523949i | ||||
\(846\) | −6.81284 | + | 5.43306i | −0.234230 | + | 0.186792i | ||||
\(847\) | −6.59203 | + | 21.8030i | −0.226505 | + | 0.749159i | ||||
\(848\) | 0.952544 | − | 0.107326i | 0.0327105 | − | 0.00368559i | ||||
\(849\) | −16.5392 | − | 24.2586i | −0.567624 | − | 0.832551i | ||||
\(850\) | −1.63330 | + | 4.10955i | −0.0560219 | + | 0.140957i | ||||
\(851\) | −1.43409 | − | 2.48392i | −0.0491600 | − | 0.0851476i | ||||
\(852\) | −4.06256 | + | 1.08856i | −0.139181 | + | 0.0372935i | ||||
\(853\) | −46.6533 | − | 29.3142i | −1.59738 | − | 1.00370i | −0.975338 | − | 0.220715i | \(-0.929161\pi\) |
−0.622041 | − | 0.782985i | \(-0.713696\pi\) | |||||||
\(854\) | −2.42020 | + | 4.64189i | −0.0828174 | + | 0.158842i | ||||
\(855\) | 13.7384 | + | 0.0295311i | 0.469845 | + | 0.00100994i | ||||
\(856\) | 12.7243 | + | 11.8064i | 0.434906 | + | 0.403534i | ||||
\(857\) | 23.3278 | + | 31.6080i | 0.796861 | + | 1.07971i | 0.995033 | + | 0.0995413i | \(0.0317375\pi\) |
−0.198172 | + | 0.980167i | \(0.563501\pi\) | |||||||
\(858\) | −2.39109 | − | 3.23981i | −0.0816305 | − | 0.110605i | ||||
\(859\) | 24.7621 | + | 22.9759i | 0.844871 | + | 0.783926i | 0.978313 | − | 0.207131i | \(-0.0664125\pi\) |
−0.133442 | + | 0.991057i | \(0.542603\pi\) | |||||||
\(860\) | 8.07885 | + | 8.11366i | 0.275487 | + | 0.276673i | ||||
\(861\) | −3.50687 | + | 6.72610i | −0.119514 | + | 0.229225i | ||||
\(862\) | 34.1382 | + | 21.4505i | 1.16275 | + | 0.730606i | ||||
\(863\) | 13.4293 | − | 3.59837i | 0.457138 | − | 0.122490i | −0.0228992 | − | 0.999738i | \(-0.507290\pi\) |
0.480038 | + | 0.877248i | \(0.340623\pi\) | |||||||
\(864\) | −2.56920 | − | 4.44999i | −0.0874060 | − | 0.151392i | ||||
\(865\) | 7.60599 | + | 40.6771i | 0.258611 | + | 1.38306i | ||||
\(866\) | −17.2025 | − | 25.2314i | −0.584564 | − | 0.857397i | ||||
\(867\) | 16.8978 | − | 1.90393i | 0.573880 | − | 0.0646608i | ||||
\(868\) | −0.948073 | + | 3.13573i | −0.0321797 | + | 0.106434i | ||||
\(869\) | 13.1013 | − | 10.4479i | 0.444431 | − | 0.354422i | ||||
\(870\) | −24.9937 | − | 1.92705i | −0.847365 | − | 0.0653331i | ||||
\(871\) | 21.0992 | + | 8.28083i | 0.714920 | + | 0.280585i | ||||
\(872\) | −9.40629 | − | 8.09477i | −0.318537 | − | 0.274124i | ||||
\(873\) | −25.9230 | − | 11.3101i | −0.877359 | − | 0.382788i | ||||
\(874\) | 2.13245 | − | 1.02694i | 0.0721313 | − | 0.0347366i | ||||
\(875\) | 18.4629 | − | 23.1111i | 0.624159 | − | 0.781297i | ||||
\(876\) | 6.53585 | + | 3.14750i | 0.220826 | + | 0.106344i | ||||
\(877\) | −31.7068 | − | 36.8439i | −1.07066 | − | 1.24413i | −0.968407 | − | 0.249373i | \(-0.919775\pi\) |
−0.102255 | − | 0.994758i | \(-0.532606\pi\) | |||||||
\(878\) | −9.60023 | + | 18.1645i | −0.323992 | + | 0.613023i | ||||
\(879\) | 14.7367 | − | 21.6148i | 0.497058 | − | 0.729050i | ||||
\(880\) | −3.22118 | + | 1.25624i | −0.108586 | + | 0.0423477i | ||||
\(881\) | − | 30.6167i | − | 1.03150i | −0.856739 | − | 0.515751i | \(-0.827513\pi\) | ||
0.856739 | − | 0.515751i | \(-0.172487\pi\) | |||||||
\(882\) | 8.01950 | + | 10.6155i | 0.270031 | + | 0.357441i | ||||
\(883\) | −24.7845 | − | 24.7845i | −0.834066 | − | 0.834066i | 0.154004 | − | 0.988070i | \(-0.450783\pi\) |
−0.988070 | + | 0.154004i | \(0.950783\pi\) | |||||||
\(884\) | 0.327392 | + | 2.17211i | 0.0110114 | + | 0.0730558i | ||||
\(885\) | −6.12910 | + | 2.65843i | −0.206028 | + | 0.0893622i | ||||
\(886\) | 11.9673 | − | 3.69141i | 0.402048 | − | 0.124015i | ||||
\(887\) | 21.6796 | − | 18.6568i | 0.727928 | − | 0.626433i | −0.208202 | − | 0.978086i | \(-0.566761\pi\) |
0.936130 | + | 0.351653i | \(0.114380\pi\) | |||||||
\(888\) | 3.87703 | − | 1.35663i | 0.130105 | − | 0.0455256i | ||||
\(889\) | 0.959387 | − | 8.96514i | 0.0321768 | − | 0.300681i | ||||
\(890\) | 0.218577 | − | 1.90315i | 0.00732672 | − | 0.0637936i | ||||
\(891\) | −0.177392 | − | 0.451987i | −0.00594285 | − | 0.0151421i | ||||
\(892\) | −8.86467 | + | 10.3009i | −0.296811 | + | 0.344901i | ||||
\(893\) | 13.5848 | − | 5.92698i | 0.454598 | − | 0.198339i | ||||
\(894\) | −5.73906 | − | 1.77026i | −0.191943 | − | 0.0592065i | ||||
\(895\) | 24.1112 | − | 30.1015i | 0.805947 | − | 1.00618i | ||||
\(896\) | −1.73698 | − | 1.99572i | −0.0580284 | − | 0.0666724i | ||||
\(897\) | −0.213478 | − | 1.89467i | −0.00712782 | − | 0.0632611i | ||||
\(898\) | −4.24525 | − | 0.803246i | −0.141666 | − | 0.0268046i | ||||
\(899\) | 9.70446 | − | 9.00442i | 0.323662 | − | 0.300314i | ||||
\(900\) | −7.82863 | − | 5.38691i | −0.260954 | − | 0.179564i | ||||
\(901\) | 0.734220 | + | 0.423902i | 0.0244604 | + | 0.0141222i | ||||
\(902\) | 2.24938 | − | 3.57987i | 0.0748962 | − | 0.119197i | ||||
\(903\) | 7.93625 | − | 11.7814i | 0.264102 | − | 0.392059i | ||||
\(904\) | −17.4397 | − | 3.98050i | −0.580036 | − | 0.132390i | ||||
\(905\) | 25.5140 | − | 43.9729i | 0.848113 | − | 1.46171i | ||||
\(906\) | 1.34195 | − | 8.90328i | 0.0445834 | − | 0.295792i | ||||
\(907\) | 28.7632 | − | 21.2282i | 0.955066 | − | 0.704871i | −0.000391248 | − | 1.00000i | \(-0.500125\pi\) |
0.955457 | + | 0.295129i | \(0.0953626\pi\) | |||||||
\(908\) | −25.7488 | + | 0.963452i | −0.854504 | + | 0.0319733i | ||||
\(909\) | 1.07542 | − | 4.71170i | 0.0356693 | − | 0.156277i | ||||
\(910\) | 2.13990 | − | 14.5367i | 0.0709370 | − | 0.481888i | ||||
\(911\) | −2.54354 | − | 11.1440i | −0.0842712 | − | 0.369216i | 0.915154 | − | 0.403103i | \(-0.132068\pi\) |
−0.999426 | + | 0.0338871i | \(0.989211\pi\) | |||||||
\(912\) | 0.877284 | + | 3.27407i | 0.0290498 | + | 0.108415i | ||||
\(913\) | −6.26215 | − | 1.67794i | −0.207247 | − | 0.0555316i | ||||
\(914\) | 17.4984 | + | 18.8588i | 0.578796 | + | 0.623794i | ||||
\(915\) | −4.63614 | + | 0.163493i | −0.153266 | + | 0.00540493i | ||||
\(916\) | −20.9878 | − | 16.7372i | −0.693457 | − | 0.553013i | ||||
\(917\) | −14.4824 | + | 25.4113i | −0.478250 | + | 0.839155i | ||||
\(918\) | 0.508838 | − | 4.51606i | 0.0167942 | − | 0.149052i | ||||
\(919\) | −11.2467 | + | 36.4608i | −0.370994 | + | 1.20273i | 0.557119 | + | 0.830433i | \(0.311907\pi\) |
−0.928113 | + | 0.372299i | \(0.878570\pi\) | |||||||
\(920\) | −1.61834 | − | 0.247485i | −0.0533552 | − | 0.00815933i | ||||
\(921\) | −1.17510 | − | 15.6806i | −0.0387207 | − | 0.516692i | ||||
\(922\) | −16.8735 | + | 38.6744i | −0.555698 | + | 1.27367i | ||||
\(923\) | −3.29038 | + | 9.40335i | −0.108304 | + | 0.309515i | ||||
\(924\) | 2.30241 | + | 3.61917i | 0.0757436 | + | 0.119062i | ||||
\(925\) | 13.9096 | − | 13.7905i | 0.457346 | − | 0.453430i | ||||
\(926\) | −1.86001 | + | 24.8201i | −0.0611238 | + | 0.815641i | ||||
\(927\) | −14.5568 | − | 7.69349i | −0.478108 | − | 0.252687i | ||||
\(928\) | 1.98774 | + | 10.5054i | 0.0652507 | + | 0.344858i | ||||
\(929\) | 23.3505 | − | 3.51952i | 0.766105 | − | 0.115472i | 0.245647 | − | 0.969359i | \(-0.420999\pi\) |
0.520458 | + | 0.853887i | \(0.325761\pi\) | |||||||
\(930\) | −2.83161 | + | 0.639896i | −0.0928521 | + | 0.0209830i | ||||
\(931\) | −8.50233 | − | 20.9708i | −0.278653 | − | 0.687291i | ||||
\(932\) | 8.76601 | − | 8.76601i | 0.287140 | − | 0.287140i | ||||
\(933\) | −17.5555 | − | 12.9566i | −0.574743 | − | 0.424180i | ||||
\(934\) | −1.57684 | − | 1.07507i | −0.0515957 | − | 0.0351773i | ||||
\(935\) | −2.95204 | − | 0.797803i | −0.0965422 | − | 0.0260909i | ||||
\(936\) | −4.70718 | − | 0.352754i | −0.153859 | − | 0.0115301i | ||||
\(937\) | 0.189900 | + | 0.542703i | 0.00620376 | + | 0.0177293i | 0.946944 | − | 0.321400i | \(-0.104153\pi\) |
−0.940740 | + | 0.339129i | \(0.889868\pi\) | |||||||
\(938\) | −21.8126 | − | 10.3545i | −0.712207 | − | 0.338088i | ||||
\(939\) | −0.871834 | − | 1.81038i | −0.0284512 | − | 0.0590796i | ||||
\(940\) | −10.0692 | − | 1.92763i | −0.328422 | − | 0.0628722i | ||||
\(941\) | 35.8410 | − | 2.68591i | 1.16838 | − | 0.0875582i | 0.523628 | − | 0.851947i | \(-0.324578\pi\) |
0.644756 | + | 0.764389i | \(0.276959\pi\) | |||||||
\(942\) | −0.273995 | − | 0.628003i | −0.00892724 | − | 0.0204615i | ||||
\(943\) | 1.76997 | − | 0.935455i | 0.0576381 | − | 0.0304626i | ||||
\(944\) | 1.77662 | + | 2.22781i | 0.0578239 | + | 0.0725089i | ||||
\(945\) | −12.0604 | + | 27.9044i | −0.392325 | + | 0.907732i | ||||
\(946\) | −4.93649 | + | 6.19017i | −0.160499 | + | 0.201260i | ||||
\(947\) | −10.5552 | + | 55.7856i | −0.342998 | + | 1.81279i | 0.207824 | + | 0.978166i | \(0.433362\pi\) |
−0.550822 | + | 0.834623i | \(0.685686\pi\) | |||||||
\(948\) | −0.424890 | + | 11.3554i | −0.0137998 | + | 0.368807i | ||||
\(949\) | 14.8810 | − | 8.59153i | 0.483056 | − | 0.278893i | ||||
\(950\) | 10.4905 | + | 12.2967i | 0.340356 | + | 0.398957i | ||||
\(951\) | 28.8831 | − | 6.59239i | 0.936600 | − | 0.213773i | ||||
\(952\) | −0.187917 | − | 2.33247i | −0.00609043 | − | 0.0755957i | ||||
\(953\) | 34.6254 | − | 21.7566i | 1.12163 | − | 0.704764i | 0.162209 | − | 0.986756i | \(-0.448138\pi\) |
0.959417 | + | 0.281992i | \(0.0909952\pi\) | |||||||
\(954\) | −1.23917 | + | 1.33551i | −0.0401198 | + | 0.0432388i | ||||
\(955\) | −11.0470 | + | 0.803983i | −0.357473 | + | 0.0260163i | ||||
\(956\) | 20.6304 | + | 3.10953i | 0.667234 | + | 0.100569i | ||||
\(957\) | −0.648150 | − | 17.3222i | −0.0209517 | − | 0.559946i | ||||
\(958\) | −6.82536 | − | 10.8625i | −0.220517 | − | 0.350951i | ||||
\(959\) | −11.3040 | + | 43.1511i | −0.365027 | + | 1.39342i | ||||
\(960\) | 0.779120 | − | 2.21134i | 0.0251460 | − | 0.0713706i | ||||
\(961\) | −14.7335 | + | 25.5191i | −0.475273 | + | 0.823196i | ||||
\(962\) | 2.51817 | − | 9.39795i | 0.0811891 | − | 0.303002i | ||||
\(963\) | −32.9672 | − | 1.23355i | −1.06235 | − | 0.0397505i | ||||
\(964\) | −0.122021 | + | 0.0831926i | −0.00393003 | + | 0.00267945i | ||||
\(965\) | −16.3837 | + | 5.69342i | −0.527411 | + | 0.183278i | ||||
\(966\) | 0.0872952 | + | 2.02923i | 0.00280868 | + | 0.0652896i | ||||
\(967\) | −9.44632 | − | 1.06434i | −0.303773 | − | 0.0342270i | −0.0412377 | − | 0.999149i | \(-0.513130\pi\) |
−0.262535 | + | 0.964922i | \(0.584559\pi\) | |||||||
\(968\) | 4.02280 | + | 7.61150i | 0.129298 | + | 0.244643i | ||||
\(969\) | −1.09525 | + | 2.79066i | −0.0351846 | + | 0.0896488i | ||||
\(970\) | −9.73963 | − | 31.8178i | −0.312721 | − | 1.02161i | ||||
\(971\) | −13.2287 | + | 5.19188i | −0.424529 | + | 0.166615i | −0.567980 | − | 0.823042i | \(-0.692275\pi\) |
0.143452 | + | 0.989657i | \(0.454180\pi\) | |||||||
\(972\) | 14.8609 | + | 5.20007i | 0.476665 | + | 0.166792i | ||||
\(973\) | 40.0361 | + | 31.5630i | 1.28350 | + | 1.01186i | ||||
\(974\) | −0.360078 | + | 0.747709i | −0.0115376 | + | 0.0239582i | ||||
\(975\) | 12.1410 | − | 4.70488i | 0.388825 | − | 0.150677i | ||||
\(976\) | 0.583208 | + | 1.89071i | 0.0186680 | + | 0.0605202i | ||||
\(977\) | 19.9956 | − | 3.78338i | 0.639717 | − | 0.121041i | 0.144074 | − | 0.989567i | \(-0.453980\pi\) |
0.495644 | + | 0.868526i | \(0.334932\pi\) | |||||||
\(978\) | 8.68137 | − | 11.7628i | 0.277600 | − | 0.376134i | ||||
\(979\) | 1.32467 | 0.0423366 | ||||||||
\(980\) | −3.34499 | + | 15.2909i | −0.106852 | + | 0.488449i | ||||
\(981\) | 23.5860 | 0.753043 | ||||||||
\(982\) | 16.1946 | − | 21.9429i | 0.516790 | − | 0.700226i | ||||
\(983\) | −5.15551 | + | 0.975475i | −0.164435 | + | 0.0311128i | −0.267477 | − | 0.963564i | \(-0.586190\pi\) |
0.103042 | + | 0.994677i | \(0.467142\pi\) | |||||||
\(984\) | 0.845069 | + | 2.73965i | 0.0269398 | + | 0.0873367i | ||||
\(985\) | −40.3238 | − | 29.8945i | −1.28482 | − | 0.952516i | ||||
\(986\) | −4.10296 | + | 8.51988i | −0.130665 | + | 0.271328i | ||||
\(987\) | 0.0711292 | + | 12.7189i | 0.00226407 | + | 0.404846i | ||||
\(988\) | 7.57828 | + | 2.65176i | 0.241097 | + | 0.0843636i | ||||
\(989\) | −3.48989 | + | 1.36968i | −0.110972 | + | 0.0435533i | ||||
\(990\) | 3.08302 | − | 5.80313i | 0.0979848 | − | 0.184436i | ||||
\(991\) | −14.5586 | + | 37.0946i | −0.462468 | + | 1.17835i | 0.489460 | + | 0.872026i | \(0.337194\pi\) |
−0.951928 | + | 0.306323i | \(0.900901\pi\) | |||||||
\(992\) | 0.578563 | + | 1.09469i | 0.0183694 | + | 0.0347566i | ||||
\(993\) | 19.4354 | + | 2.18984i | 0.616763 | + | 0.0694925i | ||||
\(994\) | 4.18947 | − | 9.75078i | 0.132882 | − | 0.309276i | ||||
\(995\) | −11.3823 | + | 23.5062i | −0.360844 | + | 0.745198i | ||||
\(996\) | 3.63237 | − | 2.47651i | 0.115096 | − | 0.0784713i | ||||
\(997\) | −0.366078 | − | 0.0136977i | −0.0115938 | − | 0.000433809i | 0.0315937 | − | 0.999501i | \(-0.489942\pi\) |
−0.0431875 | + | 0.999067i | \(0.513751\pi\) | |||||||
\(998\) | −4.63974 | + | 17.3157i | −0.146868 | + | 0.548120i | ||||
\(999\) | −10.0647 | + | 17.4325i | −0.318432 | + | 0.551540i |
(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 | 490.2.w.a.103.6 | ✓ | 672 | |
5.2 | odd | 4 | inner | 490.2.w.a.397.9 | yes | 672 | |
49.10 | odd | 42 | inner | 490.2.w.a.353.9 | yes | 672 | |
245.157 | even | 84 | inner | 490.2.w.a.157.6 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.w.a.103.6 | ✓ | 672 | 1.1 | even | 1 | trivial | |
490.2.w.a.157.6 | yes | 672 | 245.157 | even | 84 | inner | |
490.2.w.a.353.9 | yes | 672 | 49.10 | odd | 42 | inner | |
490.2.w.a.397.9 | yes | 672 | 5.2 | odd | 4 | inner |