Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.29 | ||
Character | \(\chi\) | \(=\) | 216.11 |
Dual form | 216.2.v.b.59.29 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35595 | − | 0.401734i | 0.958804 | − | 0.284069i | ||||
\(3\) | −1.03533 | − | 1.38855i | −0.597750 | − | 0.801682i | ||||
\(4\) | 1.67722 | − | 1.08946i | 0.838610 | − | 0.544732i | ||||
\(5\) | 1.93709 | + | 0.705042i | 0.866291 | + | 0.315304i | 0.736664 | − | 0.676259i | \(-0.236400\pi\) |
0.129627 | + | 0.991563i | \(0.458622\pi\) | |||||||
\(6\) | −1.96169 | − | 1.46689i | −0.800858 | − | 0.598854i | ||||
\(7\) | −0.744451 | − | 0.131267i | −0.281376 | − | 0.0496142i | 0.0311792 | − | 0.999514i | \(-0.490074\pi\) |
−0.312555 | + | 0.949900i | \(0.601185\pi\) | |||||||
\(8\) | 1.83656 | − | 2.15106i | 0.649321 | − | 0.760514i | ||||
\(9\) | −0.856167 | + | 2.87524i | −0.285389 | + | 0.958412i | ||||
\(10\) | 2.90984 | + | 0.177811i | 0.920171 | + | 0.0562288i | ||||
\(11\) | −0.949342 | − | 2.60830i | −0.286237 | − | 0.786431i | −0.996584 | − | 0.0825793i | \(-0.973684\pi\) |
0.710347 | − | 0.703852i | \(-0.248538\pi\) | |||||||
\(12\) | −3.24926 | − | 1.20095i | −0.937982 | − | 0.346685i | ||||
\(13\) | 0.421307 | + | 0.502095i | 0.116850 | + | 0.139256i | 0.821298 | − | 0.570499i | \(-0.193250\pi\) |
−0.704449 | + | 0.709755i | \(0.748806\pi\) | |||||||
\(14\) | −1.06217 | + | 0.121079i | −0.283878 | + | 0.0323598i | ||||
\(15\) | −1.02654 | − | 3.41970i | −0.265052 | − | 0.882964i | ||||
\(16\) | 1.62614 | − | 3.65454i | 0.406534 | − | 0.913636i | ||||
\(17\) | −3.79256 | + | 2.18964i | −0.919832 | + | 0.531065i | −0.883581 | − | 0.468278i | \(-0.844875\pi\) |
−0.0362504 | + | 0.999343i | \(0.511541\pi\) | |||||||
\(18\) | −0.00584395 | + | 4.24264i | −0.00137743 | + | 0.999999i | ||||
\(19\) | 0.155896 | − | 0.270019i | 0.0357649 | − | 0.0619467i | −0.847589 | − | 0.530653i | \(-0.821947\pi\) |
0.883354 | + | 0.468707i | \(0.155280\pi\) | |||||||
\(20\) | 4.01704 | − | 0.927876i | 0.898237 | − | 0.207479i | ||||
\(21\) | 0.588484 | + | 1.16962i | 0.128418 | + | 0.255231i | ||||
\(22\) | −2.33510 | − | 3.15535i | −0.497846 | − | 0.672722i | ||||
\(23\) | 1.32831 | + | 7.53324i | 0.276973 | + | 1.57079i | 0.732626 | + | 0.680632i | \(0.238295\pi\) |
−0.455653 | + | 0.890157i | \(0.650594\pi\) | |||||||
\(24\) | −4.88831 | − | 0.323097i | −0.997823 | − | 0.0659519i | ||||
\(25\) | −0.575004 | − | 0.482485i | −0.115001 | − | 0.0964971i | ||||
\(26\) | 0.772981 | + | 0.511564i | 0.151594 | + | 0.100326i | ||||
\(27\) | 4.87884 | − | 1.78799i | 0.938933 | − | 0.344100i | ||||
\(28\) | −1.39162 | + | 0.590889i | −0.262991 | + | 0.111668i | ||||
\(29\) | 5.89474 | + | 4.94627i | 1.09463 | + | 0.918500i | 0.997052 | − | 0.0767286i | \(-0.0244475\pi\) |
0.0975734 | + | 0.995228i | \(0.468892\pi\) | |||||||
\(30\) | −2.76575 | − | 4.22456i | −0.504955 | − | 0.771296i | ||||
\(31\) | −4.16197 | + | 0.733867i | −0.747511 | + | 0.131806i | −0.534412 | − | 0.845224i | \(-0.679467\pi\) |
−0.213099 | + | 0.977031i | \(0.568356\pi\) | |||||||
\(32\) | 0.736811 | − | 5.60866i | 0.130251 | − | 0.991481i | ||||
\(33\) | −2.63888 | + | 4.01867i | −0.459369 | + | 0.699561i | ||||
\(34\) | −4.26289 | + | 4.49265i | −0.731079 | + | 0.770483i | ||||
\(35\) | −1.34952 | − | 0.779144i | −0.228110 | − | 0.131699i | ||||
\(36\) | 1.69649 | + | 5.75517i | 0.282748 | + | 0.959194i | ||||
\(37\) | 2.70478 | − | 1.56160i | 0.444662 | − | 0.256726i | −0.260911 | − | 0.965363i | \(-0.584023\pi\) |
0.705573 | + | 0.708637i | \(0.250690\pi\) | |||||||
\(38\) | 0.102912 | − | 0.428762i | 0.0166945 | − | 0.0695544i | ||||
\(39\) | 0.260992 | − | 1.10484i | 0.0417921 | − | 0.176917i | ||||
\(40\) | 5.07416 | − | 2.87194i | 0.802295 | − | 0.454093i | ||||
\(41\) | 4.31331 | + | 5.14040i | 0.673626 | + | 0.802796i | 0.989273 | − | 0.146081i | \(-0.0466660\pi\) |
−0.315647 | + | 0.948877i | \(0.602222\pi\) | |||||||
\(42\) | 1.26783 | + | 1.34953i | 0.195631 | + | 0.208237i | ||||
\(43\) | −3.00565 | + | 1.09397i | −0.458358 | + | 0.166829i | −0.560871 | − | 0.827903i | \(-0.689534\pi\) |
0.102513 | + | 0.994732i | \(0.467312\pi\) | |||||||
\(44\) | −4.43390 | − | 3.34041i | −0.668436 | − | 0.503586i | ||||
\(45\) | −3.68563 | + | 4.96594i | −0.549421 | + | 0.740279i | ||||
\(46\) | 4.82749 | + | 9.68110i | 0.711774 | + | 1.42740i | ||||
\(47\) | −1.89499 | + | 10.7470i | −0.276412 | + | 1.56761i | 0.458028 | + | 0.888938i | \(0.348556\pi\) |
−0.734440 | + | 0.678673i | \(0.762555\pi\) | |||||||
\(48\) | −6.75813 | + | 1.52570i | −0.975451 | + | 0.220215i | ||||
\(49\) | −6.04087 | − | 2.19870i | −0.862982 | − | 0.314100i | ||||
\(50\) | −0.973509 | − | 0.423229i | −0.137675 | − | 0.0598537i | ||||
\(51\) | 6.96700 | + | 2.99917i | 0.975575 | + | 0.419968i | ||||
\(52\) | 1.25364 | + | 0.383124i | 0.173848 | + | 0.0531297i | ||||
\(53\) | −0.876371 | −0.120379 | −0.0601894 | − | 0.998187i | \(-0.519170\pi\) | ||||
−0.0601894 | + | 0.998187i | \(0.519170\pi\) | |||||||
\(54\) | 5.89718 | − | 4.38443i | 0.802505 | − | 0.596646i | ||||
\(55\) | − | 5.72182i | − | 0.771530i | ||||||
\(56\) | −1.64959 | + | 1.36028i | −0.220436 | + | 0.181775i | ||||
\(57\) | −0.536341 | + | 0.0630905i | −0.0710401 | + | 0.00835654i | ||||
\(58\) | 9.98008 | + | 4.33880i | 1.31045 | + | 0.569713i | ||||
\(59\) | 2.94714 | − | 8.09720i | 0.383685 | − | 1.05417i | −0.586107 | − | 0.810233i | \(-0.699340\pi\) |
0.969792 | − | 0.243932i | \(-0.0784374\pi\) | |||||||
\(60\) | −5.44738 | − | 4.61721i | −0.703254 | − | 0.596080i | ||||
\(61\) | −12.1748 | − | 2.14675i | −1.55883 | − | 0.274863i | −0.673271 | − | 0.739395i | \(-0.735111\pi\) |
−0.885556 | + | 0.464532i | \(0.846223\pi\) | |||||||
\(62\) | −5.34862 | + | 2.66709i | −0.679275 | + | 0.338721i | ||||
\(63\) | 1.01480 | − | 2.02808i | 0.127852 | − | 0.255515i | ||||
\(64\) | −1.25411 | − | 7.90109i | −0.156763 | − | 0.987636i | ||||
\(65\) | 0.462111 | + | 1.26964i | 0.0573178 | + | 0.157479i | ||||
\(66\) | −1.96376 | + | 6.50926i | −0.241722 | + | 0.801234i | ||||
\(67\) | 3.32854 | − | 2.79298i | 0.406646 | − | 0.341216i | −0.416410 | − | 0.909177i | \(-0.636712\pi\) |
0.823056 | + | 0.567961i | \(0.192267\pi\) | |||||||
\(68\) | −3.97543 | + | 7.80437i | −0.482092 | + | 0.946419i | ||||
\(69\) | 9.08507 | − | 9.64386i | 1.09371 | − | 1.16098i | ||||
\(70\) | −2.14289 | − | 0.514337i | −0.256124 | − | 0.0614750i | ||||
\(71\) | −7.08002 | − | 12.2629i | −0.840243 | − | 1.45534i | −0.889689 | − | 0.456567i | \(-0.849079\pi\) |
0.0494456 | − | 0.998777i | \(-0.484255\pi\) | |||||||
\(72\) | 4.61240 | + | 7.12220i | 0.543576 | + | 0.839360i | ||||
\(73\) | 7.17342 | − | 12.4247i | 0.839585 | − | 1.45420i | −0.0506575 | − | 0.998716i | \(-0.516132\pi\) |
0.890242 | − | 0.455487i | \(-0.150535\pi\) | |||||||
\(74\) | 3.04020 | − | 3.20406i | 0.353416 | − | 0.372464i | ||||
\(75\) | −0.0746363 | + | 1.29796i | −0.00861826 | + | 0.149875i | ||||
\(76\) | −0.0327049 | − | 0.622725i | −0.00375151 | − | 0.0714314i | ||||
\(77\) | 0.364356 | + | 2.06636i | 0.0415222 | + | 0.235484i | ||||
\(78\) | −0.0899601 | − | 1.60297i | −0.0101860 | − | 0.181500i | ||||
\(79\) | 7.09014 | − | 8.44970i | 0.797703 | − | 0.950666i | −0.201883 | − | 0.979410i | \(-0.564706\pi\) |
0.999587 | + | 0.0287437i | \(0.00915065\pi\) | |||||||
\(80\) | 5.72657 | − | 5.93267i | 0.640250 | − | 0.663293i | ||||
\(81\) | −7.53396 | − | 4.92336i | −0.837106 | − | 0.547040i | ||||
\(82\) | 7.91372 | + | 5.23734i | 0.873924 | + | 0.578368i | ||||
\(83\) | −7.10823 | + | 8.47125i | −0.780229 | + | 0.929841i | −0.998944 | − | 0.0459479i | \(-0.985369\pi\) |
0.218715 | + | 0.975789i | \(0.429814\pi\) | |||||||
\(84\) | 2.26127 | + | 1.32057i | 0.246725 | + | 0.144086i | ||||
\(85\) | −8.89031 | + | 1.56760i | −0.964289 | + | 0.170030i | ||||
\(86\) | −3.63604 | + | 2.69084i | −0.392085 | + | 0.290161i | ||||
\(87\) | 0.765146 | − | 13.3062i | 0.0820322 | − | 1.42658i | ||||
\(88\) | −7.35412 | − | 2.74820i | −0.783952 | − | 0.292959i | ||||
\(89\) | 5.55986 | + | 3.20999i | 0.589344 | + | 0.340258i | 0.764838 | − | 0.644222i | \(-0.222819\pi\) |
−0.175494 | + | 0.984481i | \(0.556152\pi\) | |||||||
\(90\) | −3.00256 | + | 8.21423i | −0.316497 | + | 0.865856i | ||||
\(91\) | −0.247734 | − | 0.429088i | −0.0259696 | − | 0.0449807i | ||||
\(92\) | 10.4351 | + | 11.1878i | 1.08793 | + | 1.16640i | ||||
\(93\) | 5.32804 | + | 5.01932i | 0.552492 | + | 0.520479i | ||||
\(94\) | 1.74792 | + | 15.3337i | 0.180284 | + | 1.58155i | ||||
\(95\) | 0.492358 | − | 0.413138i | 0.0505149 | − | 0.0423870i | ||||
\(96\) | −8.55078 | + | 4.78374i | −0.872710 | + | 0.488238i | ||||
\(97\) | 1.59192 | − | 0.579411i | 0.161635 | − | 0.0588303i | −0.259935 | − | 0.965626i | \(-0.583701\pi\) |
0.421570 | + | 0.906796i | \(0.361479\pi\) | |||||||
\(98\) | −9.07443 | − | 0.554511i | −0.916656 | − | 0.0560140i | ||||
\(99\) | 8.31226 | − | 0.496445i | 0.835414 | − | 0.0498946i | ||||
\(100\) | −1.49006 | − | 0.182788i | −0.149006 | − | 0.0182788i | ||||
\(101\) | 0.0772824 | − | 0.438290i | 0.00768988 | − | 0.0436115i | −0.980721 | − | 0.195411i | \(-0.937396\pi\) |
0.988411 | + | 0.151800i | \(0.0485069\pi\) | |||||||
\(102\) | 10.6518 | + | 1.26786i | 1.05469 | + | 0.125537i | ||||
\(103\) | −4.31107 | + | 11.8446i | −0.424782 | + | 1.16708i | 0.524157 | + | 0.851621i | \(0.324380\pi\) |
−0.948940 | + | 0.315458i | \(0.897842\pi\) | |||||||
\(104\) | 1.85379 | + | 0.0158691i | 0.181779 | + | 0.00155610i | ||||
\(105\) | 0.315317 | + | 2.68055i | 0.0307718 | + | 0.261595i | ||||
\(106\) | −1.18832 | + | 0.352068i | −0.115420 | + | 0.0341958i | ||||
\(107\) | − | 9.16557i | − | 0.886069i | −0.896505 | − | 0.443034i | \(-0.853902\pi\) | ||
0.896505 | − | 0.443034i | \(-0.146098\pi\) | |||||||
\(108\) | 6.23493 | − | 8.31418i | 0.599957 | − | 0.800033i | ||||
\(109\) | − | 12.6300i | − | 1.20973i | −0.796327 | − | 0.604867i | \(-0.793226\pi\) | ||
0.796327 | − | 0.604867i | \(-0.206774\pi\) | |||||||
\(110\) | −2.29865 | − | 7.75852i | −0.219167 | − | 0.739746i | ||||
\(111\) | −4.96872 | − | 2.13895i | −0.471610 | − | 0.203020i | ||||
\(112\) | −1.69030 | + | 2.50717i | −0.159718 | + | 0.236905i | ||||
\(113\) | −4.39773 | + | 12.0827i | −0.413703 | + | 1.13664i | 0.541503 | + | 0.840699i | \(0.317856\pi\) |
−0.955206 | + | 0.295942i | \(0.904367\pi\) | |||||||
\(114\) | −0.701908 | + | 0.301014i | −0.0657397 | + | 0.0281925i | ||||
\(115\) | −2.73819 | + | 15.5291i | −0.255338 | + | 1.44809i | ||||
\(116\) | 15.2756 | + | 1.87388i | 1.41830 | + | 0.173986i | ||||
\(117\) | −1.80435 | + | 0.781481i | −0.166812 | + | 0.0722479i | ||||
\(118\) | 0.743267 | − | 12.1634i | 0.0684233 | − | 1.11973i | ||||
\(119\) | 3.11080 | − | 1.13224i | 0.285167 | − | 0.103792i | ||||
\(120\) | −9.24129 | − | 4.07233i | −0.843610 | − | 0.371751i | ||||
\(121\) | 2.52453 | − | 2.11833i | 0.229503 | − | 0.192576i | ||||
\(122\) | −17.3709 | + | 1.98014i | −1.57269 | + | 0.179274i | ||||
\(123\) | 2.67201 | − | 11.3113i | 0.240927 | − | 1.01991i | ||||
\(124\) | −6.18101 | + | 5.76517i | −0.555071 | + | 0.517728i | ||||
\(125\) | −5.92717 | − | 10.2662i | −0.530142 | − | 0.918233i | ||||
\(126\) | 0.561268 | − | 3.15767i | 0.0500017 | − | 0.281307i | ||||
\(127\) | 3.31139 | + | 1.91183i | 0.293838 | + | 0.169648i | 0.639671 | − | 0.768648i | \(-0.279070\pi\) |
−0.345833 | + | 0.938296i | \(0.612404\pi\) | |||||||
\(128\) | −4.87464 | − | 10.2097i | −0.430862 | − | 0.902418i | ||||
\(129\) | 4.63089 | + | 3.04089i | 0.407727 | + | 0.267736i | ||||
\(130\) | 1.13666 | + | 1.53593i | 0.0996915 | + | 0.134710i | ||||
\(131\) | −13.1264 | + | 2.31454i | −1.14686 | + | 0.202222i | −0.714604 | − | 0.699529i | \(-0.753393\pi\) |
−0.432255 | + | 0.901751i | \(0.642282\pi\) | |||||||
\(132\) | −0.0477761 | + | 9.61516i | −0.00415838 | + | 0.836892i | ||||
\(133\) | −0.151501 | + | 0.180552i | −0.0131368 | + | 0.0156559i | ||||
\(134\) | 3.39131 | − | 5.12433i | 0.292965 | − | 0.442675i | ||||
\(135\) | 10.7113 | − | 0.0237142i | 0.921886 | − | 0.00204099i | ||||
\(136\) | −2.25523 | + | 12.1794i | −0.193384 | + | 1.04438i | ||||
\(137\) | 8.71665 | − | 10.3881i | 0.744714 | − | 0.887516i | −0.252065 | − | 0.967710i | \(-0.581110\pi\) |
0.996779 | + | 0.0801947i | \(0.0255542\pi\) | |||||||
\(138\) | 8.44467 | − | 16.7264i | 0.718858 | − | 1.42385i | ||||
\(139\) | 0.183415 | + | 1.04020i | 0.0155571 | + | 0.0882286i | 0.991598 | − | 0.129360i | \(-0.0412921\pi\) |
−0.976041 | + | 0.217588i | \(0.930181\pi\) | |||||||
\(140\) | −3.11229 | + | 0.163454i | −0.263036 | + | 0.0138144i | ||||
\(141\) | 16.8847 | − | 8.49544i | 1.42195 | − | 0.715445i | ||||
\(142\) | −14.5266 | − | 13.7837i | −1.21905 | − | 1.15670i | ||||
\(143\) | 0.909646 | − | 1.57555i | 0.0760685 | − | 0.131754i | ||||
\(144\) | 9.11543 | + | 7.80442i | 0.759619 | + | 0.650368i | ||||
\(145\) | 7.93129 | + | 13.7374i | 0.658658 | + | 1.14083i | ||||
\(146\) | 4.73539 | − | 19.7291i | 0.391904 | − | 1.63280i | ||||
\(147\) | 3.20131 | + | 10.6645i | 0.264040 | + | 0.879590i | ||||
\(148\) | 2.83519 | − | 5.56591i | 0.233052 | − | 0.457515i | ||||
\(149\) | 17.2009 | − | 14.4333i | 1.40915 | − | 1.18242i | 0.452294 | − | 0.891869i | \(-0.350606\pi\) |
0.956859 | − | 0.290551i | \(-0.0938387\pi\) | |||||||
\(150\) | 0.420230 | + | 1.78995i | 0.0343116 | + | 0.146149i | ||||
\(151\) | 6.78428 | + | 18.6396i | 0.552097 | + | 1.51687i | 0.830842 | + | 0.556508i | \(0.187859\pi\) |
−0.278746 | + | 0.960365i | \(0.589919\pi\) | |||||||
\(152\) | −0.294516 | − | 0.831247i | −0.0238884 | − | 0.0674230i | ||||
\(153\) | −3.04866 | − | 12.7792i | −0.246469 | − | 1.03314i | ||||
\(154\) | 1.32418 | + | 2.65552i | 0.106705 | + | 0.213988i | ||||
\(155\) | −8.57950 | − | 1.51280i | −0.689122 | − | 0.121511i | ||||
\(156\) | −0.765947 | − | 2.13741i | −0.0613248 | − | 0.171130i | ||||
\(157\) | −5.37486 | + | 14.7673i | −0.428960 | + | 1.17856i | 0.517485 | + | 0.855693i | \(0.326868\pi\) |
−0.946445 | + | 0.322866i | \(0.895354\pi\) | |||||||
\(158\) | 6.21938 | − | 14.3058i | 0.494787 | − | 1.13810i | ||||
\(159\) | 0.907337 | + | 1.21689i | 0.0719565 | + | 0.0965055i | ||||
\(160\) | 5.38161 | − | 10.3450i | 0.425454 | − | 0.817843i | ||||
\(161\) | − | 5.78249i | − | 0.455724i | ||||||
\(162\) | −12.1936 | − | 3.64921i | −0.958018 | − | 0.286709i | ||||
\(163\) | −11.3706 | −0.890618 | −0.445309 | − | 0.895377i | \(-0.646906\pi\) | ||||
−0.445309 | + | 0.895377i | \(0.646906\pi\) | |||||||
\(164\) | 12.8347 | + | 3.92239i | 1.00222 | + | 0.306287i | ||||
\(165\) | −7.94506 | + | 5.92400i | −0.618522 | + | 0.461182i | ||||
\(166\) | −6.23524 | + | 14.3422i | −0.483948 | + | 1.11317i | ||||
\(167\) | −10.8721 | − | 3.95710i | −0.841305 | − | 0.306210i | −0.114815 | − | 0.993387i | \(-0.536627\pi\) |
−0.726490 | + | 0.687177i | \(0.758850\pi\) | |||||||
\(168\) | 3.59670 | + | 0.882203i | 0.277491 | + | 0.0680634i | ||||
\(169\) | 2.18283 | − | 12.3794i | 0.167910 | − | 0.952264i | ||||
\(170\) | −11.4251 | + | 5.69713i | −0.876264 | + | 0.436950i | ||||
\(171\) | 0.642896 | + | 0.679419i | 0.0491635 | + | 0.0519564i | ||||
\(172\) | −3.84930 | + | 5.10938i | −0.293507 | + | 0.389586i | ||||
\(173\) | −6.70079 | + | 2.43889i | −0.509452 | + | 0.185425i | −0.583940 | − | 0.811797i | \(-0.698490\pi\) |
0.0744886 | + | 0.997222i | \(0.476268\pi\) | |||||||
\(174\) | −4.30805 | − | 18.3500i | −0.326592 | − | 1.39111i | ||||
\(175\) | 0.364728 | + | 0.434665i | 0.0275708 | + | 0.0328576i | ||||
\(176\) | −11.0759 | − | 0.772031i | −0.834877 | − | 0.0581940i | ||||
\(177\) | −14.2947 | + | 4.29104i | −1.07445 | + | 0.322535i | ||||
\(178\) | 8.82848 | + | 2.11901i | 0.661722 | + | 0.158827i | ||||
\(179\) | 5.44606 | − | 3.14429i | 0.407058 | − | 0.235015i | −0.282467 | − | 0.959277i | \(-0.591153\pi\) |
0.689525 | + | 0.724262i | \(0.257819\pi\) | |||||||
\(180\) | −0.771393 | + | 12.3443i | −0.0574963 | + | 0.920093i | ||||
\(181\) | −12.3575 | − | 7.13460i | −0.918525 | − | 0.530311i | −0.0353608 | − | 0.999375i | \(-0.511258\pi\) |
−0.883164 | + | 0.469064i | \(0.844591\pi\) | |||||||
\(182\) | −0.508295 | − | 0.482301i | −0.0376773 | − | 0.0357505i | ||||
\(183\) | 9.62414 | + | 19.1280i | 0.711437 | + | 1.41398i | ||||
\(184\) | 18.6440 | + | 10.9780i | 1.37445 | + | 0.809306i | ||||
\(185\) | 6.34038 | − | 1.11798i | 0.466154 | − | 0.0821955i | ||||
\(186\) | 9.24101 | + | 4.66551i | 0.677583 | + | 0.342092i | ||||
\(187\) | 9.31166 | + | 7.81341i | 0.680936 | + | 0.571373i | ||||
\(188\) | 8.53016 | + | 20.0896i | 0.622126 | + | 1.46519i | ||||
\(189\) | −3.86676 | + | 0.690644i | −0.281265 | + | 0.0502370i | ||||
\(190\) | 0.501644 | − | 0.757992i | 0.0363931 | − | 0.0549905i | ||||
\(191\) | 7.59946 | + | 6.37671i | 0.549878 | + | 0.461402i | 0.874900 | − | 0.484304i | \(-0.160927\pi\) |
−0.325022 | + | 0.945706i | \(0.605372\pi\) | |||||||
\(192\) | −9.67267 | + | 9.92166i | −0.698065 | + | 0.716034i | ||||
\(193\) | −1.18184 | − | 6.70255i | −0.0850707 | − | 0.482460i | −0.997341 | − | 0.0728719i | \(-0.976784\pi\) |
0.912271 | − | 0.409588i | \(-0.134328\pi\) | |||||||
\(194\) | 1.92580 | − | 1.42518i | 0.138264 | − | 0.102322i | ||||
\(195\) | 1.28452 | − | 1.95617i | 0.0919867 | − | 0.140084i | ||||
\(196\) | −12.5273 | + | 2.89361i | −0.894805 | + | 0.206687i | ||||
\(197\) | −3.08336 | + | 5.34054i | −0.219681 | + | 0.380498i | −0.954710 | − | 0.297537i | \(-0.903835\pi\) |
0.735030 | + | 0.678035i | \(0.237168\pi\) | |||||||
\(198\) | 11.0716 | − | 4.01247i | 0.786824 | − | 0.285154i | ||||
\(199\) | −2.83677 | + | 1.63781i | −0.201093 | + | 0.116101i | −0.597165 | − | 0.802118i | \(-0.703706\pi\) |
0.396072 | + | 0.918219i | \(0.370373\pi\) | |||||||
\(200\) | −2.09388 | + | 0.350754i | −0.148060 | + | 0.0248021i | ||||
\(201\) | −7.32435 | − | 1.73019i | −0.516620 | − | 0.122038i | ||||
\(202\) | −0.0712845 | − | 0.625348i | −0.00501556 | − | 0.0439993i | ||||
\(203\) | −3.73906 | − | 4.45604i | −0.262431 | − | 0.312753i | ||||
\(204\) | 14.9527 | − | 2.56002i | 1.04690 | − | 0.179237i | ||||
\(205\) | 4.73105 | + | 12.9985i | 0.330431 | + | 0.907852i | ||||
\(206\) | −1.08725 | + | 17.7926i | −0.0757523 | + | 1.23967i | ||||
\(207\) | −22.7971 | − | 2.63050i | −1.58451 | − | 0.182832i | ||||
\(208\) | 2.52003 | − | 0.723212i | 0.174733 | − | 0.0501457i | ||||
\(209\) | −0.852289 | − | 0.150282i | −0.0589541 | − | 0.0103952i | ||||
\(210\) | 1.50442 | + | 3.50803i | 0.103815 | + | 0.242077i | ||||
\(211\) | 6.00891 | + | 2.18706i | 0.413670 | + | 0.150564i | 0.540467 | − | 0.841365i | \(-0.318247\pi\) |
−0.126797 | + | 0.991929i | \(0.540470\pi\) | |||||||
\(212\) | −1.46987 | + | 0.954775i | −0.100951 | + | 0.0655742i | ||||
\(213\) | −9.69759 | + | 22.5272i | −0.664468 | + | 1.54354i | ||||
\(214\) | −3.68212 | − | 12.4281i | −0.251704 | − | 0.849566i | ||||
\(215\) | −6.59350 | −0.449673 | ||||||||
\(216\) | 5.11419 | − | 13.7784i | 0.347977 | − | 0.937503i | ||||
\(217\) | 3.19471 | 0.216871 | ||||||||
\(218\) | −5.07389 | − | 17.1257i | −0.343647 | − | 1.15990i | ||||
\(219\) | −24.6793 | + | 2.90306i | −1.66767 | + | 0.196170i | ||||
\(220\) | −6.23372 | − | 9.59675i | −0.420277 | − | 0.647013i | ||||
\(221\) | −2.69724 | − | 0.981715i | −0.181436 | − | 0.0660373i | ||||
\(222\) | −7.59664 | − | 0.904213i | −0.509853 | − | 0.0606868i | ||||
\(223\) | 16.3621 | + | 2.88507i | 1.09568 | + | 0.193199i | 0.692141 | − | 0.721762i | \(-0.256667\pi\) |
0.403543 | + | 0.914961i | \(0.367779\pi\) | |||||||
\(224\) | −1.28475 | + | 4.07865i | −0.0858410 | + | 0.272517i | ||||
\(225\) | 1.87956 | − | 1.24018i | 0.125304 | − | 0.0826789i | ||||
\(226\) | −1.10911 | + | 18.1502i | −0.0737766 | + | 1.20734i | ||||
\(227\) | 0.151200 | + | 0.415419i | 0.0100355 | + | 0.0275724i | 0.944609 | − | 0.328197i | \(-0.106441\pi\) |
−0.934574 | + | 0.355770i | \(0.884219\pi\) | |||||||
\(228\) | −0.830827 | + | 0.690141i | −0.0550228 | + | 0.0457057i | ||||
\(229\) | 6.21678 | + | 7.40887i | 0.410817 | + | 0.489592i | 0.931286 | − | 0.364288i | \(-0.118688\pi\) |
−0.520470 | + | 0.853880i | \(0.674243\pi\) | |||||||
\(230\) | 2.52568 | + | 22.1567i | 0.166539 | + | 1.46097i | ||||
\(231\) | 2.49203 | − | 2.64531i | 0.163964 | − | 0.174048i | ||||
\(232\) | 21.4658 | − | 3.59581i | 1.40930 | − | 0.236076i | ||||
\(233\) | 1.49279 | − | 0.861864i | 0.0977961 | − | 0.0564626i | −0.450304 | − | 0.892875i | \(-0.648685\pi\) |
0.548100 | + | 0.836413i | \(0.315351\pi\) | |||||||
\(234\) | −2.13267 | + | 1.78452i | −0.139417 | + | 0.116658i | ||||
\(235\) | −11.2478 | + | 19.4818i | −0.733728 | + | 1.27085i | ||||
\(236\) | −3.87861 | − | 16.7916i | −0.252476 | − | 1.09304i | ||||
\(237\) | −19.0735 | − | 1.09678i | −1.23896 | − | 0.0712438i | ||||
\(238\) | 3.76325 | − | 2.78498i | 0.243935 | − | 0.180523i | ||||
\(239\) | 1.11054 | + | 6.29821i | 0.0718351 | + | 0.407397i | 0.999428 | + | 0.0338057i | \(0.0107627\pi\) |
−0.927593 | + | 0.373592i | \(0.878126\pi\) | |||||||
\(240\) | −14.1667 | − | 1.80936i | −0.914460 | − | 0.116793i | ||||
\(241\) | −13.9890 | − | 11.7382i | −0.901114 | − | 0.756124i | 0.0692941 | − | 0.997596i | \(-0.477925\pi\) |
−0.970408 | + | 0.241472i | \(0.922370\pi\) | |||||||
\(242\) | 2.57214 | − | 3.88655i | 0.165343 | − | 0.249837i | ||||
\(243\) | 0.963804 | + | 15.5586i | 0.0618281 | + | 0.998087i | ||||
\(244\) | −22.7587 | + | 9.66347i | −1.45698 | + | 0.618640i | ||||
\(245\) | −10.1515 | − | 8.51813i | −0.648557 | − | 0.544204i | ||||
\(246\) | −0.921004 | − | 16.4110i | −0.0587211 | − | 1.04633i | ||||
\(247\) | 0.201255 | − | 0.0354867i | 0.0128056 | − | 0.00225797i | ||||
\(248\) | −6.06510 | + | 10.3004i | −0.385135 | + | 0.654078i | ||||
\(249\) | 19.1222 | + | 1.09958i | 1.21182 | + | 0.0696832i | ||||
\(250\) | −12.1612 | − | 11.5393i | −0.769144 | − | 0.729809i | ||||
\(251\) | 22.9769 | + | 13.2657i | 1.45029 | + | 0.837325i | 0.998497 | − | 0.0547989i | \(-0.0174518\pi\) |
0.451791 | + | 0.892124i | \(0.350785\pi\) | |||||||
\(252\) | −0.507488 | − | 4.50713i | −0.0319687 | − | 0.283922i | ||||
\(253\) | 18.3879 | − | 10.6163i | 1.15604 | − | 0.667438i | ||||
\(254\) | 5.25814 | + | 1.26206i | 0.329925 | + | 0.0791886i | ||||
\(255\) | 11.3811 | + | 10.7217i | 0.712714 | + | 0.671418i | ||||
\(256\) | −10.7114 | − | 11.8856i | −0.669460 | − | 0.742848i | ||||
\(257\) | 14.9145 | + | 17.7744i | 0.930341 | + | 1.10874i | 0.993848 | + | 0.110755i | \(0.0353270\pi\) |
−0.0635070 | + | 0.997981i | \(0.520229\pi\) | |||||||
\(258\) | 7.50090 | + | 2.26292i | 0.466986 | + | 0.140883i | ||||
\(259\) | −2.21856 | + | 0.807489i | −0.137855 | + | 0.0501749i | ||||
\(260\) | 2.15829 | + | 1.62601i | 0.133851 | + | 0.100841i | ||||
\(261\) | −19.2686 | + | 12.7139i | −1.19270 | + | 0.786972i | ||||
\(262\) | −16.8690 | + | 8.41173i | −1.04217 | + | 0.519678i | ||||
\(263\) | −2.19804 | + | 12.4657i | −0.135537 | + | 0.768669i | 0.838947 | + | 0.544213i | \(0.183172\pi\) |
−0.974484 | + | 0.224456i | \(0.927939\pi\) | |||||||
\(264\) | 3.79795 | + | 13.0569i | 0.233748 | + | 0.803597i | ||||
\(265\) | −1.69761 | − | 0.617878i | −0.104283 | − | 0.0379559i | ||||
\(266\) | −0.132895 | + | 0.305683i | −0.00814830 | + | 0.0187427i | ||||
\(267\) | −1.29907 | − | 11.0436i | −0.0795019 | − | 0.675856i | ||||
\(268\) | 2.53984 | − | 8.31076i | 0.155146 | − | 0.507660i | ||||
\(269\) | −1.20091 | −0.0732208 | −0.0366104 | − | 0.999330i | \(-0.511656\pi\) | ||||
−0.0366104 | + | 0.999330i | \(0.511656\pi\) | |||||||
\(270\) | 14.5146 | − | 4.33526i | 0.883328 | − | 0.263836i | ||||
\(271\) | − | 5.81199i | − | 0.353053i | −0.984296 | − | 0.176527i | \(-0.943514\pi\) | ||
0.984296 | − | 0.176527i | \(-0.0564862\pi\) | |||||||
\(272\) | 1.83490 | + | 17.4207i | 0.111257 | + | 1.05629i | ||||
\(273\) | −0.339325 | + | 0.788242i | −0.0205369 | + | 0.0477066i | ||||
\(274\) | 7.64613 | − | 17.5876i | 0.461919 | − | 1.06250i | ||||
\(275\) | −0.712590 | + | 1.95782i | −0.0429708 | + | 0.118061i | ||||
\(276\) | 4.73102 | − | 26.0727i | 0.284774 | − | 1.56939i | ||||
\(277\) | 14.3435 | + | 2.52915i | 0.861817 | + | 0.151962i | 0.587051 | − | 0.809550i | \(-0.300289\pi\) |
0.274766 | + | 0.961511i | \(0.411400\pi\) | |||||||
\(278\) | 0.666586 | + | 1.33678i | 0.0399792 | + | 0.0801746i | ||||
\(279\) | 1.45330 | − | 12.5949i | 0.0870067 | − | 0.754040i | ||||
\(280\) | −4.15445 | + | 1.47195i | −0.248276 | + | 0.0879656i | ||||
\(281\) | −3.34759 | − | 9.19743i | −0.199701 | − | 0.548673i | 0.798905 | − | 0.601457i | \(-0.205413\pi\) |
−0.998606 | + | 0.0527839i | \(0.983191\pi\) | |||||||
\(282\) | 19.4820 | − | 18.3026i | 1.16014 | − | 1.08990i | ||||
\(283\) | −1.06126 | + | 0.890502i | −0.0630853 | + | 0.0529348i | −0.673785 | − | 0.738927i | \(-0.735333\pi\) |
0.610700 | + | 0.791862i | \(0.290888\pi\) | |||||||
\(284\) | −25.2348 | − | 12.8542i | −1.49741 | − | 0.762759i | ||||
\(285\) | −1.08342 | − | 0.255931i | −0.0641762 | − | 0.0151600i | ||||
\(286\) | 0.600485 | − | 2.50181i | 0.0355074 | − | 0.147935i | ||||
\(287\) | −2.53628 | − | 4.39297i | −0.149712 | − | 0.259309i | ||||
\(288\) | 15.4954 | + | 6.92046i | 0.913075 | + | 0.407792i | ||||
\(289\) | 1.08903 | − | 1.88625i | 0.0640603 | − | 0.110956i | ||||
\(290\) | 16.2732 | + | 15.4410i | 0.955597 | + | 0.906727i | ||||
\(291\) | −2.45271 | − | 1.61058i | −0.143781 | − | 0.0944140i | ||||
\(292\) | −1.50489 | − | 28.6542i | −0.0880671 | − | 1.67686i | ||||
\(293\) | 0.541790 | + | 3.07264i | 0.0316517 | + | 0.179506i | 0.996535 | − | 0.0831727i | \(-0.0265053\pi\) |
−0.964883 | + | 0.262678i | \(0.915394\pi\) | |||||||
\(294\) | 8.62510 | + | 13.1744i | 0.503026 | + | 0.768349i | ||||
\(295\) | 11.4177 | − | 13.6071i | 0.664766 | − | 0.792237i | ||||
\(296\) | 1.60838 | − | 8.68611i | 0.0934851 | − | 0.504870i | ||||
\(297\) | −9.29531 | − | 11.0280i | −0.539368 | − | 0.639912i | ||||
\(298\) | 17.5253 | − | 26.4810i | 1.01521 | − | 1.53401i | ||||
\(299\) | −3.22277 | + | 3.84075i | −0.186378 | + | 0.222116i | ||||
\(300\) | 1.28890 | + | 2.25827i | 0.0744145 | + | 0.130382i | ||||
\(301\) | 2.38116 | − | 0.419863i | 0.137248 | − | 0.0242005i | ||||
\(302\) | 16.6873 | + | 22.5490i | 0.960248 | + | 1.29755i | ||||
\(303\) | −0.688603 | + | 0.346466i | −0.0395592 | + | 0.0199039i | ||||
\(304\) | −0.733290 | − | 1.00882i | −0.0420570 | − | 0.0578595i | ||||
\(305\) | −22.0702 | − | 12.7422i | −1.26373 | − | 0.729617i | ||||
\(306\) | −9.26767 | − | 16.1033i | −0.529798 | − | 0.920562i | ||||
\(307\) | −13.5864 | − | 23.5323i | −0.775415 | − | 1.34306i | −0.934561 | − | 0.355803i | \(-0.884207\pi\) |
0.159146 | − | 0.987255i | \(-0.449126\pi\) | |||||||
\(308\) | 2.86234 | + | 3.06880i | 0.163097 | + | 0.174861i | ||||
\(309\) | 20.9102 | − | 6.27693i | 1.18954 | − | 0.357082i | ||||
\(310\) | −12.2411 | + | 1.39539i | −0.695250 | + | 0.0792528i | ||||
\(311\) | 15.0893 | − | 12.6614i | 0.855634 | − | 0.717962i | −0.105389 | − | 0.994431i | \(-0.533609\pi\) |
0.961023 | + | 0.276469i | \(0.0891644\pi\) | |||||||
\(312\) | −1.89726 | − | 2.59052i | −0.107411 | − | 0.146659i | ||||
\(313\) | 12.9477 | − | 4.71256i | 0.731845 | − | 0.266370i | 0.0508993 | − | 0.998704i | \(-0.483791\pi\) |
0.680946 | + | 0.732334i | \(0.261569\pi\) | |||||||
\(314\) | −1.35554 | + | 22.1830i | −0.0764973 | + | 1.25186i | ||||
\(315\) | 3.39563 | − | 3.21310i | 0.191322 | − | 0.181038i | ||||
\(316\) | 2.68608 | − | 21.8965i | 0.151104 | − | 1.23177i | ||||
\(317\) | 1.93237 | − | 10.9590i | 0.108533 | − | 0.615521i | −0.881217 | − | 0.472711i | \(-0.843275\pi\) |
0.989750 | − | 0.142809i | \(-0.0456135\pi\) | |||||||
\(318\) | 1.71917 | + | 1.28554i | 0.0964063 | + | 0.0720893i | ||||
\(319\) | 7.30522 | − | 20.0709i | 0.409014 | − | 1.12376i | ||||
\(320\) | 3.14128 | − | 16.1893i | 0.175603 | − | 0.905009i | ||||
\(321\) | −12.7269 | + | 9.48942i | −0.710346 | + | 0.529648i | ||||
\(322\) | −2.32302 | − | 7.84079i | −0.129457 | − | 0.436950i | ||||
\(323\) | 1.36542i | 0.0759740i | ||||||||
\(324\) | −17.9999 | − | 0.0495875i | −0.999996 | − | 0.00275486i | ||||
\(325\) | − | 0.491981i | − | 0.0272902i | ||||||
\(326\) | −15.4181 | + | 4.56797i | −0.853928 | + | 0.252997i | ||||
\(327\) | −17.5374 | + | 13.0763i | −0.969822 | + | 0.723119i | ||||
\(328\) | 18.9789 | + | 0.162467i | 1.04794 | + | 0.00897073i | ||||
\(329\) | 2.82145 | − | 7.75186i | 0.155551 | − | 0.427374i | ||||
\(330\) | −8.39326 | + | 11.2245i | −0.462034 | + | 0.617886i | ||||
\(331\) | −3.55339 | + | 20.1523i | −0.195312 | + | 1.10767i | 0.716661 | + | 0.697421i | \(0.245669\pi\) |
−0.911973 | + | 0.410249i | \(0.865442\pi\) | |||||||
\(332\) | −2.69293 | + | 21.9523i | −0.147794 | + | 1.20479i | ||||
\(333\) | 2.17424 | + | 9.11386i | 0.119147 | + | 0.499436i | ||||
\(334\) | −16.3317 | − | 0.997980i | −0.893631 | − | 0.0546070i | ||||
\(335\) | 8.41683 | − | 3.06348i | 0.459860 | − | 0.167376i | ||||
\(336\) | 5.23136 | − | 0.248688i | 0.285394 | − | 0.0135670i | ||||
\(337\) | −27.2025 | + | 22.8256i | −1.48181 | + | 1.24339i | −0.577591 | + | 0.816326i | \(0.696007\pi\) |
−0.904222 | + | 0.427062i | \(0.859548\pi\) | |||||||
\(338\) | −2.01342 | − | 17.6628i | −0.109516 | − | 0.960732i | ||||
\(339\) | 21.3305 | − | 6.40310i | 1.15852 | − | 0.347769i | ||||
\(340\) | −13.2032 | + | 12.3149i | −0.716042 | + | 0.667868i | ||||
\(341\) | 5.86527 | + | 10.1590i | 0.317622 | + | 0.550138i | ||||
\(342\) | 1.14468 | + | 0.662987i | 0.0618974 | + | 0.0358502i | ||||
\(343\) | 8.79113 | + | 5.07556i | 0.474676 | + | 0.274054i | ||||
\(344\) | −3.16687 | + | 8.47447i | −0.170746 | + | 0.456913i | ||||
\(345\) | 24.3979 | − | 12.2756i | 1.31354 | − | 0.660898i | ||||
\(346\) | −8.10618 | + | 5.99895i | −0.435791 | + | 0.322506i | ||||
\(347\) | 11.0057 | − | 1.94061i | 0.590818 | − | 0.104177i | 0.129757 | − | 0.991546i | \(-0.458580\pi\) |
0.461061 | + | 0.887369i | \(0.347469\pi\) | |||||||
\(348\) | −13.2133 | − | 23.1510i | −0.708308 | − | 1.24103i | ||||
\(349\) | 18.9269 | − | 22.5561i | 1.01313 | − | 1.20740i | 0.0350059 | − | 0.999387i | \(-0.488855\pi\) |
0.978125 | − | 0.208016i | \(-0.0667006\pi\) | |||||||
\(350\) | 0.669173 | + | 0.442863i | 0.0357688 | + | 0.0236720i | ||||
\(351\) | 2.95323 | + | 1.69634i | 0.157632 | + | 0.0905441i | ||||
\(352\) | −15.3285 | + | 3.40272i | −0.817014 | + | 0.181366i | ||||
\(353\) | 1.05874 | − | 1.26175i | 0.0563508 | − | 0.0671563i | −0.737133 | − | 0.675748i | \(-0.763821\pi\) |
0.793484 | + | 0.608592i | \(0.208265\pi\) | |||||||
\(354\) | −17.6591 | + | 11.5611i | −0.938569 | + | 0.614466i | ||||
\(355\) | −5.06871 | − | 28.7461i | −0.269019 | − | 1.52568i | ||||
\(356\) | 12.8223 | − | 0.673414i | 0.679580 | − | 0.0356909i | ||||
\(357\) | −4.79290 | − | 3.14727i | −0.253667 | − | 0.166571i | ||||
\(358\) | 6.12144 | − | 6.45137i | 0.323528 | − | 0.340966i | ||||
\(359\) | 5.17384 | − | 8.96135i | 0.273065 | − | 0.472962i | −0.696580 | − | 0.717479i | \(-0.745296\pi\) |
0.969645 | + | 0.244517i | \(0.0786293\pi\) | |||||||
\(360\) | 3.91316 | + | 17.0483i | 0.206242 | + | 0.898522i | ||||
\(361\) | 9.45139 | + | 16.3703i | 0.497442 | + | 0.861594i | ||||
\(362\) | −19.6224 | − | 4.70977i | −1.03133 | − | 0.247540i | ||||
\(363\) | −5.55515 | − | 1.31227i | −0.291570 | − | 0.0688761i | ||||
\(364\) | −0.882981 | − | 0.449778i | −0.0462808 | − | 0.0235748i | ||||
\(365\) | 22.6555 | − | 19.0102i | 1.18584 | − | 0.995039i | ||||
\(366\) | 20.7343 | + | 22.0704i | 1.08380 | + | 1.15364i | ||||
\(367\) | 2.26512 | + | 6.22336i | 0.118238 | + | 0.324857i | 0.984667 | − | 0.174444i | \(-0.0558127\pi\) |
−0.866429 | + | 0.499300i | \(0.833590\pi\) | |||||||
\(368\) | 29.6906 | + | 7.39569i | 1.54773 | + | 0.385527i | ||||
\(369\) | −18.4728 | + | 8.00074i | −0.961654 | + | 0.416502i | ||||
\(370\) | 8.14813 | − | 4.06307i | 0.423601 | − | 0.211229i | ||||
\(371\) | 0.652415 | + | 0.115038i | 0.0338717 | + | 0.00597249i | ||||
\(372\) | 14.4047 | + | 2.61380i | 0.746847 | + | 0.135519i | ||||
\(373\) | 3.26986 | − | 8.98387i | 0.169307 | − | 0.465167i | −0.825801 | − | 0.563962i | \(-0.809277\pi\) |
0.995108 | + | 0.0987948i | \(0.0314987\pi\) | |||||||
\(374\) | 15.7651 | + | 6.85382i | 0.815194 | + | 0.354403i | ||||
\(375\) | −8.11852 | + | 18.8591i | −0.419239 | + | 0.973880i | ||||
\(376\) | 19.6372 | + | 23.8137i | 1.01271 | + | 1.22810i | ||||
\(377\) | 5.04362i | 0.259759i | ||||||||
\(378\) | −4.96569 | + | 2.48989i | −0.255408 | + | 0.128066i | ||||
\(379\) | 32.8619 | 1.68800 | 0.844000 | − | 0.536343i | \(-0.180194\pi\) | ||||
0.844000 | + | 0.536343i | \(0.180194\pi\) | |||||||
\(380\) | 0.375695 | − | 1.22933i | 0.0192727 | − | 0.0630633i | ||||
\(381\) | −0.773712 | − | 6.57743i | −0.0396384 | − | 0.336972i | ||||
\(382\) | 12.8663 | + | 5.59356i | 0.658295 | + | 0.286191i | ||||
\(383\) | −17.7062 | − | 6.44453i | −0.904744 | − | 0.329300i | −0.152592 | − | 0.988289i | \(-0.548762\pi\) |
−0.752152 | + | 0.658989i | \(0.770984\pi\) | |||||||
\(384\) | −9.12983 | + | 17.3392i | −0.465905 | + | 0.884835i | ||||
\(385\) | −0.751085 | + | 4.25961i | −0.0382788 | + | 0.217090i | ||||
\(386\) | −4.29516 | − | 8.61356i | −0.218618 | − | 0.438419i | ||||
\(387\) | −0.572076 | − | 9.57858i | −0.0290802 | − | 0.486907i | ||||
\(388\) | 2.03875 | − | 2.70614i | 0.103502 | − | 0.137383i | ||||
\(389\) | −32.5922 | + | 11.8626i | −1.65249 | + | 0.601458i | −0.989157 | − | 0.146865i | \(-0.953082\pi\) |
−0.663335 | + | 0.748323i | \(0.730860\pi\) | |||||||
\(390\) | 0.955897 | − | 3.16851i | 0.0484037 | − | 0.160444i | ||||
\(391\) | −21.5328 | − | 25.6618i | −1.08896 | − | 1.29777i | ||||
\(392\) | −15.8239 | + | 8.95623i | −0.799230 | + | 0.452358i | ||||
\(393\) | 16.8041 | + | 15.8304i | 0.847654 | + | 0.798538i | ||||
\(394\) | −2.03542 | + | 8.48022i | −0.102543 | + | 0.427227i | ||||
\(395\) | 19.6916 | − | 11.3690i | 0.990792 | − | 0.572034i | ||||
\(396\) | 13.4006 | − | 9.88856i | 0.673407 | − | 0.496919i | ||||
\(397\) | −7.71976 | − | 4.45700i | −0.387444 | − | 0.223691i | 0.293608 | − | 0.955926i | \(-0.405144\pi\) |
−0.681052 | + | 0.732235i | \(0.738477\pi\) | |||||||
\(398\) | −3.18856 | + | 3.36041i | −0.159828 | + | 0.168442i | ||||
\(399\) | 0.407561 | + | 0.0234359i | 0.0204036 | + | 0.00117326i | ||||
\(400\) | −2.69830 | + | 1.31679i | −0.134915 | + | 0.0658394i | ||||
\(401\) | −5.23648 | + | 0.923333i | −0.261497 | + | 0.0461090i | −0.302860 | − | 0.953035i | \(-0.597941\pi\) |
0.0413623 | + | 0.999144i | \(0.486830\pi\) | |||||||
\(402\) | −10.6266 | + | 0.596373i | −0.530004 | + | 0.0297444i | ||||
\(403\) | −2.12194 | − | 1.78052i | −0.105701 | − | 0.0886939i | ||||
\(404\) | −0.347882 | − | 0.819305i | −0.0173078 | − | 0.0407620i | ||||
\(405\) | −11.1227 | − | 14.8487i | −0.552694 | − | 0.737839i | ||||
\(406\) | −6.86013 | − | 4.54008i | −0.340463 | − | 0.225320i | ||||
\(407\) | −6.64088 | − | 5.57236i | −0.329176 | − | 0.276212i | ||||
\(408\) | 19.2467 | − | 9.47827i | 0.952854 | − | 0.469244i | ||||
\(409\) | 5.33255 | + | 30.2424i | 0.263678 | + | 1.49539i | 0.772774 | + | 0.634681i | \(0.218869\pi\) |
−0.509096 | + | 0.860710i | \(0.670020\pi\) | |||||||
\(410\) | 11.6370 | + | 15.7247i | 0.574711 | + | 0.776587i | ||||
\(411\) | −23.4491 | − | 1.34839i | −1.15666 | − | 0.0665112i | ||||
\(412\) | 5.67362 | + | 24.5627i | 0.279519 | + | 1.21012i | ||||
\(413\) | −3.25689 | + | 5.64110i | −0.160261 | + | 0.277581i | ||||
\(414\) | −31.9686 | + | 5.59153i | −1.57117 | + | 0.274809i | ||||
\(415\) | −19.7418 | + | 11.3980i | −0.969089 | + | 0.559504i | ||||
\(416\) | 3.12650 | − | 1.99302i | 0.153289 | − | 0.0977160i | ||||
\(417\) | 1.25448 | − | 1.33164i | 0.0614320 | − | 0.0652105i | ||||
\(418\) | −1.21604 | + | 0.138618i | −0.0594783 | + | 0.00678004i | ||||
\(419\) | −6.31758 | − | 7.52899i | −0.308634 | − | 0.367815i | 0.589324 | − | 0.807897i | \(-0.299394\pi\) |
−0.897958 | + | 0.440081i | \(0.854950\pi\) | |||||||
\(420\) | 3.44922 | + | 4.15235i | 0.168305 | + | 0.202614i | ||||
\(421\) | 5.77588 | + | 15.8691i | 0.281499 | + | 0.773413i | 0.997184 | + | 0.0749895i | \(0.0238923\pi\) |
−0.715685 | + | 0.698423i | \(0.753885\pi\) | |||||||
\(422\) | 9.02642 | + | 0.551576i | 0.439399 | + | 0.0268503i | ||||
\(423\) | −29.2777 | − | 14.6498i | −1.42353 | − | 0.712296i | ||||
\(424\) | −1.60951 | + | 1.88513i | −0.0781645 | + | 0.0915498i | ||||
\(425\) | 3.23721 | + | 0.570807i | 0.157028 | + | 0.0276882i | ||||
\(426\) | −4.09953 | + | 34.4417i | −0.198623 | + | 1.66871i | ||||
\(427\) | 8.78177 | + | 3.19630i | 0.424979 | + | 0.154680i | ||||
\(428\) | −9.98556 | − | 15.3727i | −0.482670 | − | 0.743066i | ||||
\(429\) | −3.12953 | + | 0.368131i | −0.151095 | + | 0.0177735i | ||||
\(430\) | −8.94048 | + | 2.64883i | −0.431148 | + | 0.127738i | ||||
\(431\) | −4.98460 | −0.240100 | −0.120050 | − | 0.992768i | \(-0.538305\pi\) | ||||
−0.120050 | + | 0.992768i | \(0.538305\pi\) | |||||||
\(432\) | 1.39935 | − | 20.7374i | 0.0673263 | − | 0.997731i | ||||
\(433\) | 1.51448 | 0.0727813 | 0.0363907 | − | 0.999338i | \(-0.488414\pi\) | ||||
0.0363907 | + | 0.999338i | \(0.488414\pi\) | |||||||
\(434\) | 4.33188 | − | 1.28342i | 0.207937 | − | 0.0616063i | ||||
\(435\) | 10.8636 | − | 25.2358i | 0.520869 | − | 1.20996i | ||||
\(436\) | −13.7599 | − | 21.1833i | −0.658981 | − | 1.01449i | ||||
\(437\) | 2.24120 | + | 0.815730i | 0.107211 | + | 0.0390216i | ||||
\(438\) | −32.2977 | + | 13.8509i | −1.54324 | + | 0.661822i | ||||
\(439\) | −11.1514 | − | 1.96629i | −0.532227 | − | 0.0938460i | −0.0989253 | − | 0.995095i | \(-0.531540\pi\) |
−0.433302 | + | 0.901249i | \(0.642652\pi\) | |||||||
\(440\) | −12.3080 | − | 10.5085i | −0.586759 | − | 0.500971i | ||||
\(441\) | 11.4938 | − | 15.4865i | 0.547322 | − | 0.737451i | ||||
\(442\) | −4.05172 | − | 0.247588i | −0.192721 | − | 0.0117766i | ||||
\(443\) | 1.11491 | + | 3.06318i | 0.0529709 | + | 0.145536i | 0.963356 | − | 0.268225i | \(-0.0864370\pi\) |
−0.910385 | + | 0.413761i | \(0.864215\pi\) | |||||||
\(444\) | −10.6639 | + | 1.82575i | −0.506088 | + | 0.0866464i | ||||
\(445\) | 8.50676 | + | 10.1380i | 0.403259 | + | 0.480585i | ||||
\(446\) | 23.3452 | − | 2.66116i | 1.10543 | − | 0.126010i | ||||
\(447\) | −37.8501 | − | 8.94114i | −1.79025 | − | 0.422901i | ||||
\(448\) | −0.103530 | + | 6.04659i | −0.00489132 | + | 0.285675i | ||||
\(449\) | −19.0431 | + | 10.9945i | −0.898698 | + | 0.518864i | −0.876778 | − | 0.480896i | \(-0.840311\pi\) |
−0.0219208 | + | 0.999760i | \(0.506978\pi\) | |||||||
\(450\) | 2.05037 | − | 2.43671i | 0.0966554 | − | 0.114868i | ||||
\(451\) | 9.31288 | − | 16.1304i | 0.438527 | − | 0.759550i | ||||
\(452\) | 5.78767 | + | 25.0564i | 0.272229 | + | 1.17856i | ||||
\(453\) | 18.8582 | − | 28.7186i | 0.886034 | − | 1.34932i | ||||
\(454\) | 0.371908 | + | 0.502547i | 0.0174545 | + | 0.0235857i | ||||
\(455\) | −0.177357 | − | 1.00584i | −0.00831464 | − | 0.0471547i | ||||
\(456\) | −0.849310 | + | 1.26957i | −0.0397726 | + | 0.0594530i | ||||
\(457\) | −0.610943 | − | 0.512642i | −0.0285787 | − | 0.0239804i | 0.628386 | − | 0.777901i | \(-0.283716\pi\) |
−0.656965 | + | 0.753921i | \(0.728160\pi\) | |||||||
\(458\) | 11.4061 | + | 7.54860i | 0.532970 | + | 0.352723i | ||||
\(459\) | −14.5882 | + | 17.4640i | −0.680921 | + | 0.815148i | ||||
\(460\) | 12.3258 | + | 29.0288i | 0.574693 | + | 1.35347i | ||||
\(461\) | −2.30805 | − | 1.93668i | −0.107496 | − | 0.0902002i | 0.587455 | − | 0.809257i | \(-0.300130\pi\) |
−0.694952 | + | 0.719056i | \(0.744574\pi\) | |||||||
\(462\) | 2.31637 | − | 4.58804i | 0.107767 | − | 0.213455i | ||||
\(463\) | −9.53305 | + | 1.68093i | −0.443038 | + | 0.0781196i | −0.390717 | − | 0.920511i | \(-0.627773\pi\) |
−0.0523209 | + | 0.998630i | \(0.516662\pi\) | |||||||
\(464\) | 27.6620 | − | 13.4993i | 1.28418 | − | 0.626688i | ||||
\(465\) | 6.78204 | + | 13.4793i | 0.314510 | + | 0.625090i | ||||
\(466\) | 1.67792 | − | 1.76835i | 0.0777280 | − | 0.0819173i | ||||
\(467\) | 4.68978 | + | 2.70765i | 0.217017 | + | 0.125295i | 0.604568 | − | 0.796553i | \(-0.293346\pi\) |
−0.387551 | + | 0.921848i | \(0.626679\pi\) | |||||||
\(468\) | −2.17490 | + | 3.27649i | −0.100535 | + | 0.151456i | ||||
\(469\) | −2.84456 | + | 1.64231i | −0.131349 | + | 0.0758346i | ||||
\(470\) | −7.42504 | + | 30.9351i | −0.342492 | + | 1.42693i | ||||
\(471\) | 26.0700 | − | 7.82580i | 1.20124 | − | 0.360594i | ||||
\(472\) | −12.0050 | − | 21.2105i | −0.552573 | − | 0.976290i | ||||
\(473\) | 5.70679 | + | 6.80109i | 0.262398 | + | 0.312714i | ||||
\(474\) | −26.3034 | + | 6.17529i | −1.20816 | + | 0.283641i | ||||
\(475\) | −0.219921 | + | 0.0800447i | −0.0100907 | + | 0.00367270i | ||||
\(476\) | 3.98397 | − | 5.28812i | 0.182605 | − | 0.242381i | ||||
\(477\) | 0.750320 | − | 2.51977i | 0.0343548 | − | 0.115372i | ||||
\(478\) | 4.03605 | + | 8.09394i | 0.184605 | + | 0.370208i | ||||
\(479\) | 2.45737 | − | 13.9364i | 0.112280 | − | 0.636772i | −0.875781 | − | 0.482709i | \(-0.839653\pi\) |
0.988061 | − | 0.154063i | \(-0.0492359\pi\) | |||||||
\(480\) | −19.9363 | + | 3.23785i | −0.909965 | + | 0.147787i | ||||
\(481\) | 1.92361 | + | 0.700138i | 0.0877093 | + | 0.0319236i | ||||
\(482\) | −23.6841 | − | 10.2966i | −1.07878 | − | 0.468997i | ||||
\(483\) | −8.02930 | + | 5.98681i | −0.365346 | + | 0.272409i | ||||
\(484\) | 1.92635 | − | 6.30329i | 0.0875612 | − | 0.286513i | ||||
\(485\) | 3.49219 | 0.158572 | ||||||||
\(486\) | 7.55730 | + | 20.7096i | 0.342806 | + | 0.939406i | ||||
\(487\) | 19.4173i | 0.879884i | 0.898026 | + | 0.439942i | \(0.145001\pi\) | ||||
−0.898026 | + | 0.439942i | \(0.854999\pi\) | |||||||
\(488\) | −26.9776 | + | 22.2461i | −1.22122 | + | 1.00704i | ||||
\(489\) | 11.7724 | + | 15.7888i | 0.532367 | + | 0.713993i | ||||
\(490\) | −17.1870 | − | 7.47199i | −0.776430 | − | 0.337550i | ||||
\(491\) | 8.52216 | − | 23.4144i | 0.384600 | − | 1.05668i | −0.584797 | − | 0.811180i | \(-0.698826\pi\) |
0.969397 | − | 0.245499i | \(-0.0789520\pi\) | |||||||
\(492\) | −7.84170 | − | 21.8826i | −0.353531 | − | 0.986544i | ||||
\(493\) | −33.1867 | − | 5.85171i | −1.49465 | − | 0.263548i | ||||
\(494\) | 0.258637 | − | 0.128969i | 0.0116366 | − | 0.00580261i | ||||
\(495\) | 16.4516 | + | 4.89883i | 0.739444 | + | 0.220186i | ||||
\(496\) | −4.08597 | + | 16.4035i | −0.183466 | + | 0.736537i | ||||
\(497\) | 3.66101 | + | 10.0585i | 0.164219 | + | 0.451187i | ||||
\(498\) | 26.3705 | − | 6.19104i | 1.18169 | − | 0.277427i | ||||
\(499\) | 26.2739 | − | 22.0464i | 1.17618 | − | 0.986934i | 0.176185 | − | 0.984357i | \(-0.443624\pi\) |
0.999997 | − | 0.00257701i | \(-0.000820288\pi\) | |||||||
\(500\) | −21.1258 | − | 10.7612i | −0.944774 | − | 0.481254i | ||||
\(501\) | 5.76155 | + | 19.1934i | 0.257407 | + | 0.857496i | ||||
\(502\) | 36.4849 | + | 8.75711i | 1.62840 | + | 0.390849i | ||||
\(503\) | 5.33340 | + | 9.23771i | 0.237804 | + | 0.411889i | 0.960084 | − | 0.279712i | \(-0.0902390\pi\) |
−0.722280 | + | 0.691601i | \(0.756906\pi\) | |||||||
\(504\) | −2.49880 | − | 5.90758i | −0.111305 | − | 0.263145i | ||||
\(505\) | 0.458715 | − | 0.794518i | 0.0204126 | − | 0.0353556i | ||||
\(506\) | 20.6682 | − | 21.7822i | 0.918815 | − | 0.968336i | ||||
\(507\) | −19.4495 | + | 9.78587i | −0.863781 | + | 0.434606i | ||||
\(508\) | 7.63680 | − | 0.401078i | 0.338828 | − | 0.0177949i | ||||
\(509\) | 6.89823 | + | 39.1218i | 0.305759 | + | 1.73404i | 0.619911 | + | 0.784672i | \(0.287169\pi\) |
−0.314152 | + | 0.949373i | \(0.601720\pi\) | |||||||
\(510\) | 19.7396 | + | 9.96592i | 0.874082 | + | 0.441298i | ||||
\(511\) | −6.97121 | + | 8.30796i | −0.308388 | + | 0.367522i | ||||
\(512\) | −19.2989 | − | 11.8132i | −0.852901 | − | 0.522073i | ||||
\(513\) | 0.277797 | − | 1.59612i | 0.0122650 | − | 0.0704705i | ||||
\(514\) | 27.3639 | + | 18.1096i | 1.20697 | + | 0.798781i | ||||
\(515\) | −16.7018 | + | 19.9045i | −0.735970 | + | 0.877095i | ||||
\(516\) | 11.0800 | + | 0.0550545i | 0.487768 | + | 0.00242364i | ||||
\(517\) | 29.8304 | − | 5.25990i | 1.31194 | − | 0.231330i | ||||
\(518\) | −2.68387 | + | 1.98619i | −0.117922 | + | 0.0872681i | ||||
\(519\) | 10.3241 | + | 6.77935i | 0.453177 | + | 0.297580i | ||||
\(520\) | 3.57976 | + | 1.33774i | 0.156983 | + | 0.0586637i | ||||
\(521\) | −15.1484 | − | 8.74596i | −0.663665 | − | 0.383167i | 0.130007 | − | 0.991513i | \(-0.458500\pi\) |
−0.793672 | + | 0.608346i | \(0.791833\pi\) | |||||||
\(522\) | −21.0197 | + | 24.9803i | −0.920007 | + | 1.09336i | ||||
\(523\) | −19.3217 | − | 33.4661i | −0.844878 | − | 1.46337i | −0.885727 | − | 0.464206i | \(-0.846340\pi\) |
0.0408499 | − | 0.999165i | \(-0.486993\pi\) | |||||||
\(524\) | −19.4943 | + | 18.1827i | −0.851611 | + | 0.794317i | ||||
\(525\) | 0.225942 | − | 0.956468i | 0.00986090 | − | 0.0417437i | ||||
\(526\) | 2.02746 | + | 17.7860i | 0.0884012 | + | 0.775505i | ||||
\(527\) | 14.1776 | − | 11.8964i | 0.617587 | − | 0.518217i | ||||
\(528\) | 10.3952 | + | 16.1788i | 0.452395 | + | 0.704091i | ||||
\(529\) | −33.3724 | + | 12.1465i | −1.45097 | + | 0.528111i | ||||
\(530\) | −2.55010 | − | 0.155829i | −0.110769 | − | 0.00676876i | ||||
\(531\) | 20.7581 | + | 15.4063i | 0.900825 | + | 0.668575i | ||||
\(532\) | −0.0573958 | + | 0.467881i | −0.00248842 | + | 0.0202852i | ||||
\(533\) | −0.763739 | + | 4.33138i | −0.0330812 | + | 0.187613i | ||||
\(534\) | −6.19806 | − | 14.4527i | −0.268216 | − | 0.625430i | ||||
\(535\) | 6.46211 | − | 17.7545i | 0.279381 | − | 0.767594i | ||||
\(536\) | 0.105201 | − | 12.2893i | 0.00454400 | − | 0.530819i | ||||
\(537\) | −10.0045 | − | 4.30677i | −0.431726 | − | 0.185851i | ||||
\(538\) | −1.62838 | + | 0.482446i | −0.0702044 | + | 0.0207997i | ||||
\(539\) | 17.8437i | 0.768583i | ||||||||
\(540\) | 17.9394 | − | 11.7094i | 0.771991 | − | 0.503892i | ||||
\(541\) | 34.6309i | 1.48890i | 0.667679 | + | 0.744449i | \(0.267288\pi\) | ||||
−0.667679 | + | 0.744449i | \(0.732712\pi\) | |||||||
\(542\) | −2.33487 | − | 7.88079i | −0.100291 | − | 0.338509i | ||||
\(543\) | 2.88735 | + | 24.5457i | 0.123908 | + | 1.05336i | ||||
\(544\) | 9.48654 | + | 22.8846i | 0.406732 | + | 0.981168i | ||||
\(545\) | 8.90467 | − | 24.4654i | 0.381434 | − | 1.04798i | ||||
\(546\) | −0.143445 | + | 1.20514i | −0.00613889 | + | 0.0515751i | ||||
\(547\) | 5.81585 | − | 32.9833i | 0.248668 | − | 1.41027i | −0.563150 | − | 0.826355i | \(-0.690411\pi\) |
0.811818 | − | 0.583910i | \(-0.198478\pi\) | |||||||
\(548\) | 3.30228 | − | 26.9196i | 0.141066 | − | 1.14995i | ||||
\(549\) | 16.5961 | − | 33.1675i | 0.708305 | − | 1.41556i | ||||
\(550\) | −0.179715 | + | 2.94099i | −0.00766306 | + | 0.125404i | ||||
\(551\) | 2.25455 | − | 0.820590i | 0.0960472 | − | 0.0349583i | ||||
\(552\) | −4.05924 | − | 37.2540i | −0.172773 | − | 1.58564i | ||||
\(553\) | −6.38743 | + | 5.35969i | −0.271621 | + | 0.227917i | ||||
\(554\) | 20.4652 | − | 2.33286i | 0.869481 | − | 0.0991137i | ||||
\(555\) | −8.11679 | − | 7.64648i | −0.344538 | − | 0.324575i | ||||
\(556\) | 1.44089 | + | 1.54482i | 0.0611073 | + | 0.0655149i | ||||
\(557\) | 13.2023 | + | 22.8671i | 0.559401 | + | 0.968911i | 0.997547 | + | 0.0700066i | \(0.0223020\pi\) |
−0.438146 | + | 0.898904i | \(0.644365\pi\) | |||||||
\(558\) | −3.08921 | − | 17.6620i | −0.130777 | − | 0.747692i | ||||
\(559\) | −1.81558 | − | 1.04823i | −0.0767908 | − | 0.0443352i | ||||
\(560\) | −5.04191 | + | 3.66487i | −0.213060 | + | 0.154869i | ||||
\(561\) | 1.20867 | − | 21.0192i | 0.0510300 | − | 0.887433i | ||||
\(562\) | −8.23410 | − | 11.1265i | −0.347334 | − | 0.469341i | ||||
\(563\) | −20.5566 | + | 3.62468i | −0.866356 | + | 0.152762i | −0.589126 | − | 0.808041i | \(-0.700528\pi\) |
−0.277231 | + | 0.960803i | \(0.589417\pi\) | |||||||
\(564\) | 19.0639 | − | 32.6440i | 0.802737 | − | 1.37456i | ||||
\(565\) | −17.0376 | + | 20.3046i | −0.716775 | + | 0.854220i | ||||
\(566\) | −1.08127 | + | 1.63382i | −0.0454493 | + | 0.0686747i | ||||
\(567\) | 4.96238 | + | 4.65416i | 0.208401 | + | 0.195456i | ||||
\(568\) | −39.3812 | − | 7.29209i | −1.65240 | − | 0.305969i | ||||
\(569\) | 20.8581 | − | 24.8577i | 0.874418 | − | 1.04209i | −0.124339 | − | 0.992240i | \(-0.539681\pi\) |
0.998757 | − | 0.0498506i | \(-0.0158745\pi\) | |||||||
\(570\) | −1.57188 | + | 0.0882157i | −0.0658389 | + | 0.00369495i | ||||
\(571\) | 2.23408 | + | 12.6701i | 0.0934935 | + | 0.530228i | 0.995199 | + | 0.0978764i | \(0.0312050\pi\) |
−0.901705 | + | 0.432352i | \(0.857684\pi\) | |||||||
\(572\) | −0.190832 | − | 3.63358i | −0.00797909 | − | 0.151928i | ||||
\(573\) | 0.986421 | − | 17.1543i | 0.0412083 | − | 0.716631i | ||||
\(574\) | −5.20388 | − | 4.93775i | −0.217206 | − | 0.206098i | ||||
\(575\) | 2.87089 | − | 4.97253i | 0.119725 | − | 0.207369i | ||||
\(576\) | 23.7912 | + | 3.15880i | 0.991301 | + | 0.131617i | ||||
\(577\) | 16.5679 | + | 28.6964i | 0.689730 | + | 1.19465i | 0.971925 | + | 0.235291i | \(0.0756043\pi\) |
−0.282195 | + | 0.959357i | \(0.591062\pi\) | |||||||
\(578\) | 0.718899 | − | 2.99516i | 0.0299023 | − | 0.124582i | ||||
\(579\) | −8.08325 | + | 8.58042i | −0.335929 | + | 0.356590i | ||||
\(580\) | 28.2689 | + | 14.3998i | 1.17380 | + | 0.597918i | ||||
\(581\) | 6.40372 | − | 5.37336i | 0.265671 | − | 0.222924i | ||||
\(582\) | −3.97279 | − | 1.19854i | −0.164677 | − | 0.0496810i | ||||
\(583\) | 0.831976 | + | 2.28583i | 0.0344569 | + | 0.0946696i | ||||
\(584\) | −13.5519 | − | 38.2492i | −0.560782 | − | 1.58276i | ||||
\(585\) | −4.04616 | + | 0.241655i | −0.167288 | + | 0.00999118i | ||||
\(586\) | 1.96902 | + | 3.94870i | 0.0813397 | + | 0.163119i | ||||
\(587\) | 27.2988 | + | 4.81352i | 1.12674 | + | 0.198675i | 0.705799 | − | 0.708412i | \(-0.250588\pi\) |
0.420943 | + | 0.907087i | \(0.361699\pi\) | |||||||
\(588\) | 16.9879 | + | 14.3989i | 0.700567 | + | 0.593803i | ||||
\(589\) | −0.450675 | + | 1.23822i | −0.0185697 | + | 0.0510199i | ||||
\(590\) | 10.0155 | − | 23.0375i | 0.412330 | − | 0.948439i | ||||
\(591\) | 10.6079 | − | 1.24783i | 0.436353 | − | 0.0513287i | ||||
\(592\) | −1.30861 | − | 12.4241i | −0.0537837 | − | 0.510627i | ||||
\(593\) | − | 3.09941i | − | 0.127277i | −0.997973 | − | 0.0636387i | \(-0.979729\pi\) | ||
0.997973 | − | 0.0636387i | \(-0.0202705\pi\) | |||||||
\(594\) | −17.0343 | − | 11.2193i | −0.698927 | − | 0.460332i | ||||
\(595\) | 6.82417 | 0.279764 | ||||||||
\(596\) | 13.1252 | − | 42.9476i | 0.537628 | − | 1.75920i | ||||
\(597\) | 5.21118 | + | 2.24333i | 0.213280 | + | 0.0918132i | ||||
\(598\) | −2.82697 | + | 6.50257i | −0.115603 | + | 0.265910i | ||||
\(599\) | −2.99899 | − | 1.09154i | −0.122535 | − | 0.0445992i | 0.280025 | − | 0.959993i | \(-0.409657\pi\) |
−0.402560 | + | 0.915394i | \(0.631880\pi\) | |||||||
\(600\) | 2.65491 | + | 2.54432i | 0.108386 | + | 0.103871i | ||||
\(601\) | 1.48624 | − | 8.42889i | 0.0606251 | − | 0.343822i | −0.939375 | − | 0.342893i | \(-0.888593\pi\) |
1.00000 | 0.000928888i | \(-0.000295674\pi\) | ||||||||
\(602\) | 3.06007 | − | 1.52591i | 0.124719 | − | 0.0621914i | ||||
\(603\) | 5.18068 | + | 11.9616i | 0.210973 | + | 0.487113i | ||||
\(604\) | 31.6860 | + | 23.8716i | 1.28928 | + | 0.971320i | ||||
\(605\) | 6.38374 | − | 2.32349i | 0.259536 | − | 0.0944634i | ||||
\(606\) | −0.794526 | + | 0.746426i | −0.0322754 | + | 0.0303215i | ||||
\(607\) | 2.15954 | + | 2.57364i | 0.0876531 | + | 0.104461i | 0.808088 | − | 0.589061i | \(-0.200502\pi\) |
−0.720435 | + | 0.693522i | \(0.756058\pi\) | |||||||
\(608\) | −1.39958 | − | 1.07332i | −0.0567605 | − | 0.0435289i | ||||
\(609\) | −2.31628 | + | 9.80538i | −0.0938602 | + | 0.397334i | ||||
\(610\) | −35.0451 | − | 8.41152i | −1.41893 | − | 0.340573i | ||||
\(611\) | −6.19438 | + | 3.57633i | −0.250598 | + | 0.144683i | ||||
\(612\) | −19.0358 | − | 18.1121i | −0.769475 | − | 0.732140i | ||||
\(613\) | −6.39597 | − | 3.69272i | −0.258331 | − | 0.149147i | 0.365242 | − | 0.930913i | \(-0.380986\pi\) |
−0.623573 | + | 0.781765i | \(0.714320\pi\) | |||||||
\(614\) | −27.8762 | − | 26.4506i | −1.12499 | − | 1.06746i | ||||
\(615\) | 13.1509 | − | 20.0271i | 0.530294 | − | 0.807570i | ||||
\(616\) | 5.11403 | + | 3.01125i | 0.206050 | + | 0.121327i | ||||
\(617\) | −45.9169 | + | 8.09638i | −1.84854 | + | 0.325948i | −0.984215 | − | 0.176979i | \(-0.943367\pi\) |
−0.864329 | + | 0.502928i | \(0.832256\pi\) | |||||||
\(618\) | 25.8316 | − | 16.9116i | 1.03910 | − | 0.680283i | ||||
\(619\) | 12.0986 | + | 10.1519i | 0.486284 | + | 0.408041i | 0.852692 | − | 0.522414i | \(-0.174968\pi\) |
−0.366408 | + | 0.930454i | \(0.619413\pi\) | |||||||
\(620\) | −16.0378 | + | 6.80976i | −0.644095 | + | 0.273487i | ||||
\(621\) | 19.9500 | + | 34.3785i | 0.800567 | + | 1.37956i | ||||
\(622\) | 15.3738 | − | 23.2301i | 0.616435 | − | 0.931443i | ||||
\(623\) | −3.71768 | − | 3.11950i | −0.148946 | − | 0.124980i | ||||
\(624\) | −3.61329 | − | 2.75043i | −0.144647 | − | 0.110105i | ||||
\(625\) | −3.59165 | − | 20.3693i | −0.143666 | − | 0.814771i | ||||
\(626\) | 15.6632 | − | 11.5915i | 0.626029 | − | 0.463290i | ||||
\(627\) | 0.673730 | + | 1.33904i | 0.0269062 | + | 0.0534761i | ||||
\(628\) | 7.07362 | + | 30.6237i | 0.282268 | + | 1.22202i | ||||
\(629\) | −6.83869 | + | 11.8450i | −0.272676 | + | 0.472289i | ||||
\(630\) | 3.31351 | − | 5.72095i | 0.132013 | − | 0.227928i | ||||
\(631\) | −36.1614 | + | 20.8778i | −1.43956 | + | 0.831132i | −0.997819 | − | 0.0660087i | \(-0.978973\pi\) |
−0.441744 | + | 0.897141i | \(0.645640\pi\) | |||||||
\(632\) | −5.15435 | − | 30.7697i | −0.205029 | − | 1.22395i | ||||
\(633\) | −3.18437 | − | 10.6080i | −0.126567 | − | 0.421632i | ||||
\(634\) | −1.78240 | − | 15.6362i | −0.0707883 | − | 0.620994i | ||||
\(635\) | 5.06652 | + | 6.03805i | 0.201059 | + | 0.239613i | ||||
\(636\) | 2.84756 | + | 1.05248i | 0.112913 | + | 0.0417335i | ||||
\(637\) | −1.44111 | − | 3.95942i | −0.0570988 | − | 0.156878i | ||||
\(638\) | 1.84237 | − | 30.1500i | 0.0729403 | − | 1.19365i | ||||
\(639\) | 41.3205 | − | 9.85758i | 1.63462 | − | 0.389960i | ||||
\(640\) | −2.24434 | − | 23.2139i | −0.0887155 | − | 0.917609i | ||||
\(641\) | −20.1746 | − | 3.55732i | −0.796848 | − | 0.140506i | −0.239621 | − | 0.970866i | \(-0.577023\pi\) |
−0.557226 | + | 0.830361i | \(0.688134\pi\) | |||||||
\(642\) | −13.4449 | + | 17.9800i | −0.530626 | + | 0.709616i | ||||
\(643\) | −16.7499 | − | 6.09648i | −0.660553 | − | 0.240422i | −0.0100781 | − | 0.999949i | \(-0.503208\pi\) |
−0.650475 | + | 0.759527i | \(0.725430\pi\) | |||||||
\(644\) | −6.29981 | − | 9.69851i | −0.248247 | − | 0.382175i | ||||
\(645\) | 6.82648 | + | 9.15544i | 0.268792 | + | 0.360495i | ||||
\(646\) | 0.548535 | + | 1.85145i | 0.0215818 | + | 0.0728442i | ||||
\(647\) | 26.7567 | 1.05192 | 0.525958 | − | 0.850511i | \(-0.323707\pi\) | ||||
0.525958 | + | 0.850511i | \(0.323707\pi\) | |||||||
\(648\) | −24.4270 | + | 7.16394i | −0.959583 | + | 0.281426i | ||||
\(649\) | −23.9177 | −0.938853 | ||||||||
\(650\) | −0.197645 | − | 0.667103i | −0.00775228 | − | 0.0261659i | ||||
\(651\) | −3.30759 | − | 4.43603i | −0.129635 | − | 0.173862i | ||||
\(652\) | −19.0711 | + | 12.3879i | −0.746881 | + | 0.485148i | ||||
\(653\) | −43.1647 | − | 15.7107i | −1.68916 | − | 0.614806i | −0.694645 | − | 0.719353i | \(-0.744439\pi\) |
−0.994520 | + | 0.104547i | \(0.966661\pi\) | |||||||
\(654\) | −18.5268 | + | 24.7762i | −0.724454 | + | 0.968825i | ||||
\(655\) | −27.0588 | − | 4.77120i | −1.05728 | − | 0.186426i | ||||
\(656\) | 25.7998 | − | 7.40418i | 1.00731 | − | 0.289085i | ||||
\(657\) | 29.5824 | + | 31.2629i | 1.15412 | + | 1.21968i | ||||
\(658\) | 0.711568 | − | 11.6446i | 0.0277398 | − | 0.453955i | ||||
\(659\) | 13.8775 | + | 38.1282i | 0.540592 | + | 1.48526i | 0.846074 | + | 0.533066i | \(0.178960\pi\) |
−0.305482 | + | 0.952198i | \(0.598818\pi\) | |||||||
\(660\) | −6.87163 | + | 18.5917i | −0.267478 | + | 0.723681i | ||||
\(661\) | −16.6703 | − | 19.8669i | −0.648400 | − | 0.772733i | 0.337272 | − | 0.941407i | \(-0.390496\pi\) |
−0.985672 | + | 0.168675i | \(0.946051\pi\) | |||||||
\(662\) | 3.27762 | + | 28.7531i | 0.127388 | + | 1.11752i | ||||
\(663\) | 1.42938 | + | 4.76167i | 0.0555125 | + | 0.184928i | ||||
\(664\) | 5.16749 | + | 30.8482i | 0.200538 | + | 1.19714i | ||||
\(665\) | −0.420768 | + | 0.242930i | −0.0163167 | + | 0.00942043i | ||||
\(666\) | 6.60951 | + | 11.4845i | 0.256113 | + | 0.445016i | ||||
\(667\) | −29.4314 | + | 50.9767i | −1.13959 | + | 1.97382i | ||||
\(668\) | −22.5460 | + | 5.20778i | −0.872329 | + | 0.201495i | ||||
\(669\) | −12.9341 | − | 25.7066i | −0.500062 | − | 0.993875i | ||||
\(670\) | 10.1821 | − | 7.53525i | 0.393370 | − | 0.291112i | ||||
\(671\) | 5.95872 | + | 33.7936i | 0.230034 | + | 1.30459i | ||||
\(672\) | 6.99358 | − | 2.43882i | 0.269783 | − | 0.0940797i | ||||
\(673\) | 7.67968 | + | 6.44402i | 0.296030 | + | 0.248399i | 0.778690 | − | 0.627409i | \(-0.215885\pi\) |
−0.482660 | + | 0.875808i | \(0.660329\pi\) | |||||||
\(674\) | −27.7155 | + | 41.8786i | −1.06756 | + | 1.61310i | ||||
\(675\) | −3.66803 | − | 1.32587i | −0.141183 | − | 0.0510326i | ||||
\(676\) | −9.82586 | − | 23.1411i | −0.377918 | − | 0.890044i | ||||
\(677\) | −11.4265 | − | 9.58797i | −0.439156 | − | 0.368496i | 0.396237 | − | 0.918148i | \(-0.370316\pi\) |
−0.835394 | + | 0.549652i | \(0.814760\pi\) | |||||||
\(678\) | 26.3509 | − | 17.2515i | 1.01200 | − | 0.662540i | ||||
\(679\) | −1.26116 | + | 0.222377i | −0.0483990 | + | 0.00853404i | ||||
\(680\) | −12.9556 | + | 22.0026i | −0.496823 | + | 0.843760i | ||||
\(681\) | 0.420290 | − | 0.640048i | 0.0161055 | − | 0.0245267i | ||||
\(682\) | 12.0342 | + | 11.4188i | 0.460815 | + | 0.437248i | ||||
\(683\) | −11.0184 | − | 6.36145i | −0.421605 | − | 0.243414i | 0.274158 | − | 0.961685i | \(-0.411601\pi\) |
−0.695764 | + | 0.718270i | \(0.744934\pi\) | |||||||
\(684\) | 1.81848 | + | 0.439122i | 0.0695314 | + | 0.0167902i | ||||
\(685\) | 24.2090 | − | 13.9770i | 0.924977 | − | 0.534035i | ||||
\(686\) | 13.9594 | + | 3.35053i | 0.532972 | + | 0.127924i | ||||
\(687\) | 3.85118 | − | 16.3030i | 0.146932 | − | 0.621998i | ||||
\(688\) | −0.889645 | + | 12.7632i | −0.0339174 | + | 0.486594i | ||||
\(689\) | −0.369221 | − | 0.440021i | −0.0140662 | − | 0.0167635i | ||||
\(690\) | 28.1509 | − | 26.4466i | 1.07168 | − | 1.00681i | ||||
\(691\) | 18.7595 | − | 6.82789i | 0.713644 | − | 0.259745i | 0.0404189 | − | 0.999183i | \(-0.487131\pi\) |
0.673225 | + | 0.739438i | \(0.264909\pi\) | |||||||
\(692\) | −8.58162 | + | 11.3908i | −0.326224 | + | 0.433014i | ||||
\(693\) | −6.25323 | − | 0.721544i | −0.237541 | − | 0.0274092i | ||||
\(694\) | 14.1436 | − | 7.05274i | 0.536885 | − | 0.267718i | ||||
\(695\) | −0.378093 | + | 2.14427i | −0.0143419 | + | 0.0813369i | ||||
\(696\) | −27.2172 | − | 26.0835i | −1.03167 | − | 0.988693i | ||||
\(697\) | −27.6141 | − | 10.0507i | −1.04596 | − | 0.380698i | ||||
\(698\) | 16.6024 | − | 38.1886i | 0.628409 | − | 1.44546i | ||||
\(699\) | −2.74228 | − | 1.18051i | −0.103723 | − | 0.0446508i | ||||
\(700\) | 1.08528 | + | 0.331672i | 0.0410198 | + | 0.0125360i | ||||
\(701\) | −23.1054 | −0.872679 | −0.436340 | − | 0.899782i | \(-0.643725\pi\) | ||||
−0.436340 | + | 0.899782i | \(0.643725\pi\) | |||||||
\(702\) | 4.68593 | + | 1.11375i | 0.176859 | + | 0.0420358i | ||||
\(703\) | − | 0.973789i | − | 0.0367272i | ||||||
\(704\) | −19.4178 | + | 10.7719i | −0.731836 | + | 0.405982i | ||||
\(705\) | 38.6968 | − | 4.55196i | 1.45741 | − | 0.171437i | ||||
\(706\) | 0.928708 | − | 2.13621i | 0.0349524 | − | 0.0803972i | ||||
\(707\) | −0.115066 | + | 0.316141i | −0.00432749 | + | 0.0118897i | ||||
\(708\) | −19.3004 | + | 22.7706i | −0.725353 | + | 0.855770i | ||||
\(709\) | −2.25096 | − | 0.396904i | −0.0845364 | − | 0.0149061i | 0.131220 | − | 0.991353i | \(-0.458111\pi\) |
−0.215756 | + | 0.976447i | \(0.569222\pi\) | |||||||
\(710\) | −18.4212 | − | 36.9421i | −0.691336 | − | 1.38641i | ||||
\(711\) | 18.2245 | + | 27.6202i | 0.683474 | + | 1.03584i | ||||
\(712\) | 17.1159 | − | 6.06426i | 0.641445 | − | 0.227268i | ||||
\(713\) | −11.0568 | − | 30.3783i | −0.414080 | − | 1.13768i | ||||
\(714\) | −7.76331 | − | 2.34209i | −0.290535 | − | 0.0876505i | ||||
\(715\) | 2.87289 | − | 2.41064i | 0.107440 | − | 0.0901530i | ||||
\(716\) | 5.70866 | − | 11.2070i | 0.213343 | − | 0.418824i | ||||
\(717\) | 7.59562 | − | 8.06280i | 0.283664 | − | 0.301111i | ||||
\(718\) | 3.41541 | − | 14.2297i | 0.127462 | − | 0.531047i | ||||
\(719\) | 9.89692 | + | 17.1420i | 0.369093 | + | 0.639287i | 0.989424 | − | 0.145053i | \(-0.0463351\pi\) |
−0.620331 | + | 0.784340i | \(0.713002\pi\) | |||||||
\(720\) | 12.1549 | + | 21.5446i | 0.452987 | + | 0.802919i | ||||
\(721\) | 4.76417 | − | 8.25179i | 0.177427 | − | 0.307313i | ||||
\(722\) | 19.3921 | + | 18.4004i | 0.721701 | + | 0.684793i | ||||
\(723\) | −1.81580 | + | 31.5775i | −0.0675303 | + | 1.17438i | ||||
\(724\) | −28.4991 | + | 1.49675i | −1.05916 | + | 0.0556262i | ||||
\(725\) | −1.00299 | − | 5.68825i | −0.0372502 | − | 0.211256i | ||||
\(726\) | −8.05971 | + | 0.452319i | −0.299124 | + | 0.0167871i | ||||
\(727\) | 11.5970 | − | 13.8207i | 0.430107 | − | 0.512582i | −0.506846 | − | 0.862037i | \(-0.669189\pi\) |
0.936953 | + | 0.349455i | \(0.113633\pi\) | |||||||
\(728\) | −1.37797 | − | 0.255155i | −0.0510710 | − | 0.00945666i | ||||
\(729\) | 20.6062 | − | 17.4467i | 0.763191 | − | 0.646173i | ||||
\(730\) | 23.0827 | − | 34.8784i | 0.854330 | − | 1.29091i | ||||
\(731\) | 9.00374 | − | 10.7302i | 0.333015 | − | 0.396872i | ||||
\(732\) | 36.9811 | + | 21.5968i | 1.36686 | + | 0.798239i | ||||
\(733\) | −6.13198 | + | 1.08123i | −0.226490 | + | 0.0399362i | −0.285741 | − | 0.958307i | \(-0.592240\pi\) |
0.0592514 | + | 0.998243i | \(0.481129\pi\) | |||||||
\(734\) | 5.57153 | + | 7.52861i | 0.205649 | + | 0.277886i | ||||
\(735\) | −1.31768 | + | 22.9150i | −0.0486034 | + | 0.845234i | ||||
\(736\) | 43.2301 | − | 1.89949i | 1.59348 | − | 0.0700160i | ||||
\(737\) | −10.4448 | − | 6.03032i | −0.384740 | − | 0.222130i | ||||
\(738\) | −21.8341 | + | 18.2698i | −0.803723 | + | 0.672519i | ||||
\(739\) | −17.2254 | − | 29.8353i | −0.633647 | − | 1.09751i | −0.986800 | − | 0.161944i | \(-0.948224\pi\) |
0.353153 | − | 0.935566i | \(-0.385110\pi\) | |||||||
\(740\) | 9.41621 | − | 8.78271i | 0.346147 | − | 0.322859i | ||||
\(741\) | −0.257642 | − | 0.242713i | −0.00946470 | − | 0.00891629i | ||||
\(742\) | 0.930859 | − | 0.106110i | 0.0341729 | − | 0.00389543i | ||||
\(743\) | −20.9598 | + | 17.5873i | −0.768939 | + | 0.645217i | −0.940437 | − | 0.339968i | \(-0.889584\pi\) |
0.171498 | + | 0.985185i | \(0.445139\pi\) | |||||||
\(744\) | 20.5821 | − | 2.24265i | 0.754577 | − | 0.0822196i | ||||
\(745\) | 43.4957 | − | 15.8311i | 1.59356 | − | 0.580008i | ||||
\(746\) | 0.824657 | − | 13.4953i | 0.0301928 | − | 0.494099i | ||||
\(747\) | −18.2710 | − | 27.6906i | −0.668502 | − | 1.01315i | ||||
\(748\) | 24.1301 | + | 2.96009i | 0.882286 | + | 0.108232i | ||||
\(749\) | −1.20313 | + | 6.82331i | −0.0439616 | + | 0.249318i | ||||
\(750\) | −3.43200 | + | 28.8335i | −0.125319 | + | 1.05285i | ||||
\(751\) | −7.78513 | + | 21.3895i | −0.284084 | + | 0.780513i | 0.712781 | + | 0.701387i | \(0.247435\pi\) |
−0.996865 | + | 0.0791265i | \(0.974787\pi\) | |||||||
\(752\) | 36.1939 | + | 24.4014i | 1.31985 | + | 0.889827i | ||||
\(753\) | −5.36859 | − | 45.6391i | −0.195642 | − | 1.66318i | ||||
\(754\) | 2.02619 | + | 6.83891i | 0.0737895 | + | 0.249058i | ||||
\(755\) | 40.8898i | 1.48813i | ||||||||
\(756\) | −5.73297 | + | 5.37106i | −0.208506 | + | 0.195344i | ||||
\(757\) | 21.1725i | 0.769529i | 0.923015 | + | 0.384765i | \(0.125717\pi\) | ||||
−0.923015 | + | 0.384765i | \(0.874283\pi\) | |||||||
\(758\) | 44.5592 | − | 13.2017i | 1.61846 | − | 0.479508i | ||||
\(759\) | −33.7789 | − | 14.5412i | −1.22610 | − | 0.527813i | ||||
\(760\) | 0.0155614 | − | 1.81784i | 0.000564471 | − | 0.0659401i | ||||
\(761\) | −7.32872 | + | 20.1355i | −0.265666 | + | 0.729911i | 0.733094 | + | 0.680127i | \(0.238076\pi\) |
−0.998760 | + | 0.0497840i | \(0.984147\pi\) | |||||||
\(762\) | −3.69149 | − | 8.60786i | −0.133729 | − | 0.311830i | ||||
\(763\) | −1.65790 | + | 9.40240i | −0.0600199 | + | 0.340390i | ||||
\(764\) | 19.6932 | + | 2.41580i | 0.712474 | + | 0.0874005i | ||||
\(765\) | 3.10437 | − | 26.9039i | 0.112239 | − | 0.972711i | ||||
\(766\) | −26.5978 | − | 1.62531i | −0.961016 | − | 0.0587247i | ||||
\(767\) | 5.30721 | − | 1.93167i | 0.191632 | − | 0.0697485i | ||||
\(768\) | −5.41391 | + | 27.1788i | −0.195358 | + | 0.980732i | ||||
\(769\) | 23.3889 | − | 19.6256i | 0.843426 | − | 0.707719i | −0.114905 | − | 0.993376i | \(-0.536656\pi\) |
0.958332 | + | 0.285658i | \(0.0922120\pi\) | |||||||
\(770\) | 0.692794 | + | 6.07757i | 0.0249665 | + | 0.219021i | ||||
\(771\) | 9.23924 | − | 39.1120i | 0.332743 | − | 1.40859i | ||||
\(772\) | −9.28439 | − | 9.95408i | −0.334153 | − | 0.358255i | ||||
\(773\) | 19.2878 | + | 33.4074i | 0.693734 | + | 1.20158i | 0.970606 | + | 0.240675i | \(0.0773689\pi\) |
−0.276872 | + | 0.960907i | \(0.589298\pi\) | |||||||
\(774\) | −4.62375 | − | 12.7583i | −0.166197 | − | 0.458587i | ||||
\(775\) | 2.74723 | + | 1.58611i | 0.0986833 | + | 0.0569748i | ||||
\(776\) | 1.67730 | − | 4.48843i | 0.0602117 | − | 0.161125i | ||||
\(777\) | 3.41819 | + | 2.24457i | 0.122627 | + | 0.0805234i | ||||
\(778\) | −39.4279 | + | 29.1785i | −1.41356 | + | 1.04610i | ||||
\(779\) | 2.06043 | − | 0.363310i | 0.0738227 | − | 0.0130169i | ||||
\(780\) | 0.0232560 | − | 4.68037i | 0.000832698 | − | 0.167584i | ||||
\(781\) | −25.2640 | + | 30.1085i | −0.904019 | + | 1.07737i | ||||
\(782\) | −39.5066 | − | 26.1457i | −1.41275 | − | 0.934969i | ||||
\(783\) | 37.6034 | + | 13.5923i | 1.34384 | + | 0.485750i | ||||
\(784\) | −17.8585 | + | 18.5012i | −0.637804 | + | 0.660759i | ||||
\(785\) | −20.8231 | + | 24.8160i | −0.743209 | + | 0.885722i | ||||
\(786\) | 29.1452 | + | 14.7145i | 1.03957 | + | 0.524850i | ||||
\(787\) | 0.641604 | + | 3.63872i | 0.0228707 | + | 0.129706i | 0.994105 | − | 0.108418i | \(-0.0345785\pi\) |
−0.971235 | + | 0.238124i | \(0.923467\pi\) | |||||||
\(788\) | 0.646850 | + | 12.3165i | 0.0230431 | + | 0.438756i | ||||
\(789\) | 19.5850 | − | 9.85408i | 0.697246 | − | 0.350815i | ||||
\(790\) | 22.1336 | − | 23.3266i | 0.787479 | − | 0.829922i | ||||
\(791\) | 4.85994 | − | 8.41767i | 0.172800 | − | 0.299298i | ||||
\(792\) | 14.1981 | − | 18.7919i | 0.504506 | − | 0.667742i | ||||
\(793\) | −4.05147 | − | 7.01736i | −0.143872 | − | 0.249194i | ||||
\(794\) | −12.2582 | − | 2.94220i | −0.435026 | − | 0.104415i | ||||
\(795\) | 0.899632 | + | 2.99693i | 0.0319067 | + | 0.106290i | ||||
\(796\) | −2.97355 | + | 5.83752i | −0.105395 | + | 0.206905i | ||||
\(797\) | −20.3153 | + | 17.0465i | −0.719604 | + | 0.603820i | −0.927276 | − | 0.374379i | \(-0.877856\pi\) |
0.207672 | + | 0.978199i | \(0.433411\pi\) | |||||||
\(798\) | 0.562049 | − | 0.131953i | 0.0198963 | − | 0.00467108i | ||||
\(799\) | −16.3452 | − | 44.9080i | −0.578251 | − | 1.58873i | ||||
\(800\) | −3.12977 | + | 2.86950i | −0.110654 | + | 0.101452i | ||||
\(801\) | −13.9896 | + | 13.2376i | −0.494300 | + | 0.467729i | ||||
\(802\) | −6.72949 | + | 3.35567i | −0.237627 | + | 0.118493i | ||||
\(803\) | −39.2174 | − | 6.91508i | −1.38395 | − | 0.244028i | ||||
\(804\) | −14.1695 | + | 5.07770i | −0.499721 | + | 0.179077i | ||||
\(805\) | 4.07690 | − | 11.2012i | 0.143692 | − | 0.394790i | ||||
\(806\) | −3.59254 | − | 1.56185i | −0.126542 | − | 0.0550136i | ||||
\(807\) | 1.24334 | + | 1.66753i | 0.0437678 | + | 0.0586998i | ||||
\(808\) | −0.800854 | − | 0.971184i | −0.0281739 | − | 0.0341661i | ||||
\(809\) | 3.27098i | 0.115001i | 0.998345 | + | 0.0575007i | \(0.0183131\pi\) | ||||
−0.998345 | + | 0.0575007i | \(0.981687\pi\) | |||||||
\(810\) | −21.0472 | − | 15.6658i | −0.739522 | − | 0.550440i | ||||
\(811\) | −1.75903 | −0.0617677 | −0.0308839 | − | 0.999523i | \(-0.509832\pi\) | ||||
−0.0308839 | + | 0.999523i | \(0.509832\pi\) | |||||||
\(812\) | −11.1259 | − | 3.40019i | −0.390443 | − | 0.119323i | ||||
\(813\) | −8.07027 | + | 6.01735i | −0.283037 | + | 0.211038i | ||||
\(814\) | −11.2433 | − | 4.88800i | −0.394079 | − | 0.171324i | ||||
\(815\) | −22.0259 | − | 8.01678i | −0.771534 | − | 0.280816i | ||||
\(816\) | 22.2899 | − | 20.5841i | 0.780303 | − | 0.720589i | ||||
\(817\) | −0.173176 | + | 0.982130i | −0.00605866 | + | 0.0343604i | ||||
\(818\) | 19.3801 | + | 38.8650i | 0.677609 | + | 1.35888i | ||||
\(819\) | 1.44583 | − | 0.344923i | 0.0505214 | − | 0.0120526i | ||||
\(820\) | 22.0964 | + | 16.6470i | 0.771639 | + | 0.581337i | ||||
\(821\) | 46.0142 | − | 16.7478i | 1.60591 | − | 0.584502i | 0.625282 | − | 0.780399i | \(-0.284984\pi\) |
0.980625 | + | 0.195897i | \(0.0627617\pi\) | |||||||
\(822\) | −32.3376 | + | 7.59193i | −1.12790 | + | 0.264799i | ||||
\(823\) | 11.6513 | + | 13.8855i | 0.406139 | + | 0.484017i | 0.929882 | − | 0.367859i | \(-0.119909\pi\) |
−0.523743 | + | 0.851876i | \(0.675465\pi\) | |||||||
\(824\) | 17.5608 | + | 31.0266i | 0.611760 | + | 1.08086i | ||||
\(825\) | 3.45631 | − | 1.03753i | 0.120333 | − | 0.0361222i | ||||
\(826\) | −2.14997 | + | 8.95748i | −0.0748072 | + | 0.311671i | ||||
\(827\) | 11.2394 | − | 6.48908i | 0.390833 | − | 0.225648i | −0.291688 | − | 0.956514i | \(-0.594217\pi\) |
0.682521 | + | 0.730866i | \(0.260884\pi\) | |||||||
\(828\) | −41.1016 | + | 20.4247i | −1.42838 | + | 0.709807i | ||||
\(829\) | 4.97254 | + | 2.87090i | 0.172703 | + | 0.0997104i | 0.583860 | − | 0.811854i | \(-0.301542\pi\) |
−0.411157 | + | 0.911565i | \(0.634875\pi\) | |||||||
\(830\) | −22.1901 | + | 23.3861i | −0.770229 | + | 0.811742i | ||||
\(831\) | −11.3385 | − | 22.5352i | −0.393327 | − | 0.781739i | ||||
\(832\) | 3.43873 | − | 3.95847i | 0.119216 | − | 0.137235i | ||||
\(833\) | 27.7247 | − | 4.88862i | 0.960605 | − | 0.169381i | ||||
\(834\) | 1.16605 | − | 2.30960i | 0.0403770 | − | 0.0799750i | ||||
\(835\) | −18.2702 | − | 15.3305i | −0.632266 | − | 0.530534i | ||||
\(836\) | −1.59320 | + | 0.676483i | −0.0551021 | + | 0.0233967i | ||||
\(837\) | −18.9934 | + | 11.0220i | −0.656509 | + | 0.380976i | ||||
\(838\) | −11.5910 | − | 7.67098i | −0.400404 | − | 0.264990i | ||||
\(839\) | 25.0821 | + | 21.0464i | 0.865930 | + | 0.726602i | 0.963237 | − | 0.268653i | \(-0.0865784\pi\) |
−0.0973069 | + | 0.995254i | \(0.531023\pi\) | |||||||
\(840\) | 6.34512 | + | 4.24472i | 0.218927 | + | 0.146457i | ||||
\(841\) | 5.24653 | + | 29.7545i | 0.180915 | + | 1.02602i | ||||
\(842\) | 14.2070 | + | 19.1974i | 0.489605 | + | 0.661586i | ||||
\(843\) | −9.30526 | + | 14.1707i | −0.320490 | + | 0.488066i | ||||
\(844\) | 12.4610 | − | 2.87830i | 0.428925 | − | 0.0990753i | ||||
\(845\) | 12.9563 | − | 22.4410i | 0.445712 | − | 0.771995i | ||||
\(846\) | −45.5845 | − | 8.10254i | −1.56723 | − | 0.278571i | ||||
\(847\) | −2.15745 | + | 1.24561i | −0.0741310 | + | 0.0427996i | ||||
\(848\) | −1.42510 | + | 3.20273i | −0.0489381 | + | 0.109982i | ||||
\(849\) | 2.33527 | + | 0.551649i | 0.0801462 | + | 0.0189325i | ||||
\(850\) | 4.61881 | − | 0.526507i | 0.158424 | − | 0.0180590i | ||||
\(851\) | 15.3567 | + | 18.3014i | 0.526422 | + | 0.627365i | ||||
\(852\) | 8.27762 | + | 48.3483i | 0.283587 | + | 1.65639i | ||||
\(853\) | −17.3146 | − | 47.5715i | −0.592842 | − | 1.62882i | −0.765206 | − | 0.643785i | \(-0.777363\pi\) |
0.172364 | − | 0.985033i | \(-0.444859\pi\) | |||||||
\(854\) | 13.1917 | + | 0.806106i | 0.451412 | + | 0.0275844i | ||||
\(855\) | 0.766327 | + | 1.76936i | 0.0262078 | + | 0.0605109i | ||||
\(856\) | −19.7157 | − | 16.8331i | −0.673868 | − | 0.575344i | ||||
\(857\) | 43.9658 | + | 7.75236i | 1.50184 | + | 0.264816i | 0.863269 | − | 0.504744i | \(-0.168413\pi\) |
0.638575 | + | 0.769559i | \(0.279524\pi\) | |||||||
\(858\) | −4.09561 | + | 1.75641i | −0.139822 | + | 0.0599627i | ||||
\(859\) | 21.2132 | + | 7.72099i | 0.723786 | + | 0.263437i | 0.677532 | − | 0.735493i | \(-0.263049\pi\) |
0.0462539 | + | 0.998930i | \(0.485272\pi\) | |||||||
\(860\) | −11.0588 | + | 7.18339i | −0.377100 | + | 0.244951i | ||||
\(861\) | −3.47398 | + | 8.06995i | −0.118393 | + | 0.275023i | ||||
\(862\) | −6.75889 | + | 2.00248i | −0.230209 | + | 0.0682048i | ||||
\(863\) | 5.45202 | 0.185589 | 0.0927945 | − | 0.995685i | \(-0.470420\pi\) | ||||
0.0927945 | + | 0.995685i | \(0.470420\pi\) | |||||||
\(864\) | −6.43348 | − | 28.6812i | −0.218871 | − | 0.975754i | ||||
\(865\) | −14.6995 | −0.499799 | ||||||||
\(866\) | 2.05357 | − | 0.608418i | 0.0697830 | − | 0.0206749i | ||||
\(867\) | −3.74666 | + | 0.440725i | −0.127243 | + | 0.0149678i | ||||
\(868\) | 5.35823 | − | 3.48052i | 0.181870 | − | 0.118137i | ||||
\(869\) | −28.7703 | − | 10.4715i | −0.975966 | − | 0.355222i | ||||
\(870\) | 4.59244 | − | 38.5829i | 0.155698 | − | 1.30808i | ||||
\(871\) | 2.80468 | + | 0.494540i | 0.0950328 | + | 0.0167568i | ||||
\(872\) | −27.1679 | − | 23.1957i | −0.920020 | − | 0.785506i | ||||
\(873\) | 0.302995 | + | 5.07321i | 0.0102548 | + | 0.171702i | ||||
\(874\) | 3.36667 | + | 0.205727i | 0.113879 | + | 0.00695881i | ||||
\(875\) | 3.06488 | + | 8.42069i | 0.103612 | + | 0.284671i | ||||
\(876\) | −38.2298 | + | 31.7563i | −1.29167 | + | 1.07294i | ||||
\(877\) | 17.8965 | + | 21.3282i | 0.604322 | + | 0.720203i | 0.978291 | − | 0.207238i | \(-0.0664475\pi\) |
−0.373968 | + | 0.927442i | \(0.622003\pi\) | |||||||
\(878\) | −15.9107 | + | 1.81369i | −0.536960 | + | 0.0612091i | ||||
\(879\) | 3.70560 | − | 3.93351i | 0.124987 | − | 0.132674i | ||||
\(880\) | −20.9106 | − | 9.30445i | −0.704897 | − | 0.313653i | ||||
\(881\) | 15.7703 | − | 9.10498i | 0.531315 | − | 0.306755i | −0.210237 | − | 0.977650i | \(-0.567424\pi\) |
0.741552 | + | 0.670896i | \(0.234090\pi\) | |||||||
\(882\) | 9.36358 | − | 25.6164i | 0.315288 | − | 0.862548i | ||||
\(883\) | −9.43348 | + | 16.3393i | −0.317462 | + | 0.549860i | −0.979958 | − | 0.199206i | \(-0.936164\pi\) |
0.662496 | + | 0.749065i | \(0.269497\pi\) | |||||||
\(884\) | −5.59341 | + | 1.29199i | −0.188127 | + | 0.0434545i | ||||
\(885\) | −30.7154 | − | 1.76622i | −1.03249 | − | 0.0593710i | ||||
\(886\) | 2.74235 | + | 3.70564i | 0.0921310 | + | 0.124493i | ||||
\(887\) | 4.50791 | + | 25.5656i | 0.151361 | + | 0.858409i | 0.962038 | + | 0.272916i | \(0.0879880\pi\) |
−0.810677 | + | 0.585493i | \(0.800901\pi\) | |||||||
\(888\) | −13.7263 | + | 6.75970i | −0.460626 | + | 0.226841i | ||||
\(889\) | −2.21421 | − | 1.85794i | −0.0742621 | − | 0.0623133i | ||||
\(890\) | 15.6075 | + | 10.3291i | 0.523165 | + | 0.346234i | ||||
\(891\) | −5.68929 | + | 24.3247i | −0.190598 | + | 0.814910i | ||||
\(892\) | 30.5860 | − | 12.9870i | 1.02409 | − | 0.434836i | ||||
\(893\) | 2.60648 | + | 2.18709i | 0.0872224 | + | 0.0731883i | ||||
\(894\) | −54.9149 | + | 3.08188i | −1.83663 | + | 0.103074i | ||||
\(895\) | 12.7663 | − | 2.25105i | 0.426732 | − | 0.0752444i | ||||
\(896\) | 2.28874 | + | 8.24049i | 0.0764614 | + | 0.275295i | ||||
\(897\) | 8.66973 | + | 0.498535i | 0.289474 | + | 0.0166456i | ||||
\(898\) | −21.4047 | + | 22.5583i | −0.714283 | + | 0.752781i | ||||
\(899\) | −28.1636 | − | 16.2603i | −0.939309 | − | 0.542310i | ||||
\(900\) | 1.80130 | − | 4.12777i | 0.0600433 | − | 0.137592i | ||||
\(901\) | 3.32369 | − | 1.91893i | 0.110728 | − | 0.0639290i | ||||
\(902\) | 6.14772 | − | 25.6134i | 0.204697 | − | 0.852831i | ||||
\(903\) | −3.04830 | − | 2.87167i | −0.101441 | − | 0.0955634i | ||||
\(904\) | 17.9138 | + | 31.6503i | 0.595805 | + | 1.05267i | ||||
\(905\) | −18.9073 | − | 22.5329i | −0.628501 | − | 0.749018i | ||||
\(906\) | 14.0336 | − | 46.5170i | 0.466234 | − | 1.54543i | ||||
\(907\) | 6.38033 | − | 2.32225i | 0.211855 | − | 0.0771090i | −0.233912 | − | 0.972258i | \(-0.575153\pi\) |
0.445768 | + | 0.895149i | \(0.352931\pi\) | |||||||
\(908\) | 0.706181 | + | 0.532022i | 0.0234354 | + | 0.0176558i | ||||
\(909\) | 1.19402 | + | 0.597454i | 0.0396032 | + | 0.0198163i | ||||
\(910\) | −0.644570 | − | 1.29263i | −0.0213673 | − | 0.0428502i | ||||
\(911\) | 7.60529 | − | 43.1317i | 0.251974 | − | 1.42902i | −0.551747 | − | 0.834012i | \(-0.686038\pi\) |
0.803721 | − | 0.595006i | \(-0.202850\pi\) | |||||||
\(912\) | −0.641596 | + | 2.06267i | −0.0212454 | + | 0.0683020i | ||||
\(913\) | 28.8437 | + | 10.4982i | 0.954587 | + | 0.347441i | ||||
\(914\) | −1.03436 | − | 0.449682i | −0.0342135 | − | 0.0148742i | ||||
\(915\) | 5.15673 | + | 43.8381i | 0.170476 | + | 1.44924i | ||||
\(916\) | 18.4986 | + | 5.65335i | 0.611211 | + | 0.186792i | ||||
\(917\) | 10.0758 | 0.332732 | ||||||||
\(918\) | −12.7651 | + | 29.5409i | −0.421312 | + | 0.974996i | ||||
\(919\) | − | 53.5416i | − | 1.76617i | −0.469209 | − | 0.883087i | \(-0.655461\pi\) | ||
0.469209 | − | 0.883087i | \(-0.344539\pi\) | |||||||
\(920\) | 28.3751 | + | 34.4100i | 0.935498 | + | 1.13446i | ||||
\(921\) | −18.6094 | + | 43.2292i | −0.613201 | + | 1.42445i | ||||
\(922\) | −3.90763 | − | 1.69883i | −0.128691 | − | 0.0559480i | ||||
\(923\) | 3.17430 | − | 8.72131i | 0.104483 | − | 0.287065i | ||||
\(924\) | 1.29772 | − | 7.15174i | 0.0426918 | − | 0.235275i | ||||
\(925\) | −2.30871 | − | 0.407087i | −0.0759098 | − | 0.0133849i | ||||
\(926\) | −12.2511 | + | 6.10901i | −0.402595 | + | 0.200755i | ||||
\(927\) | −30.3649 | − | 22.5363i | −0.997314 | − | 0.740188i | ||||
\(928\) | 32.0853 | − | 29.4171i | 1.05325 | − | 0.965665i | ||||
\(929\) | −6.19598 | − | 17.0233i | −0.203284 | − | 0.558517i | 0.795597 | − | 0.605827i | \(-0.207157\pi\) |
−0.998880 | + | 0.0473097i | \(0.984935\pi\) | |||||||
\(930\) | 14.6112 | + | 15.5528i | 0.479121 | + | 0.509996i | ||||
\(931\) | −1.53544 | + | 1.28838i | −0.0503219 | + | 0.0422251i | ||||
\(932\) | 1.56477 | − | 3.07188i | 0.0512558 | − | 0.100623i | ||||
\(933\) | −33.2035 | − | 7.84349i | −1.08703 | − | 0.256784i | ||||
\(934\) | 7.44688 | + | 1.78740i | 0.243669 | + | 0.0584855i | ||||
\(935\) | 12.5287 | + | 21.7004i | 0.409733 | + | 0.709678i | ||||
\(936\) | −1.63278 | + | 5.31650i | −0.0533691 | + | 0.173775i | ||||
\(937\) | 18.2222 | − | 31.5618i | 0.595294 | − | 1.03108i | −0.398212 | − | 0.917294i | \(-0.630369\pi\) |
0.993505 | − | 0.113785i | \(-0.0362976\pi\) | |||||||
\(938\) | −3.19732 | + | 3.36964i | −0.104396 | + | 0.110023i | ||||
\(939\) | −19.9488 | − | 13.0995i | −0.651004 | − | 0.427484i | ||||
\(940\) | 2.35965 | + | 44.9294i | 0.0769633 | + | 1.46544i | ||||
\(941\) | 1.27775 | + | 7.24648i | 0.0416535 | + | 0.236229i | 0.998526 | − | 0.0542804i | \(-0.0172865\pi\) |
−0.956872 | + | 0.290509i | \(0.906175\pi\) | |||||||
\(942\) | 32.2058 | − | 21.0846i | 1.04932 | − | 0.686974i | ||||
\(943\) | −32.9944 | + | 39.3213i | −1.07445 | + | 1.28048i | ||||
\(944\) | −24.7991 | − | 23.9376i | −0.807142 | − | 0.779102i | ||||
\(945\) | −7.97718 | − | 1.38839i | −0.259498 | − | 0.0451643i | ||||
\(946\) | 10.4704 | + | 6.92935i | 0.340421 | + | 0.225293i | ||||
\(947\) | 8.67174 | − | 10.3346i | 0.281794 | − | 0.335829i | −0.606518 | − | 0.795070i | \(-0.707434\pi\) |
0.888312 | + | 0.459241i | \(0.151879\pi\) | |||||||
\(948\) | −33.1854 | + | 18.9404i | −1.07781 | + | 0.615155i | ||||
\(949\) | 9.26060 | − | 1.63289i | 0.300612 | − | 0.0530059i | ||||
\(950\) | −0.266046 | + | 0.196887i | −0.00863167 | + | 0.00638784i | ||||
\(951\) | −17.2179 | + | 8.66305i | −0.558328 | + | 0.280919i | ||||
\(952\) | 3.27766 | − | 8.77094i | 0.106229 | − | 0.284268i | ||||
\(953\) | 33.5466 | + | 19.3681i | 1.08668 | + | 0.627395i | 0.932690 | − | 0.360678i | \(-0.117455\pi\) |
0.153989 | + | 0.988073i | \(0.450788\pi\) | |||||||
\(954\) | 0.00512147 | − | 3.71812i | 0.000165814 | − | 0.120379i | ||||
\(955\) | 10.2250 | + | 17.7102i | 0.330872 | + | 0.573087i | ||||
\(956\) | 8.72430 | + | 9.35359i | 0.282164 | + | 0.302517i | ||||
\(957\) | −35.4329 | + | 10.6364i | −1.14538 | + | 0.343827i | ||||
\(958\) | −2.26665 | − | 19.8844i | −0.0732323 | − | 0.642435i | ||||
\(959\) | −7.85273 | + | 6.58922i | −0.253578 | + | 0.212777i | ||||
\(960\) | −25.7320 | + | 12.3995i | −0.830496 | + | 0.400191i | ||||
\(961\) | −12.3471 | + | 4.49396i | −0.398292 | + | 0.144967i | ||||
\(962\) | 2.88960 | + | 0.176575i | 0.0931645 | + | 0.00569299i | ||||
\(963\) | 26.3532 | + | 7.84726i | 0.849219 | + | 0.252874i | ||||
\(964\) | −36.2511 | − | 4.44699i | −1.16757 | − | 0.143228i | ||||
\(965\) | 2.43625 | − | 13.8167i | 0.0784256 | − | 0.444774i | ||||
\(966\) | −8.48226 | + | 11.3435i | −0.272912 | + | 0.364970i | ||||
\(967\) | 5.65523 | − | 15.5376i | 0.181860 | − | 0.499656i | −0.814944 | − | 0.579539i | \(-0.803233\pi\) |
0.996804 | + | 0.0798834i | \(0.0254548\pi\) | |||||||
\(968\) | 0.0797899 | − | 9.32085i | 0.00256454 | − | 0.299584i | ||||
\(969\) | 1.89596 | − | 1.41367i | 0.0609070 | − | 0.0454135i | ||||
\(970\) | 4.73525 | − | 1.40293i | 0.152040 | − | 0.0450454i | ||||
\(971\) | − | 54.1911i | − | 1.73907i | −0.493868 | − | 0.869537i | \(-0.664417\pi\) | ||
0.493868 | − | 0.869537i | \(-0.335583\pi\) | |||||||
\(972\) | 18.5671 | + | 25.0452i | 0.595540 | + | 0.803326i | ||||
\(973\) | − | 0.798454i | − | 0.0255972i | ||||||
\(974\) | 7.80060 | + | 26.3290i | 0.249947 | + | 0.843636i | ||||
\(975\) | −0.683142 | + | 0.509364i | −0.0218781 | + | 0.0163127i | ||||
\(976\) | −27.6433 | + | 41.0025i | −0.884841 | + | 1.31246i | ||||
\(977\) | 6.10992 | − | 16.7869i | 0.195474 | − | 0.537060i | −0.802771 | − | 0.596288i | \(-0.796642\pi\) |
0.998244 | + | 0.0592281i | \(0.0188639\pi\) | |||||||
\(978\) | 22.3057 | + | 16.6795i | 0.713259 | + | 0.533350i | ||||
\(979\) | 3.09439 | − | 17.5491i | 0.0988971 | − | 0.560873i | ||||
\(980\) | −26.3065 | − | 3.22707i | −0.840331 | − | 0.103085i | ||||
\(981\) | 36.3142 | + | 10.8134i | 1.15942 | + | 0.345245i | ||||
\(982\) | 2.14929 | − | 35.1725i | 0.0685865 | − | 1.12240i | ||||
\(983\) | −5.24850 | + | 1.91030i | −0.167401 | + | 0.0609291i | −0.424361 | − | 0.905493i | \(-0.639501\pi\) |
0.256960 | + | 0.966422i | \(0.417279\pi\) | |||||||
\(984\) | −19.4240 | − | 26.5215i | −0.619213 | − | 0.845475i | ||||
\(985\) | −9.73805 | + | 8.17119i | −0.310280 | + | 0.260356i | ||||
\(986\) | −47.3505 | + | 5.39757i | −1.50795 | + | 0.171894i | ||||
\(987\) | −13.6850 | + | 4.10803i | −0.435599 | + | 0.130760i | ||||
\(988\) | 0.298888 | − | 0.278779i | 0.00950889 | − | 0.00886916i | ||||
\(989\) | −12.2336 | − | 21.1892i | −0.389005 | − | 0.673777i | ||||
\(990\) | 24.2756 | + | 0.0334380i | 0.771529 | + | 0.00106273i | ||||
\(991\) | 32.6527 | + | 18.8521i | 1.03725 | + | 0.598855i | 0.919053 | − | 0.394135i | \(-0.128956\pi\) |
0.118195 | + | 0.992990i | \(0.462289\pi\) | |||||||
\(992\) | 1.04943 | + | 23.8838i | 0.0333194 | + | 0.758311i | ||||
\(993\) | 31.6615 | − | 15.9303i | 1.00475 | − | 0.505532i | ||||
\(994\) | 9.00500 | + | 12.1681i | 0.285621 | + | 0.385950i | ||||
\(995\) | −6.64978 | + | 1.17254i | −0.210812 | + | 0.0371719i | ||||
\(996\) | 33.2701 | − | 18.9887i | 1.05420 | − | 0.601680i | ||||
\(997\) | 16.6660 | − | 19.8617i | 0.527817 | − | 0.629028i | −0.434594 | − | 0.900627i | \(-0.643108\pi\) |
0.962411 | + | 0.271599i | \(0.0875524\pi\) | |||||||
\(998\) | 26.7694 | − | 40.4491i | 0.847371 | − | 1.28039i | ||||
\(999\) | 10.4040 | − | 12.4549i | 0.329169 | − | 0.394057i |
(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 | 216.2.v.b.11.29 | yes | 192 | |
3.2 | odd | 2 | 648.2.v.b.35.4 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.335.20 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.11.19 | ✓ | 192 | |
8.5 | even | 2 | 864.2.bh.b.335.19 | 192 | |||
24.11 | even | 2 | 648.2.v.b.35.14 | 192 | |||
27.5 | odd | 18 | inner | 216.2.v.b.59.19 | yes | 192 | |
27.22 | even | 9 | 648.2.v.b.611.14 | 192 | |||
108.59 | even | 18 | 864.2.bh.b.815.19 | 192 | |||
216.5 | odd | 18 | 864.2.bh.b.815.20 | 192 | |||
216.59 | even | 18 | inner | 216.2.v.b.59.29 | yes | 192 | |
216.211 | odd | 18 | 648.2.v.b.611.4 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.19 | ✓ | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.11.29 | yes | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.59.19 | yes | 192 | 27.5 | odd | 18 | inner | |
216.2.v.b.59.29 | yes | 192 | 216.59 | even | 18 | inner | |
648.2.v.b.35.4 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.35.14 | 192 | 24.11 | even | 2 | |||
648.2.v.b.611.4 | 192 | 216.211 | odd | 18 | |||
648.2.v.b.611.14 | 192 | 27.22 | even | 9 | |||
864.2.bh.b.335.19 | 192 | 8.5 | even | 2 | |||
864.2.bh.b.335.20 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.815.19 | 192 | 108.59 | even | 18 | |||
864.2.bh.b.815.20 | 192 | 216.5 | odd | 18 |