Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(37,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.bd (of order \(24\), degree \(8\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.10 | ||
Character | \(\chi\) | \(=\) | 224.37 |
Dual form | 224.2.bd.a.109.10 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.631870 | − | 1.26520i | −0.446799 | − | 0.894634i | ||||
\(3\) | 0.678058 | − | 0.883663i | 0.391477 | − | 0.510183i | −0.555486 | − | 0.831526i | \(-0.687468\pi\) |
0.946963 | + | 0.321343i | \(0.104134\pi\) | |||||||
\(4\) | −1.20148 | + | 1.59889i | −0.600741 | + | 0.799444i | ||||
\(5\) | −2.77837 | + | 2.13192i | −1.24252 | + | 0.953423i | −0.999861 | − | 0.0166878i | \(-0.994688\pi\) |
−0.242664 | + | 0.970110i | \(0.578021\pi\) | |||||||
\(6\) | −1.54646 | − | 0.299522i | −0.631339 | − | 0.122279i | ||||
\(7\) | −2.64040 | − | 0.168196i | −0.997977 | − | 0.0635722i | ||||
\(8\) | 2.78210 | + | 0.509831i | 0.983620 | + | 0.180252i | ||||
\(9\) | 0.455360 | + | 1.69943i | 0.151787 | + | 0.566476i | ||||
\(10\) | 4.45288 | + | 2.16811i | 1.40812 | + | 0.685616i | ||||
\(11\) | −5.46757 | + | 0.719819i | −1.64853 | + | 0.217033i | −0.896801 | − | 0.442435i | \(-0.854115\pi\) |
−0.751732 | + | 0.659468i | \(0.770781\pi\) | |||||||
\(12\) | 0.598203 | + | 2.14584i | 0.172686 | + | 0.619452i | ||||
\(13\) | −1.04756 | + | 0.433913i | −0.290540 | + | 0.120346i | −0.523193 | − | 0.852214i | \(-0.675259\pi\) |
0.232653 | + | 0.972560i | \(0.425259\pi\) | |||||||
\(14\) | 1.45559 | + | 3.44692i | 0.389022 | + | 0.921229i | ||||
\(15\) | 3.90071i | 1.00716i | ||||||||
\(16\) | −1.11288 | − | 3.84207i | −0.278221 | − | 0.960517i | ||||
\(17\) | −0.0754320 | + | 0.0435507i | −0.0182950 | + | 0.0105626i | −0.509120 | − | 0.860696i | \(-0.670029\pi\) |
0.490825 | + | 0.871258i | \(0.336696\pi\) | |||||||
\(18\) | 1.86239 | − | 1.64994i | 0.438971 | − | 0.388895i | ||||
\(19\) | 0.824231 | − | 6.26066i | 0.189092 | − | 1.43629i | −0.588995 | − | 0.808137i | \(-0.700476\pi\) |
0.778087 | − | 0.628157i | \(-0.216190\pi\) | |||||||
\(20\) | −0.0705373 | − | 7.00376i | −0.0157726 | − | 1.56609i | ||||
\(21\) | −1.93897 | + | 2.21918i | −0.423119 | + | 0.484264i | ||||
\(22\) | 4.36551 | + | 6.46275i | 0.930729 | + | 1.37786i | ||||
\(23\) | 1.08108 | + | 4.03463i | 0.225420 | + | 0.841278i | 0.982236 | + | 0.187650i | \(0.0600872\pi\) |
−0.756816 | + | 0.653628i | \(0.773246\pi\) | |||||||
\(24\) | 2.33694 | − | 2.11274i | 0.477027 | − | 0.431262i | ||||
\(25\) | 1.88017 | − | 7.01688i | 0.376034 | − | 1.40338i | ||||
\(26\) | 1.21091 | + | 1.05120i | 0.237479 | + | 0.206157i | ||||
\(27\) | 4.89762 | + | 2.02866i | 0.942548 | + | 0.390416i | ||||
\(28\) | 3.44132 | − | 4.01962i | 0.650348 | − | 0.759636i | ||||
\(29\) | 0.818706 | + | 1.97653i | 0.152030 | + | 0.367033i | 0.981485 | − | 0.191541i | \(-0.0613486\pi\) |
−0.829455 | + | 0.558574i | \(0.811349\pi\) | |||||||
\(30\) | 4.93519 | − | 2.46474i | 0.901038 | − | 0.449997i | ||||
\(31\) | −1.68339 | − | 2.91571i | −0.302345 | − | 0.523677i | 0.674321 | − | 0.738438i | \(-0.264436\pi\) |
−0.976667 | + | 0.214761i | \(0.931103\pi\) | |||||||
\(32\) | −4.15780 | + | 3.83571i | −0.735003 | + | 0.678064i | ||||
\(33\) | −3.07125 | + | 5.31956i | −0.534636 | + | 0.926017i | ||||
\(34\) | 0.102764 | + | 0.0679185i | 0.0176238 | + | 0.0116479i | ||||
\(35\) | 7.69459 | − | 5.16180i | 1.30062 | − | 0.872504i | ||||
\(36\) | −3.26430 | − | 1.31376i | −0.544050 | − | 0.218960i | ||||
\(37\) | −6.85226 | + | 5.25793i | −1.12651 | + | 0.864398i | −0.991965 | − | 0.126510i | \(-0.959622\pi\) |
−0.134540 | + | 0.990908i | \(0.542956\pi\) | |||||||
\(38\) | −8.44182 | + | 2.91310i | −1.36944 | + | 0.472567i | ||||
\(39\) | −0.326873 | + | 1.21991i | −0.0523415 | + | 0.195341i | ||||
\(40\) | −8.81662 | + | 4.51471i | −1.39403 | + | 0.713838i | ||||
\(41\) | −2.23081 | + | 2.23081i | −0.348394 | + | 0.348394i | −0.859511 | − | 0.511117i | \(-0.829232\pi\) |
0.511117 | + | 0.859511i | \(0.329232\pi\) | |||||||
\(42\) | 4.03289 | + | 1.05097i | 0.622288 | + | 0.162168i | ||||
\(43\) | 0.669295 | − | 1.61582i | 0.102066 | − | 0.246410i | −0.864594 | − | 0.502470i | \(-0.832425\pi\) |
0.966661 | + | 0.256060i | \(0.0824245\pi\) | |||||||
\(44\) | 5.41827 | − | 9.60687i | 0.816835 | − | 1.44829i | ||||
\(45\) | −4.88820 | − | 3.75085i | −0.728690 | − | 0.559143i | ||||
\(46\) | 4.42153 | − | 3.91714i | 0.651919 | − | 0.577551i | ||||
\(47\) | 3.87662 | + | 2.23817i | 0.565464 | + | 0.326471i | 0.755336 | − | 0.655338i | \(-0.227474\pi\) |
−0.189872 | + | 0.981809i | \(0.560807\pi\) | |||||||
\(48\) | −4.14969 | − | 1.62173i | −0.598957 | − | 0.234077i | ||||
\(49\) | 6.94342 | + | 0.888210i | 0.991917 | + | 0.126887i | ||||
\(50\) | −10.0658 | + | 2.05496i | −1.42352 | + | 0.290615i | ||||
\(51\) | −0.0126632 | + | 0.0961864i | −0.00177320 | + | 0.0134688i | ||||
\(52\) | 0.564844 | − | 2.19627i | 0.0783297 | − | 0.304567i | ||||
\(53\) | −10.8911 | + | 1.43384i | −1.49601 | + | 0.196953i | −0.833674 | − | 0.552258i | \(-0.813767\pi\) |
−0.662332 | + | 0.749210i | \(0.730433\pi\) | |||||||
\(54\) | −0.527988 | − | 7.47834i | −0.0718501 | − | 1.01767i | ||||
\(55\) | 13.6563 | − | 13.6563i | 1.84142 | − | 1.84142i | ||||
\(56\) | −7.26010 | − | 1.81410i | −0.970172 | − | 0.242419i | ||||
\(57\) | −4.97343 | − | 4.97343i | −0.658747 | − | 0.658747i | ||||
\(58\) | 1.98340 | − | 2.28474i | 0.260433 | − | 0.300001i | ||||
\(59\) | −0.455116 | − | 3.45695i | −0.0592511 | − | 0.450057i | −0.995195 | − | 0.0979087i | \(-0.968785\pi\) |
0.935944 | − | 0.352148i | \(-0.114549\pi\) | |||||||
\(60\) | −6.23679 | − | 4.68663i | −0.805166 | − | 0.605041i | ||||
\(61\) | −1.17243 | − | 0.154354i | −0.150115 | − | 0.0197630i | 0.0550943 | − | 0.998481i | \(-0.482454\pi\) |
−0.205209 | + | 0.978718i | \(0.565787\pi\) | |||||||
\(62\) | −2.62529 | + | 3.97218i | −0.333412 | + | 0.504467i | ||||
\(63\) | −0.916496 | − | 4.56376i | −0.115468 | − | 0.574980i | ||||
\(64\) | 7.48015 | + | 2.83680i | 0.935018 | + | 0.354600i | ||||
\(65\) | 1.98544 | − | 3.43888i | 0.246263 | − | 0.426540i | ||||
\(66\) | 8.67096 | + | 0.524489i | 1.06732 | + | 0.0645601i | ||||
\(67\) | −3.42521 | + | 4.46382i | −0.418456 | + | 0.545343i | −0.954251 | − | 0.299005i | \(-0.903345\pi\) |
0.535795 | + | 0.844348i | \(0.320012\pi\) | |||||||
\(68\) | 0.0209975 | − | 0.172933i | 0.00254632 | − | 0.0209712i | ||||
\(69\) | 4.29828 | + | 1.78041i | 0.517453 | + | 0.214336i | ||||
\(70\) | −11.3927 | − | 6.47363i | −1.36169 | − | 0.773747i | ||||
\(71\) | 2.00400 | + | 2.00400i | 0.237831 | + | 0.237831i | 0.815951 | − | 0.578121i | \(-0.196214\pi\) |
−0.578121 | + | 0.815951i | \(0.696214\pi\) | |||||||
\(72\) | 0.400437 | + | 4.96013i | 0.0471919 | + | 0.584557i | ||||
\(73\) | 6.66334 | + | 1.78544i | 0.779885 | + | 0.208970i | 0.626734 | − | 0.779233i | \(-0.284391\pi\) |
0.153151 | + | 0.988203i | \(0.451058\pi\) | |||||||
\(74\) | 10.9821 | + | 5.34719i | 1.27664 | + | 0.621598i | ||||
\(75\) | −4.92569 | − | 6.41929i | −0.568770 | − | 0.741236i | ||||
\(76\) | 9.01979 | + | 8.83992i | 1.03464 | + | 1.01401i | ||||
\(77\) | 14.5576 | − | 0.980985i | 1.65900 | − | 0.111794i | ||||
\(78\) | 1.74997 | − | 0.357261i | 0.198145 | − | 0.0404518i | ||||
\(79\) | −4.42306 | − | 2.55365i | −0.497633 | − | 0.287308i | 0.230103 | − | 0.973166i | \(-0.426094\pi\) |
−0.727735 | + | 0.685858i | \(0.759427\pi\) | |||||||
\(80\) | 11.2830 | + | 8.30211i | 1.26148 | + | 0.928204i | ||||
\(81\) | 0.542531 | − | 0.313230i | 0.0602812 | − | 0.0348034i | ||||
\(82\) | 4.23201 | + | 1.41285i | 0.467348 | + | 0.156023i | ||||
\(83\) | −11.9232 | + | 4.93874i | −1.30874 | + | 0.542097i | −0.924516 | − | 0.381143i | \(-0.875530\pi\) |
−0.384223 | + | 0.923240i | \(0.625530\pi\) | |||||||
\(84\) | −1.21857 | − | 5.76650i | −0.132957 | − | 0.629177i | ||||
\(85\) | 0.116732 | − | 0.281815i | 0.0126613 | − | 0.0305671i | ||||
\(86\) | −2.46725 | + | 0.174193i | −0.266050 | + | 0.0187838i | ||||
\(87\) | 2.30172 | + | 0.616744i | 0.246770 | + | 0.0661218i | ||||
\(88\) | −15.5783 | − | 0.784926i | −1.66065 | − | 0.0836734i | ||||
\(89\) | −16.4982 | + | 4.42067i | −1.74880 | + | 0.468590i | −0.984370 | − | 0.176113i | \(-0.943648\pi\) |
−0.764433 | + | 0.644703i | \(0.776981\pi\) | |||||||
\(90\) | −1.65688 | + | 8.55462i | −0.174651 | + | 0.901736i | ||||
\(91\) | 2.83895 | − | 0.969508i | 0.297603 | − | 0.101632i | ||||
\(92\) | −7.74981 | − | 3.11901i | −0.807974 | − | 0.325180i | ||||
\(93\) | −3.71794 | − | 0.489476i | −0.385533 | − | 0.0507563i | ||||
\(94\) | 0.382221 | − | 6.31895i | 0.0394230 | − | 0.651750i | ||||
\(95\) | 11.0572 | + | 19.1516i | 1.13444 | + | 1.96491i | ||||
\(96\) | 0.570243 | + | 6.27493i | 0.0582001 | + | 0.640432i | ||||
\(97\) | 10.0666 | 1.02211 | 0.511057 | − | 0.859547i | \(-0.329254\pi\) | ||||
0.511057 | + | 0.859547i | \(0.329254\pi\) | |||||||
\(98\) | −3.26357 | − | 9.34607i | −0.329670 | − | 0.944096i | ||||
\(99\) | −3.71299 | − | 8.96396i | −0.373170 | − | 0.900911i | ||||
\(100\) | 8.96022 | + | 11.4368i | 0.896022 | + | 1.14368i | ||||
\(101\) | −2.30435 | − | 17.5032i | −0.229291 | − | 1.74164i | −0.588604 | − | 0.808421i | \(-0.700322\pi\) |
0.359313 | − | 0.933217i | \(-0.383011\pi\) | |||||||
\(102\) | 0.129697 | − | 0.0447558i | 0.0128419 | − | 0.00443148i | ||||
\(103\) | 6.25219 | − | 1.67527i | 0.616046 | − | 0.165069i | 0.0627165 | − | 0.998031i | \(-0.480024\pi\) |
0.553330 | + | 0.832962i | \(0.313357\pi\) | |||||||
\(104\) | −3.13563 | + | 0.673111i | −0.307474 | + | 0.0660039i | ||||
\(105\) | 0.656084 | − | 10.2994i | 0.0640272 | − | 1.00512i | ||||
\(106\) | 8.69584 | + | 12.8734i | 0.844615 | + | 1.25038i | ||||
\(107\) | 10.3517 | + | 13.4906i | 1.00074 | + | 1.30419i | 0.952236 | + | 0.305365i | \(0.0987783\pi\) |
0.0485028 | + | 0.998823i | \(0.484555\pi\) | |||||||
\(108\) | −9.12801 | + | 5.39335i | −0.878343 | + | 0.518975i | ||||
\(109\) | 13.0868 | + | 10.0418i | 1.25349 | + | 0.961834i | 0.999985 | − | 0.00550040i | \(-0.00175084\pi\) |
0.253502 | + | 0.967335i | \(0.418418\pi\) | |||||||
\(110\) | −25.9070 | − | 8.64902i | −2.47014 | − | 0.824651i | ||||
\(111\) | 9.62027i | 0.913116i | ||||||||
\(112\) | 2.29224 | + | 10.3318i | 0.216596 | + | 0.976261i | ||||
\(113\) | 10.4946i | 0.987249i | 0.869675 | + | 0.493625i | \(0.164328\pi\) | ||||
−0.869675 | + | 0.493625i | \(0.835672\pi\) | |||||||
\(114\) | −3.14985 | + | 9.43497i | −0.295010 | + | 0.883666i | ||||
\(115\) | −11.6051 | − | 8.90493i | −1.08218 | − | 0.830389i | ||||
\(116\) | −4.14391 | − | 1.06575i | −0.384753 | − | 0.0989522i | ||||
\(117\) | −1.21442 | − | 1.58266i | −0.112273 | − | 0.146317i | ||||
\(118\) | −4.08617 | + | 2.76016i | −0.376163 | + | 0.254093i | ||||
\(119\) | 0.206496 | − | 0.102304i | 0.0189294 | − | 0.00937818i | ||||
\(120\) | −1.98870 | + | 10.8521i | −0.181543 | + | 0.990661i | ||||
\(121\) | 18.7509 | − | 5.02430i | 1.70463 | − | 0.456755i | ||||
\(122\) | 0.545536 | + | 1.58090i | 0.0493905 | + | 0.143128i | ||||
\(123\) | 0.458665 | + | 3.48390i | 0.0413564 | + | 0.314133i | ||||
\(124\) | 6.68446 | + | 0.811628i | 0.600282 | + | 0.0728863i | ||||
\(125\) | 3.03472 | + | 7.32646i | 0.271433 | + | 0.655298i | ||||
\(126\) | −5.19498 | + | 4.04325i | −0.462806 | + | 0.360202i | ||||
\(127\) | −5.75224 | −0.510428 | −0.255214 | − | 0.966885i | \(-0.582146\pi\) | ||||
−0.255214 | + | 0.966885i | \(0.582146\pi\) | |||||||
\(128\) | −1.13735 | − | 11.2564i | −0.100528 | − | 0.994934i | ||||
\(129\) | −0.974019 | − | 1.68705i | −0.0857576 | − | 0.148537i | ||||
\(130\) | −5.60542 | − | 0.339060i | −0.491628 | − | 0.0297375i | ||||
\(131\) | 4.21223 | + | 0.554551i | 0.368024 | + | 0.0484513i | 0.312271 | − | 0.949993i | \(-0.398910\pi\) |
0.0557538 | + | 0.998445i | \(0.482244\pi\) | |||||||
\(132\) | −4.81533 | − | 11.3019i | −0.419121 | − | 0.983708i | ||||
\(133\) | −3.22932 | + | 16.3920i | −0.280017 | + | 1.42137i | ||||
\(134\) | 7.81193 | + | 1.51304i | 0.674848 | + | 0.130706i | ||||
\(135\) | −17.9323 | + | 4.80496i | −1.54337 | + | 0.413545i | ||||
\(136\) | −0.232063 | + | 0.0827048i | −0.0198992 | + | 0.00709188i | ||||
\(137\) | 17.2203 | + | 4.61417i | 1.47123 | + | 0.394216i | 0.903354 | − | 0.428897i | \(-0.141098\pi\) |
0.567879 | + | 0.823112i | \(0.307764\pi\) | |||||||
\(138\) | −0.463376 | − | 6.56319i | −0.0394452 | − | 0.558696i | ||||
\(139\) | 1.72179 | − | 4.15676i | 0.146040 | − | 0.352572i | −0.833885 | − | 0.551938i | \(-0.813888\pi\) |
0.979925 | + | 0.199366i | \(0.0638884\pi\) | |||||||
\(140\) | −0.991759 | + | 18.5046i | −0.0838189 | + | 1.56392i | ||||
\(141\) | 4.60637 | − | 1.90802i | 0.387926 | − | 0.160684i | ||||
\(142\) | 1.26920 | − | 3.80173i | 0.106509 | − | 0.319034i | ||||
\(143\) | 5.41525 | − | 3.12650i | 0.452846 | − | 0.261451i | ||||
\(144\) | 6.02255 | − | 3.64079i | 0.501880 | − | 0.303399i | ||||
\(145\) | −6.48847 | − | 3.74612i | −0.538838 | − | 0.311098i | ||||
\(146\) | −1.95142 | − | 9.55865i | −0.161501 | − | 0.791080i | ||||
\(147\) | 5.49292 | − | 5.53338i | 0.453049 | − | 0.456386i | ||||
\(148\) | −0.173965 | − | 17.2733i | −0.0142999 | − | 1.41986i | ||||
\(149\) | 3.53959 | + | 4.61288i | 0.289974 | + | 0.377902i | 0.915511 | − | 0.402293i | \(-0.131787\pi\) |
−0.625537 | + | 0.780195i | \(0.715120\pi\) | |||||||
\(150\) | −5.00931 | + | 10.2882i | −0.409009 | + | 0.840025i | ||||
\(151\) | 6.44656 | + | 1.72735i | 0.524614 | + | 0.140570i | 0.511400 | − | 0.859343i | \(-0.329127\pi\) |
0.0132137 | + | 0.999913i | \(0.495794\pi\) | |||||||
\(152\) | 5.48497 | − | 16.9975i | 0.444890 | − | 1.37868i | ||||
\(153\) | −0.108360 | − | 0.108360i | −0.00876039 | − | 0.00876039i | ||||
\(154\) | −10.4397 | − | 17.7985i | −0.841252 | − | 1.43425i | ||||
\(155\) | 10.8931 | + | 4.51208i | 0.874957 | + | 0.362419i | ||||
\(156\) | −1.55776 | − | 1.98833i | −0.124721 | − | 0.159194i | ||||
\(157\) | −7.34823 | + | 9.57640i | −0.586453 | + | 0.764280i | −0.988481 | − | 0.151348i | \(-0.951639\pi\) |
0.402028 | + | 0.915627i | \(0.368305\pi\) | |||||||
\(158\) | −0.436097 | + | 7.20964i | −0.0346940 | + | 0.573568i | ||||
\(159\) | −6.11776 | + | 10.5963i | −0.485170 | + | 0.840339i | ||||
\(160\) | 3.37449 | − | 19.5211i | 0.266777 | − | 1.54328i | ||||
\(161\) | −2.17586 | − | 10.8349i | −0.171482 | − | 0.853907i | ||||
\(162\) | −0.739109 | − | 0.488491i | −0.0580699 | − | 0.0383795i | ||||
\(163\) | −21.8254 | − | 2.87337i | −1.70950 | − | 0.225060i | −0.788611 | − | 0.614892i | \(-0.789199\pi\) |
−0.920886 | + | 0.389833i | \(0.872533\pi\) | |||||||
\(164\) | −0.886538 | − | 6.24709i | −0.0692270 | − | 0.487816i | ||||
\(165\) | −2.80780 | − | 21.3274i | −0.218587 | − | 1.66033i | ||||
\(166\) | 13.7824 | + | 11.9646i | 1.06972 | + | 0.928634i | ||||
\(167\) | −5.88770 | − | 5.88770i | −0.455604 | − | 0.455604i | 0.441606 | − | 0.897209i | \(-0.354409\pi\) |
−0.897209 | + | 0.441606i | \(0.854409\pi\) | |||||||
\(168\) | −6.52582 | + | 5.18542i | −0.503478 | + | 0.400064i | ||||
\(169\) | −8.28329 | + | 8.28329i | −0.637176 | + | 0.637176i | ||||
\(170\) | −0.430312 | + | 0.0303810i | −0.0330035 | + | 0.00233012i | ||||
\(171\) | 11.0149 | − | 1.45013i | 0.842327 | − | 0.110894i | ||||
\(172\) | 1.77937 | + | 3.01150i | 0.135676 | + | 0.229625i | ||||
\(173\) | 1.59365 | − | 12.1050i | 0.121163 | − | 0.920324i | −0.817607 | − | 0.575777i | \(-0.804699\pi\) |
0.938769 | − | 0.344546i | \(-0.111967\pi\) | |||||||
\(174\) | −0.674079 | − | 3.30184i | −0.0511018 | − | 0.250312i | ||||
\(175\) | −6.14461 | + | 18.2111i | −0.464489 | + | 1.37663i | ||||
\(176\) | 8.85036 | + | 20.2057i | 0.667121 | + | 1.52306i | ||||
\(177\) | −3.36337 | − | 1.94185i | −0.252807 | − | 0.145958i | ||||
\(178\) | 16.0177 | + | 18.0803i | 1.20058 | + | 1.35517i | ||||
\(179\) | −6.29016 | − | 4.82661i | −0.470148 | − | 0.360757i | 0.346350 | − | 0.938105i | \(-0.387421\pi\) |
−0.816498 | + | 0.577348i | \(0.804088\pi\) | |||||||
\(180\) | 11.8703 | − | 3.30911i | 0.884757 | − | 0.246646i | ||||
\(181\) | −1.28039 | + | 3.09113i | −0.0951703 | + | 0.229762i | −0.964294 | − | 0.264833i | \(-0.914683\pi\) |
0.869124 | + | 0.494594i | \(0.164683\pi\) | |||||||
\(182\) | −3.02047 | − | 2.97925i | −0.223892 | − | 0.220837i | ||||
\(183\) | −0.931374 | + | 0.931374i | −0.0688492 | + | 0.0688492i | ||||
\(184\) | 0.950681 | + | 11.7759i | 0.0700851 | + | 0.868131i | ||||
\(185\) | 7.82865 | − | 29.2169i | 0.575574 | − | 2.14807i | ||||
\(186\) | 1.72997 | + | 5.01324i | 0.126847 | + | 0.367589i | ||||
\(187\) | 0.381081 | − | 0.292414i | 0.0278674 | − | 0.0213834i | ||||
\(188\) | −8.23628 | + | 3.50917i | −0.600692 | + | 0.255932i | ||||
\(189\) | −12.5905 | − | 6.18024i | −0.915822 | − | 0.449546i | ||||
\(190\) | 17.2440 | − | 26.0909i | 1.25101 | − | 1.89283i | ||||
\(191\) | 4.09795 | − | 7.09787i | 0.296518 | − | 0.513584i | −0.678819 | − | 0.734305i | \(-0.737508\pi\) |
0.975337 | + | 0.220722i | \(0.0708413\pi\) | |||||||
\(192\) | 7.57875 | − | 4.68641i | 0.546949 | − | 0.338213i | ||||
\(193\) | −3.78434 | − | 6.55467i | −0.272403 | − | 0.471816i | 0.697074 | − | 0.716999i | \(-0.254485\pi\) |
−0.969477 | + | 0.245184i | \(0.921152\pi\) | |||||||
\(194\) | −6.36081 | − | 12.7364i | −0.456679 | − | 0.914417i | ||||
\(195\) | −1.69257 | − | 4.08621i | −0.121207 | − | 0.292620i | ||||
\(196\) | −9.76254 | + | 10.0346i | −0.697324 | + | 0.716756i | ||||
\(197\) | −13.5207 | − | 5.60046i | −0.963310 | − | 0.399016i | −0.155092 | − | 0.987900i | \(-0.549567\pi\) |
−0.808218 | + | 0.588884i | \(0.799567\pi\) | |||||||
\(198\) | −8.99510 | + | 10.3617i | −0.639254 | + | 0.736377i | ||||
\(199\) | 0.681478 | − | 2.54331i | 0.0483087 | − | 0.180291i | −0.937556 | − | 0.347835i | \(-0.886917\pi\) |
0.985865 | + | 0.167544i | \(0.0535837\pi\) | |||||||
\(200\) | 8.80823 | − | 18.5631i | 0.622836 | − | 1.31261i | ||||
\(201\) | 1.62202 | + | 6.05346i | 0.114409 | + | 0.426978i | ||||
\(202\) | −20.6891 | + | 13.9752i | −1.45568 | + | 0.983294i | ||||
\(203\) | −1.82927 | − | 5.35654i | −0.128389 | − | 0.375955i | ||||
\(204\) | −0.138577 | − | 0.135813i | −0.00970231 | − | 0.00950883i | ||||
\(205\) | 1.44211 | − | 10.9539i | 0.100721 | − | 0.765055i | ||||
\(206\) | −6.07012 | − | 6.85174i | −0.422926 | − | 0.477383i | ||||
\(207\) | −6.36428 | + | 3.67442i | −0.442348 | + | 0.255390i | ||||
\(208\) | 2.83293 | + | 3.54189i | 0.196428 | + | 0.245586i | ||||
\(209\) | 34.8239i | 2.40882i | ||||||||
\(210\) | −13.4454 | + | 5.67781i | −0.927823 | + | 0.391806i | ||||
\(211\) | −9.97140 | + | 4.13029i | −0.686460 | + | 0.284341i | −0.698524 | − | 0.715586i | \(-0.746160\pi\) |
0.0120646 | + | 0.999927i | \(0.496160\pi\) | |||||||
\(212\) | 10.7929 | − | 19.1364i | 0.741259 | − | 1.31429i | ||||
\(213\) | 3.12969 | − | 0.412031i | 0.214443 | − | 0.0282319i | ||||
\(214\) | 10.5275 | − | 21.6213i | 0.719642 | − | 1.47800i | ||||
\(215\) | 1.58525 | + | 5.91623i | 0.108113 | + | 0.403483i | ||||
\(216\) | 12.5914 | + | 8.14090i | 0.856736 | + | 0.553918i | ||||
\(217\) | 3.95440 | + | 7.98179i | 0.268442 | + | 0.541839i | ||||
\(218\) | 4.43584 | − | 22.9026i | 0.300433 | − | 1.55116i | ||||
\(219\) | 6.09586 | − | 4.67752i | 0.411920 | − | 0.316077i | ||||
\(220\) | 5.42711 | + | 38.2427i | 0.365895 | + | 2.57833i | ||||
\(221\) | 0.0601222 | − | 0.0783528i | 0.00404426 | − | 0.00527058i | ||||
\(222\) | 12.1716 | − | 6.07876i | 0.816905 | − | 0.407979i | ||||
\(223\) | −25.7806 | −1.72640 | −0.863200 | − | 0.504863i | \(-0.831543\pi\) | ||||
−0.863200 | + | 0.504863i | \(0.831543\pi\) | |||||||
\(224\) | 11.6234 | − | 9.42848i | 0.776622 | − | 0.629967i | ||||
\(225\) | 12.7808 | 0.852056 | ||||||||
\(226\) | 13.2778 | − | 6.63122i | 0.883227 | − | 0.441102i | ||||
\(227\) | −4.72642 | + | 6.15959i | −0.313703 | + | 0.408826i | −0.923419 | − | 0.383794i | \(-0.874617\pi\) |
0.609715 | + | 0.792621i | \(0.291284\pi\) | |||||||
\(228\) | 13.9275 | − | 1.97647i | 0.922368 | − | 0.130895i | ||||
\(229\) | 17.6325 | − | 13.5299i | 1.16519 | − | 0.894080i | 0.169380 | − | 0.985551i | \(-0.445823\pi\) |
0.995808 | + | 0.0914704i | \(0.0291567\pi\) | |||||||
\(230\) | −3.93362 | + | 20.3096i | −0.259375 | + | 1.33918i | ||||
\(231\) | 9.00406 | − | 13.5292i | 0.592424 | − | 0.890156i | ||||
\(232\) | 1.27003 | + | 5.91631i | 0.0833812 | + | 0.388425i | ||||
\(233\) | −1.87854 | − | 7.01079i | −0.123067 | − | 0.459292i | 0.876696 | − | 0.481044i | \(-0.159742\pi\) |
−0.999763 | + | 0.0217517i | \(0.993076\pi\) | |||||||
\(234\) | −1.23504 | + | 2.53652i | −0.0807368 | + | 0.165818i | ||||
\(235\) | −15.5423 | + | 2.04618i | −1.01387 | + | 0.133478i | ||||
\(236\) | 6.07409 | + | 3.42578i | 0.395390 | + | 0.223000i | ||||
\(237\) | −5.25566 | + | 2.17696i | −0.341392 | + | 0.141409i | ||||
\(238\) | −0.259914 | − | 0.196617i | −0.0168477 | − | 0.0127448i | ||||
\(239\) | − | 1.36010i | − | 0.0879775i | −0.999032 | − | 0.0439888i | \(-0.985993\pi\) | ||
0.999032 | − | 0.0439888i | \(-0.0140066\pi\) | |||||||
\(240\) | 14.9868 | − | 4.34103i | 0.967392 | − | 0.280212i | ||||
\(241\) | −9.29023 | + | 5.36372i | −0.598437 | + | 0.345508i | −0.768426 | − | 0.639938i | \(-0.778960\pi\) |
0.169990 | + | 0.985446i | \(0.445627\pi\) | |||||||
\(242\) | −18.2049 | − | 20.5491i | −1.17026 | − | 1.32094i | ||||
\(243\) | −1.98474 | + | 15.0756i | −0.127321 | + | 0.967099i | ||||
\(244\) | 1.65545 | − | 1.68914i | 0.105979 | − | 0.108136i | ||||
\(245\) | −21.1850 | + | 12.3350i | −1.35346 | + | 0.788056i | ||||
\(246\) | 4.11803 | − | 2.78168i | 0.262556 | − | 0.177353i | ||||
\(247\) | 1.85315 | + | 6.91605i | 0.117913 | + | 0.440057i | ||||
\(248\) | −3.19683 | − | 8.97004i | −0.202999 | − | 0.569598i | ||||
\(249\) | −3.72043 | + | 13.8848i | −0.235772 | + | 0.879915i | ||||
\(250\) | 7.35191 | − | 8.46890i | 0.464976 | − | 0.535620i | ||||
\(251\) | −17.1357 | − | 7.09785i | −1.08160 | − | 0.448012i | −0.230528 | − | 0.973066i | \(-0.574045\pi\) |
−0.851069 | + | 0.525054i | \(0.824045\pi\) | |||||||
\(252\) | 8.39809 | + | 4.01790i | 0.529030 | + | 0.253104i | ||||
\(253\) | −8.81505 | − | 21.2814i | −0.554198 | − | 1.33795i | ||||
\(254\) | 3.63466 | + | 7.27775i | 0.228059 | + | 0.456647i | ||||
\(255\) | −0.169879 | − | 0.294238i | −0.0106382 | − | 0.0184259i | ||||
\(256\) | −13.5230 | + | 8.55155i | −0.845186 | + | 0.534472i | ||||
\(257\) | −3.03363 | + | 5.25440i | −0.189233 | + | 0.327761i | −0.944995 | − | 0.327086i | \(-0.893933\pi\) |
0.755762 | + | 0.654846i | \(0.227267\pi\) | |||||||
\(258\) | −1.51901 | + | 2.29833i | −0.0945694 | + | 0.143088i | ||||
\(259\) | 18.9771 | − | 12.7305i | 1.17918 | − | 0.791035i | ||||
\(260\) | 3.11291 | + | 7.30624i | 0.193055 | + | 0.453114i | ||||
\(261\) | −2.98617 | + | 2.29137i | −0.184839 | + | 0.141832i | ||||
\(262\) | −1.95996 | − | 5.67974i | −0.121087 | − | 0.350895i | ||||
\(263\) | 3.27941 | − | 12.2389i | 0.202217 | − | 0.754684i | −0.788063 | − | 0.615595i | \(-0.788916\pi\) |
0.990280 | − | 0.139089i | \(-0.0444175\pi\) | |||||||
\(264\) | −11.2566 | + | 13.2337i | −0.692796 | + | 0.814480i | ||||
\(265\) | 27.2026 | − | 27.2026i | 1.67104 | − | 1.67104i | ||||
\(266\) | 22.7797 | − | 6.27186i | 1.39672 | − | 0.384553i | ||||
\(267\) | −7.28034 | + | 17.5763i | −0.445550 | + | 1.07565i | ||||
\(268\) | −3.02182 | − | 10.8397i | −0.184587 | − | 0.662142i | ||||
\(269\) | 14.8176 | + | 11.3700i | 0.903448 | + | 0.693240i | 0.952169 | − | 0.305572i | \(-0.0988478\pi\) |
−0.0487208 | + | 0.998812i | \(0.515514\pi\) | |||||||
\(270\) | 17.4102 | + | 19.6520i | 1.05955 | + | 1.19598i | ||||
\(271\) | 3.69911 | + | 2.13568i | 0.224705 | + | 0.129733i | 0.608127 | − | 0.793840i | \(-0.291921\pi\) |
−0.383422 | + | 0.923573i | \(0.625255\pi\) | |||||||
\(272\) | 0.251272 | + | 0.241348i | 0.0152356 | + | 0.0146339i | ||||
\(273\) | 1.06826 | − | 3.16606i | 0.0646539 | − | 0.191619i | ||||
\(274\) | −5.04313 | − | 24.7028i | −0.304667 | − | 1.49235i | ||||
\(275\) | −5.22906 | + | 39.7186i | −0.315324 | + | 2.39512i | ||||
\(276\) | −8.01098 | + | 4.73335i | −0.482204 | + | 0.284914i | ||||
\(277\) | 9.77398 | − | 1.28677i | 0.587261 | − | 0.0773144i | 0.168960 | − | 0.985623i | \(-0.445959\pi\) |
0.418301 | + | 0.908308i | \(0.362626\pi\) | |||||||
\(278\) | −6.34709 | + | 0.448119i | −0.380673 | + | 0.0268764i | ||||
\(279\) | 4.18850 | − | 4.18850i | 0.250759 | − | 0.250759i | ||||
\(280\) | 24.0387 | − | 10.4377i | 1.43659 | − | 0.623773i | ||||
\(281\) | −11.7209 | − | 11.7209i | −0.699210 | − | 0.699210i | 0.265030 | − | 0.964240i | \(-0.414618\pi\) |
−0.964240 | + | 0.265030i | \(0.914618\pi\) | |||||||
\(282\) | −5.32466 | − | 4.62237i | −0.317079 | − | 0.275258i | ||||
\(283\) | 3.79675 | + | 28.8392i | 0.225694 | + | 1.71431i | 0.611089 | + | 0.791562i | \(0.290732\pi\) |
−0.385395 | + | 0.922752i | \(0.625935\pi\) | |||||||
\(284\) | −5.61193 | + | 0.796401i | −0.333007 | + | 0.0472577i | ||||
\(285\) | 24.4210 | + | 3.21508i | 1.44657 | + | 0.190445i | ||||
\(286\) | −7.37739 | − | 4.87586i | −0.436234 | − | 0.288316i | ||||
\(287\) | 6.26545 | − | 5.51502i | 0.369838 | − | 0.325541i | ||||
\(288\) | −8.41181 | − | 5.31925i | −0.495671 | − | 0.313440i | ||||
\(289\) | −8.49621 | + | 14.7159i | −0.499777 | + | 0.865639i | ||||
\(290\) | −0.639739 | + | 10.5763i | −0.0375668 | + | 0.621062i | ||||
\(291\) | 6.82577 | − | 8.89552i | 0.400134 | − | 0.521465i | ||||
\(292\) | −10.8606 | + | 8.50877i | −0.635568 | + | 0.497938i | ||||
\(293\) | 19.9714 | + | 8.27244i | 1.16674 | + | 0.483281i | 0.880115 | − | 0.474761i | \(-0.157465\pi\) |
0.286629 | + | 0.958042i | \(0.407465\pi\) | |||||||
\(294\) | −10.4717 | − | 3.45329i | −0.610720 | − | 0.201400i | ||||
\(295\) | 8.63442 | + | 8.63442i | 0.502715 | + | 0.502715i | ||||
\(296\) | −21.7443 | + | 11.1346i | −1.26386 | + | 0.647184i | ||||
\(297\) | −28.2383 | − | 7.56644i | −1.63855 | − | 0.439049i | ||||
\(298\) | 3.59968 | − | 7.39304i | 0.208524 | − | 0.428267i | ||||
\(299\) | −2.88317 | − | 3.75741i | −0.166738 | − | 0.217297i | ||||
\(300\) | 16.1819 | − | 0.162973i | 0.934260 | − | 0.00940926i | ||||
\(301\) | −2.03898 | + | 4.15384i | −0.117525 | + | 0.239423i | ||||
\(302\) | −1.88793 | − | 9.24767i | −0.108638 | − | 0.532144i | ||||
\(303\) | −17.0294 | − | 9.83196i | −0.978316 | − | 0.564831i | ||||
\(304\) | −24.9712 | + | 3.80063i | −1.43219 | + | 0.217981i | ||||
\(305\) | 3.58652 | − | 2.07068i | 0.205364 | − | 0.118567i | ||||
\(306\) | −0.0686281 | + | 0.205567i | −0.00392321 | + | 0.0117515i | ||||
\(307\) | 9.63473 | − | 3.99084i | 0.549883 | − | 0.227769i | −0.0904034 | − | 0.995905i | \(-0.528816\pi\) |
0.640287 | + | 0.768136i | \(0.278816\pi\) | |||||||
\(308\) | −15.9222 | + | 24.4546i | −0.907254 | + | 1.39343i | ||||
\(309\) | 2.75897 | − | 6.66075i | 0.156953 | − | 0.378917i | ||||
\(310\) | −1.17433 | − | 16.6331i | −0.0666977 | − | 0.944696i | ||||
\(311\) | −20.6125 | − | 5.52310i | −1.16883 | − | 0.313186i | −0.378341 | − | 0.925666i | \(-0.623505\pi\) |
−0.790486 | + | 0.612480i | \(0.790172\pi\) | |||||||
\(312\) | −1.53134 | + | 3.22725i | −0.0866949 | + | 0.182707i | ||||
\(313\) | −18.0723 | + | 4.84246i | −1.02151 | + | 0.273712i | −0.730430 | − | 0.682987i | \(-0.760680\pi\) |
−0.291078 | + | 0.956699i | \(0.594014\pi\) | |||||||
\(314\) | 16.7592 | + | 3.24597i | 0.945777 | + | 0.183181i | ||||
\(315\) | 12.2759 | + | 10.7259i | 0.691670 | + | 0.604337i | ||||
\(316\) | 9.39723 | − | 4.00380i | 0.528635 | − | 0.225232i | ||||
\(317\) | 20.2146 | + | 2.66130i | 1.13536 | + | 0.149473i | 0.674693 | − | 0.738098i | \(-0.264276\pi\) |
0.460670 | + | 0.887572i | \(0.347609\pi\) | |||||||
\(318\) | 17.2721 | + | 1.04475i | 0.968570 | + | 0.0585868i | ||||
\(319\) | −5.89907 | − | 10.2175i | −0.330285 | − | 0.572070i | ||||
\(320\) | −26.8304 | + | 8.06538i | −1.49987 | + | 0.450868i | ||||
\(321\) | 18.9402 | 1.05714 | ||||||||
\(322\) | −12.3335 | + | 9.59913i | −0.687316 | + | 0.534939i | ||||
\(323\) | 0.210483 | + | 0.508150i | 0.0117116 | + | 0.0282742i | ||||
\(324\) | −0.151021 | + | 1.24379i | −0.00839004 | + | 0.0690992i | ||||
\(325\) | 1.07513 | + | 8.16642i | 0.0596374 | + | 0.452991i | ||||
\(326\) | 10.1554 | + | 29.4292i | 0.562456 | + | 1.62993i | ||||
\(327\) | 17.7472 | − | 4.75535i | 0.981423 | − | 0.262971i | ||||
\(328\) | −7.34367 | + | 5.06900i | −0.405486 | + | 0.279889i | ||||
\(329\) | −9.85939 | − | 6.56170i | −0.543566 | − | 0.361758i | ||||
\(330\) | −25.2093 | + | 17.0286i | −1.38773 | + | 0.937391i | ||||
\(331\) | −2.17813 | − | 2.83859i | −0.119721 | − | 0.156023i | 0.729648 | − | 0.683823i | \(-0.239684\pi\) |
−0.849369 | + | 0.527800i | \(0.823017\pi\) | |||||||
\(332\) | 6.42898 | − | 24.9976i | 0.352836 | − | 1.37192i | ||||
\(333\) | −12.0557 | − | 9.25068i | −0.660649 | − | 0.506934i | ||||
\(334\) | −3.72888 | + | 11.1694i | −0.204035 | + | 0.611162i | ||||
\(335\) | − | 19.7044i | − | 1.07657i | ||||||
\(336\) | 10.6841 | + | 4.97998i | 0.582864 | + | 0.271680i | ||||
\(337\) | − | 10.1269i | − | 0.551647i | −0.961208 | − | 0.275824i | \(-0.911049\pi\) | ||
0.961208 | − | 0.275824i | \(-0.0889506\pi\) | |||||||
\(338\) | 15.7140 | + | 5.24609i | 0.854730 | + | 0.285350i | ||||
\(339\) | 9.27369 | + | 7.11595i | 0.503678 | + | 0.386486i | ||||
\(340\) | 0.310340 | + | 0.525236i | 0.0168305 | + | 0.0284849i | ||||
\(341\) | 11.3028 | + | 14.7301i | 0.612082 | + | 0.797680i | ||||
\(342\) | −8.79467 | − | 13.0197i | −0.475561 | − | 0.704027i | ||||
\(343\) | −18.1840 | − | 3.51309i | −0.981844 | − | 0.189689i | ||||
\(344\) | 2.68584 | − | 4.15414i | 0.144811 | − | 0.223976i | ||||
\(345\) | −15.7379 | + | 4.21696i | −0.847300 | + | 0.227033i | ||||
\(346\) | −16.3222 | + | 5.63247i | −0.877488 | + | 0.302803i | ||||
\(347\) | 1.71775 | + | 13.0476i | 0.0922135 | + | 0.700431i | 0.973637 | + | 0.228104i | \(0.0732525\pi\) |
−0.881423 | + | 0.472327i | \(0.843414\pi\) | |||||||
\(348\) | −3.75158 | + | 2.93918i | −0.201106 | + | 0.157557i | ||||
\(349\) | 1.32472 | + | 3.19817i | 0.0709109 | + | 0.171194i | 0.955361 | − | 0.295440i | \(-0.0954664\pi\) |
−0.884450 | + | 0.466634i | \(0.845466\pi\) | |||||||
\(350\) | 26.9234 | − | 3.73288i | 1.43912 | − | 0.199531i | ||||
\(351\) | −6.01080 | −0.320833 | ||||||||
\(352\) | 19.9720 | − | 23.9649i | 1.06451 | − | 1.27733i | ||||
\(353\) | 5.04340 | + | 8.73543i | 0.268433 | + | 0.464940i | 0.968457 | − | 0.249179i | \(-0.0801608\pi\) |
−0.700024 | + | 0.714119i | \(0.746827\pi\) | |||||||
\(354\) | −0.331616 | + | 5.48235i | −0.0176252 | + | 0.291383i | ||||
\(355\) | −9.84021 | − | 1.29549i | −0.522264 | − | 0.0687573i | ||||
\(356\) | 12.7541 | − | 31.6901i | 0.675966 | − | 1.67957i | ||||
\(357\) | 0.0496140 | − | 0.251841i | 0.00262585 | − | 0.0133288i | ||||
\(358\) | −2.13208 | + | 11.0081i | −0.112684 | + | 0.581797i | ||||
\(359\) | −18.5620 | + | 4.97368i | −0.979667 | + | 0.262501i | −0.712904 | − | 0.701261i | \(-0.752621\pi\) |
−0.266763 | + | 0.963762i | \(0.585954\pi\) | |||||||
\(360\) | −11.6872 | − | 12.9274i | −0.615967 | − | 0.681333i | ||||
\(361\) | −20.1639 | − | 5.40290i | −1.06126 | − | 0.284363i | ||||
\(362\) | 4.71994 | − | 0.333239i | 0.248075 | − | 0.0175146i | ||||
\(363\) | 8.27445 | − | 19.9763i | 0.434296 | − | 1.04848i | ||||
\(364\) | −1.86082 | + | 5.70401i | −0.0975333 | + | 0.298972i | ||||
\(365\) | −22.3196 | + | 9.24510i | −1.16826 | + | 0.483910i | ||||
\(366\) | 1.76689 | + | 0.589871i | 0.0923566 | + | 0.0308331i | ||||
\(367\) | −13.4244 | + | 7.75059i | −0.700749 | + | 0.404578i | −0.807626 | − | 0.589695i | \(-0.799248\pi\) |
0.106877 | + | 0.994272i | \(0.465915\pi\) | |||||||
\(368\) | 14.2982 | − | 8.64364i | 0.745346 | − | 0.450581i | ||||
\(369\) | −4.80692 | − | 2.77528i | −0.250238 | − | 0.144475i | ||||
\(370\) | −41.9121 | + | 8.55645i | −2.17890 | + | 0.444828i | ||||
\(371\) | 28.9980 | − | 1.95407i | 1.50550 | − | 0.101450i | ||||
\(372\) | 5.24966 | − | 5.35647i | 0.272182 | − | 0.277720i | ||||
\(373\) | 0.963790 | + | 1.25604i | 0.0499031 | + | 0.0650350i | 0.817638 | − | 0.575732i | \(-0.195283\pi\) |
−0.767735 | + | 0.640767i | \(0.778616\pi\) | |||||||
\(374\) | −0.610756 | − | 0.297378i | −0.0315815 | − | 0.0153770i | ||||
\(375\) | 8.53183 | + | 2.28610i | 0.440582 | + | 0.118054i | ||||
\(376\) | 9.64406 | + | 8.20323i | 0.497355 | + | 0.423049i | ||||
\(377\) | −1.71528 | − | 1.71528i | −0.0883416 | − | 0.0883416i | ||||
\(378\) | 0.136271 | + | 19.8346i | 0.00700904 | + | 1.02018i | ||||
\(379\) | 14.7376 | + | 6.10452i | 0.757020 | + | 0.313568i | 0.727602 | − | 0.685999i | \(-0.240635\pi\) |
0.0294179 | + | 0.999567i | \(0.490635\pi\) | |||||||
\(380\) | −43.9063 | − | 5.33111i | −2.25235 | − | 0.273480i | ||||
\(381\) | −3.90035 | + | 5.08304i | −0.199821 | + | 0.260412i | ||||
\(382\) | −11.5696 | − | 0.699823i | −0.591953 | − | 0.0358060i | ||||
\(383\) | 8.10643 | − | 14.0408i | 0.414219 | − | 0.717449i | −0.581127 | − | 0.813813i | \(-0.697388\pi\) |
0.995346 | + | 0.0963641i | \(0.0307213\pi\) | |||||||
\(384\) | −10.7180 | − | 6.62746i | −0.546953 | − | 0.338206i | ||||
\(385\) | −38.3551 | + | 33.7612i | −1.95476 | + | 1.72063i | ||||
\(386\) | −5.90179 | + | 8.92966i | −0.300393 | + | 0.454508i | ||||
\(387\) | 3.05074 | + | 0.401637i | 0.155078 | + | 0.0204164i | ||||
\(388\) | −12.0949 | + | 16.0954i | −0.614025 | + | 0.817122i | ||||
\(389\) | 1.87502 | + | 14.2422i | 0.0950675 | + | 0.722110i | 0.970898 | + | 0.239491i | \(0.0769807\pi\) |
−0.875831 | + | 0.482618i | \(0.839686\pi\) | |||||||
\(390\) | −4.10041 | + | 4.72340i | −0.207633 | + | 0.239178i | ||||
\(391\) | −0.257259 | − | 0.257259i | −0.0130101 | − | 0.0130101i | ||||
\(392\) | 18.8644 | + | 6.01106i | 0.952798 | + | 0.303604i | ||||
\(393\) | 3.34617 | − | 3.34617i | 0.168792 | − | 0.168792i | ||||
\(394\) | 1.45760 | + | 20.6452i | 0.0734328 | + | 1.04009i | ||||
\(395\) | 17.7331 | − | 2.33460i | 0.892247 | − | 0.117467i | ||||
\(396\) | 18.7935 | + | 4.83337i | 0.944406 | + | 0.242886i | ||||
\(397\) | −2.18158 | + | 16.5708i | −0.109490 | + | 0.831662i | 0.845281 | + | 0.534322i | \(0.179433\pi\) |
−0.954772 | + | 0.297341i | \(0.903900\pi\) | |||||||
\(398\) | −3.64841 | + | 0.744832i | −0.182878 | + | 0.0373351i | ||||
\(399\) | 12.2953 | + | 13.9684i | 0.615537 | + | 0.699293i | ||||
\(400\) | −29.0517 | + | 0.585240i | −1.45259 | + | 0.0292620i | ||||
\(401\) | −4.78277 | − | 2.76133i | −0.238840 | − | 0.137894i | 0.375803 | − | 0.926699i | \(-0.377367\pi\) |
−0.614644 | + | 0.788805i | \(0.710700\pi\) | |||||||
\(402\) | 6.63396 | − | 5.87719i | 0.330872 | − | 0.293127i | ||||
\(403\) | 3.02861 | + | 2.32393i | 0.150866 | + | 0.115763i | ||||
\(404\) | 30.7544 | + | 17.3454i | 1.53009 | + | 0.862968i | ||||
\(405\) | −0.839570 | + | 2.02690i | −0.0417186 | + | 0.100718i | ||||
\(406\) | −5.62125 | + | 5.69903i | −0.278978 | + | 0.282838i | ||||
\(407\) | 33.6804 | − | 33.6804i | 1.66948 | − | 1.66948i | ||||
\(408\) | −0.0842690 | + | 0.261144i | −0.00417194 | + | 0.0129286i | ||||
\(409\) | 0.525944 | − | 1.96285i | 0.0260062 | − | 0.0970566i | −0.951703 | − | 0.307020i | \(-0.900668\pi\) |
0.977709 | + | 0.209964i | \(0.0673346\pi\) | |||||||
\(410\) | −14.7702 | + | 5.09689i | −0.729447 | + | 0.251717i | ||||
\(411\) | 15.7538 | − | 12.0883i | 0.777076 | − | 0.596271i | ||||
\(412\) | −4.83332 | + | 12.0093i | −0.238121 | + | 0.591658i | ||||
\(413\) | 0.620243 | + | 9.20428i | 0.0305202 | + | 0.452913i | ||||
\(414\) | 8.67029 | + | 5.73036i | 0.426121 | + | 0.281632i | ||||
\(415\) | 22.5980 | − | 39.1409i | 1.10929 | − | 1.92135i | ||||
\(416\) | 2.69117 | − | 5.82225i | 0.131946 | − | 0.285459i | ||||
\(417\) | −2.50570 | − | 4.34000i | −0.122705 | − | 0.212531i | ||||
\(418\) | 44.0593 | − | 22.0041i | 2.15501 | − | 1.07626i | ||||
\(419\) | 11.5986 | + | 28.0016i | 0.566630 | + | 1.36797i | 0.904379 | + | 0.426730i | \(0.140335\pi\) |
−0.337749 | + | 0.941236i | \(0.609665\pi\) | |||||||
\(420\) | 15.6793 | + | 13.4236i | 0.765074 | + | 0.655003i | ||||
\(421\) | −18.6395 | − | 7.72074i | −0.908435 | − | 0.376286i | −0.120977 | − | 0.992655i | \(-0.538603\pi\) |
−0.787457 | + | 0.616369i | \(0.788603\pi\) | |||||||
\(422\) | 11.5263 | + | 10.0061i | 0.561091 | + | 0.487087i | ||||
\(423\) | −2.03835 | + | 7.60722i | −0.0991079 | + | 0.369876i | ||||
\(424\) | −31.0311 | − | 1.56353i | −1.50700 | − | 0.0759317i | ||||
\(425\) | 0.163765 | + | 0.611180i | 0.00794378 | + | 0.0296466i | ||||
\(426\) | −2.49886 | − | 3.69934i | −0.121070 | − | 0.179234i | ||||
\(427\) | 3.06973 | + | 0.604754i | 0.148555 | + | 0.0292661i | ||||
\(428\) | −34.0074 | + | 0.342500i | −1.64381 | + | 0.0165554i | ||||
\(429\) | 0.909087 | − | 6.90520i | 0.0438911 | − | 0.333386i | ||||
\(430\) | 6.48356 | − | 5.74395i | 0.312665 | − | 0.276998i | ||||
\(431\) | 0.870114 | − | 0.502361i | 0.0419119 | − | 0.0241979i | −0.478898 | − | 0.877871i | \(-0.658963\pi\) |
0.520810 | + | 0.853673i | \(0.325630\pi\) | |||||||
\(432\) | 2.34377 | − | 21.0747i | 0.112765 | − | 1.01396i | ||||
\(433\) | − | 4.39617i | − | 0.211267i | −0.994405 | − | 0.105633i | \(-0.966313\pi\) | ||
0.994405 | − | 0.105633i | \(-0.0336870\pi\) | |||||||
\(434\) | 7.59992 | − | 10.0466i | 0.364808 | − | 0.482251i | ||||
\(435\) | −7.70987 | + | 3.19353i | −0.369660 | + | 0.153118i | ||||
\(436\) | −31.7793 | + | 8.85921i | −1.52195 | + | 0.424279i | ||||
\(437\) | 26.1505 | − | 3.44278i | 1.25095 | − | 0.164690i | ||||
\(438\) | −9.76980 | − | 4.75692i | −0.466819 | − | 0.227295i | ||||
\(439\) | 1.14409 | + | 4.26980i | 0.0546044 | + | 0.203786i | 0.987839 | − | 0.155482i | \(-0.0496930\pi\) |
−0.933234 | + | 0.359268i | \(0.883026\pi\) | |||||||
\(440\) | 44.9556 | − | 31.0308i | 2.14318 | − | 1.47934i | ||||
\(441\) | 1.65231 | + | 12.2043i | 0.0786814 | + | 0.581157i | ||||
\(442\) | −0.137122 | − | 0.0265581i | −0.00652221 | − | 0.00126324i | ||||
\(443\) | 9.73295 | − | 7.46836i | 0.462426 | − | 0.354832i | −0.351122 | − | 0.936330i | \(-0.614200\pi\) |
0.813548 | + | 0.581498i | \(0.197533\pi\) | |||||||
\(444\) | −15.3817 | − | 11.5586i | −0.729985 | − | 0.548546i | ||||
\(445\) | 36.4135 | − | 47.4550i | 1.72617 | − | 2.24958i | ||||
\(446\) | 16.2900 | + | 32.6178i | 0.771354 | + | 1.54450i | ||||
\(447\) | 6.47628 | 0.306317 | ||||||||
\(448\) | −19.2734 | − | 8.74841i | −0.910584 | − | 0.413324i | ||||
\(449\) | 28.8313 | 1.36063 | 0.680317 | − | 0.732918i | \(-0.261842\pi\) | ||||
0.680317 | + | 0.732918i | \(0.261842\pi\) | |||||||
\(450\) | −8.07582 | − | 16.1704i | −0.380698 | − | 0.762278i | ||||
\(451\) | 10.5913 | − | 13.8029i | 0.498726 | − | 0.649952i | ||||
\(452\) | −16.7797 | − | 12.6091i | −0.789250 | − | 0.593081i | ||||
\(453\) | 5.89754 | − | 4.52534i | 0.277090 | − | 0.212619i | ||||
\(454\) | 10.7796 | + | 2.08783i | 0.505912 | + | 0.0979866i | ||||
\(455\) | −5.82075 | + | 8.74607i | −0.272881 | + | 0.410022i | ||||
\(456\) | −11.3010 | − | 16.3722i | −0.529217 | − | 0.766698i | ||||
\(457\) | 5.92809 | + | 22.1239i | 0.277304 | + | 1.03491i | 0.954281 | + | 0.298910i | \(0.0966229\pi\) |
−0.676977 | + | 0.736004i | \(0.736710\pi\) | |||||||
\(458\) | −28.2595 | − | 13.7596i | −1.32048 | − | 0.642943i | ||||
\(459\) | −0.457787 | + | 0.0602688i | −0.0213677 | + | 0.00281311i | ||||
\(460\) | 28.1813 | − | 7.85619i | 1.31396 | − | 0.366297i | ||||
\(461\) | 36.0765 | − | 14.9434i | 1.68025 | − | 0.695982i | 0.680911 | − | 0.732367i | \(-0.261584\pi\) |
0.999338 | + | 0.0363849i | \(0.0115842\pi\) | |||||||
\(462\) | −22.8066 | − | 2.84328i | −1.06106 | − | 0.132281i | ||||
\(463\) | − | 29.7735i | − | 1.38369i | −0.722045 | − | 0.691847i | \(-0.756797\pi\) | ||
0.722045 | − | 0.691847i | \(-0.243203\pi\) | |||||||
\(464\) | 6.68285 | − | 5.34518i | 0.310243 | − | 0.248144i | ||||
\(465\) | 11.3733 | − | 6.56640i | 0.527426 | − | 0.304510i | ||||
\(466\) | −7.68309 | + | 6.80664i | −0.355912 | + | 0.315312i | ||||
\(467\) | 3.51458 | − | 26.6959i | 0.162635 | − | 1.23534i | −0.694213 | − | 0.719769i | \(-0.744248\pi\) |
0.856849 | − | 0.515568i | \(-0.172419\pi\) | |||||||
\(468\) | 3.98960 | − | 0.0401807i | 0.184419 | − | 0.00185735i | ||||
\(469\) | 9.79472 | − | 11.2102i | 0.452278 | − | 0.517637i | ||||
\(470\) | 12.4095 | + | 18.3712i | 0.572409 | + | 0.847402i | ||||
\(471\) | 3.47978 | + | 12.9867i | 0.160340 | + | 0.598396i | ||||
\(472\) | 0.496282 | − | 9.84961i | 0.0228432 | − | 0.453365i | ||||
\(473\) | −2.49631 | + | 9.31637i | −0.114781 | + | 0.428367i | ||||
\(474\) | 6.07519 | + | 5.27392i | 0.279043 | + | 0.242239i | ||||
\(475\) | −42.3806 | − | 17.5546i | −1.94456 | − | 0.805461i | ||||
\(476\) | −0.0845285 | + | 0.453080i | −0.00387436 | + | 0.0207669i | ||||
\(477\) | −7.39607 | − | 17.8557i | −0.338643 | − | 0.817556i | ||||
\(478\) | −1.72080 | + | 0.859405i | −0.0787077 | + | 0.0393083i | ||||
\(479\) | −4.98812 | − | 8.63967i | −0.227913 | − | 0.394757i | 0.729276 | − | 0.684219i | \(-0.239857\pi\) |
−0.957189 | + | 0.289462i | \(0.906523\pi\) | |||||||
\(480\) | −14.9620 | − | 16.2184i | −0.682918 | − | 0.740264i | ||||
\(481\) | 4.89666 | − | 8.48127i | 0.223269 | − | 0.386712i | ||||
\(482\) | 12.6564 | + | 8.36487i | 0.576484 | + | 0.381009i | ||||
\(483\) | −11.0497 | − | 5.42394i | −0.502780 | − | 0.246798i | ||||
\(484\) | −14.4956 | + | 36.0173i | −0.658892 | + | 1.63715i | ||||
\(485\) | −27.9689 | + | 21.4613i | −1.27000 | + | 0.974506i | ||||
\(486\) | 20.3278 | − | 7.01471i | 0.922087 | − | 0.318194i | ||||
\(487\) | −4.83390 | + | 18.0404i | −0.219045 | + | 0.817486i | 0.765659 | + | 0.643247i | \(0.222413\pi\) |
−0.984703 | + | 0.174239i | \(0.944253\pi\) | |||||||
\(488\) | −3.18313 | − | 1.02717i | −0.144094 | − | 0.0464978i | ||||
\(489\) | −17.3380 | + | 17.3380i | −0.784050 | + | 0.784050i | ||||
\(490\) | 28.9925 | + | 19.0092i | 1.30975 | + | 0.858748i | ||||
\(491\) | −6.46512 | + | 15.6082i | −0.291767 | + | 0.704387i | −0.999999 | − | 0.00159257i | \(-0.999493\pi\) |
0.708232 | + | 0.705980i | \(0.249493\pi\) | |||||||
\(492\) | −6.12145 | − | 3.45249i | −0.275976 | − | 0.155650i | ||||
\(493\) | −0.147836 | − | 0.113439i | −0.00665820 | − | 0.00510902i | ||||
\(494\) | 7.57926 | − | 6.71465i | 0.341007 | − | 0.302106i | ||||
\(495\) | 29.4265 | + | 16.9894i | 1.32262 | + | 0.763616i | ||||
\(496\) | −9.32895 | + | 9.71254i | −0.418882 | + | 0.436106i | ||||
\(497\) | −4.95429 | − | 5.62842i | −0.222230 | − | 0.252469i | ||||
\(498\) | 19.9180 | − | 4.06630i | 0.892545 | − | 0.182215i | ||||
\(499\) | 5.17884 | − | 39.3372i | 0.231837 | − | 1.76097i | −0.339828 | − | 0.940488i | \(-0.610369\pi\) |
0.571665 | − | 0.820487i | \(-0.306298\pi\) | |||||||
\(500\) | −15.3603 | − | 3.95043i | −0.686935 | − | 0.176669i | ||||
\(501\) | −9.19494 | + | 1.21054i | −0.410800 | + | 0.0540828i | ||||
\(502\) | 1.84732 | + | 26.1651i | 0.0824497 | + | 1.16781i | ||||
\(503\) | −10.0651 | + | 10.0651i | −0.448783 | + | 0.448783i | −0.894950 | − | 0.446167i | \(-0.852789\pi\) |
0.446167 | + | 0.894950i | \(0.352789\pi\) | |||||||
\(504\) | −0.223038 | − | 13.1641i | −0.00993489 | − | 0.586375i | ||||
\(505\) | 43.7178 | + | 43.7178i | 1.94542 | + | 1.94542i | ||||
\(506\) | −21.3554 | + | 24.5999i | −0.949362 | + | 1.09360i | ||||
\(507\) | 1.70308 | + | 12.9362i | 0.0756365 | + | 0.574516i | ||||
\(508\) | 6.91120 | − | 9.19718i | 0.306635 | − | 0.408059i | ||||
\(509\) | −25.2636 | − | 3.32601i | −1.11979 | − | 0.147423i | −0.452174 | − | 0.891930i | \(-0.649351\pi\) |
−0.667615 | + | 0.744507i | \(0.732685\pi\) | |||||||
\(510\) | −0.264930 | + | 0.400851i | −0.0117313 | + | 0.0177500i | ||||
\(511\) | −17.2936 | − | 5.83502i | −0.765023 | − | 0.258126i | ||||
\(512\) | 19.3642 | + | 11.7059i | 0.855785 | + | 0.517331i | ||||
\(513\) | 16.7375 | − | 28.9903i | 0.738980 | − | 1.27995i | ||||
\(514\) | 8.56475 | + | 0.518064i | 0.377775 | + | 0.0228508i | ||||
\(515\) | −13.7994 | + | 17.9837i | −0.608072 | + | 0.792455i | ||||
\(516\) | 3.86767 | + | 0.469613i | 0.170265 | + | 0.0206736i | ||||
\(517\) | −22.8068 | − | 9.44688i | −1.00304 | − | 0.415473i | ||||
\(518\) | −28.0977 | − | 15.9659i | −1.23454 | − | 0.701499i | ||||
\(519\) | −9.61612 | − | 9.61612i | −0.422101 | − | 0.422101i | ||||
\(520\) | 7.27692 | − | 8.55506i | 0.319114 | − | 0.375164i | ||||
\(521\) | 4.52206 | + | 1.21168i | 0.198115 | + | 0.0530847i | 0.356512 | − | 0.934291i | \(-0.383966\pi\) |
−0.158397 | + | 0.987376i | \(0.550633\pi\) | |||||||
\(522\) | 4.78591 | + | 2.33027i | 0.209474 | + | 0.101993i | ||||
\(523\) | 10.1741 | + | 13.2591i | 0.444882 | + | 0.579781i | 0.960935 | − | 0.276776i | \(-0.0892659\pi\) |
−0.516053 | + | 0.856557i | \(0.672599\pi\) | |||||||
\(524\) | −5.94758 | + | 6.06860i | −0.259821 | + | 0.265108i | ||||
\(525\) | 11.9261 | + | 17.7780i | 0.520498 | + | 0.775894i | ||||
\(526\) | −17.5569 | + | 3.58428i | −0.765517 | + | 0.156282i | ||||
\(527\) | 0.253963 | + | 0.146625i | 0.0110628 | + | 0.00638710i | ||||
\(528\) | 23.8561 | + | 5.87990i | 1.03820 | + | 0.255890i | ||||
\(529\) | 4.80908 | − | 2.77652i | 0.209090 | − | 0.120718i | ||||
\(530\) | −51.6054 | − | 17.2284i | −2.24160 | − | 0.748352i | ||||
\(531\) | 5.66760 | − | 2.34760i | 0.245953 | − | 0.101877i | ||||
\(532\) | −22.3290 | − | 24.8580i | −0.968085 | − | 1.07773i | ||||
\(533\) | 1.36893 | − | 3.30488i | 0.0592948 | − | 0.143150i | ||||
\(534\) | 26.8378 | − | 1.89481i | 1.16139 | − | 0.0819965i | ||||
\(535\) | −57.5218 | − | 15.4129i | −2.48688 | − | 0.666359i | ||||
\(536\) | −11.8051 | + | 10.6725i | −0.509901 | + | 0.460982i | ||||
\(537\) | −8.53018 | + | 2.28566i | −0.368105 | + | 0.0986333i | ||||
\(538\) | 5.02252 | − | 25.9317i | 0.216536 | − | 1.11799i | ||||
\(539\) | −38.6030 | + | 0.141656i | −1.66275 | + | 0.00610154i | ||||
\(540\) | 13.8628 | − | 34.4449i | 0.596560 | − | 1.48227i | ||||
\(541\) | 24.1974 | + | 3.18565i | 1.04033 | + | 0.136962i | 0.631284 | − | 0.775552i | \(-0.282528\pi\) |
0.409046 | + | 0.912514i | \(0.365862\pi\) | |||||||
\(542\) | 0.364718 | − | 6.02960i | 0.0156660 | − | 0.258993i | ||||
\(543\) | 1.86334 | + | 3.22739i | 0.0799634 | + | 0.138501i | ||||
\(544\) | 0.146584 | − | 0.470411i | 0.00628472 | − | 0.0201687i | ||||
\(545\) | −57.7683 | −2.47452 | ||||||||
\(546\) | −4.68071 | + | 0.648973i | −0.200316 | + | 0.0277735i | ||||
\(547\) | 7.04456 | + | 17.0071i | 0.301204 | + | 0.727170i | 0.999931 | + | 0.0117813i | \(0.00375018\pi\) |
−0.698727 | + | 0.715388i | \(0.746250\pi\) | |||||||
\(548\) | −28.0675 | + | 21.9895i | −1.19898 | + | 0.939346i | ||||
\(549\) | −0.271566 | − | 2.06275i | −0.0115902 | − | 0.0880361i | ||||
\(550\) | 53.5563 | − | 18.4812i | 2.28365 | − | 0.788040i | ||||
\(551\) | 13.0492 | − | 3.49652i | 0.555914 | − | 0.148957i | ||||
\(552\) | 11.0505 | + | 7.14467i | 0.470342 | + | 0.304097i | ||||
\(553\) | 11.2491 | + | 7.48661i | 0.478361 | + | 0.318363i | ||||
\(554\) | −7.80390 | − | 11.5530i | −0.331556 | − | 0.490840i | ||||
\(555\) | −20.5096 | − | 26.7287i | −0.870585 | − | 1.13457i | ||||
\(556\) | 4.57750 | + | 7.74721i | 0.194129 | + | 0.328555i | ||||
\(557\) | −13.3932 | − | 10.2769i | −0.567486 | − | 0.435447i | 0.284752 | − | 0.958601i | \(-0.408089\pi\) |
−0.852238 | + | 0.523154i | \(0.824755\pi\) | |||||||
\(558\) | −7.94588 | − | 2.65272i | −0.336376 | − | 0.112298i | ||||
\(559\) | 1.98308i | 0.0838754i | ||||||||
\(560\) | −28.3952 | − | 23.8186i | −1.19992 | − | 1.00652i | ||||
\(561\) | − | 0.535021i | − | 0.0225886i | ||||||
\(562\) | −7.42325 | + | 22.2354i | −0.313131 | + | 0.937944i | ||||
\(563\) | −3.37882 | − | 2.59266i | −0.142400 | − | 0.109268i | 0.535105 | − | 0.844786i | \(-0.320272\pi\) |
−0.677505 | + | 0.735518i | \(0.736939\pi\) | |||||||
\(564\) | −2.48376 | + | 9.65751i | −0.104585 | + | 0.406655i | ||||
\(565\) | −22.3736 | − | 29.1579i | −0.941266 | − | 1.22668i | ||||
\(566\) | 34.0884 | − | 23.0263i | 1.43284 | − | 0.967867i | ||||
\(567\) | −1.48518 | + | 0.735802i | −0.0623718 | + | 0.0309008i | ||||
\(568\) | 4.55362 | + | 6.59702i | 0.191066 | + | 0.276805i | ||||
\(569\) | 7.56591 | − | 2.02728i | 0.317179 | − | 0.0849879i | −0.0967172 | − | 0.995312i | \(-0.530834\pi\) |
0.413896 | + | 0.910324i | \(0.364168\pi\) | |||||||
\(570\) | −11.3631 | − | 32.9290i | −0.475950 | − | 1.37925i | ||||
\(571\) | −1.07205 | − | 8.14307i | −0.0448641 | − | 0.340777i | −0.999126 | − | 0.0418042i | \(-0.986689\pi\) |
0.954262 | − | 0.298973i | \(-0.0966439\pi\) | |||||||
\(572\) | −1.50741 | + | 12.4148i | −0.0630279 | + | 0.519089i | ||||
\(573\) | −3.49347 | − | 8.43398i | −0.145942 | − | 0.352334i | ||||
\(574\) | −10.9366 | − | 4.44229i | −0.456483 | − | 0.185418i | ||||
\(575\) | 30.3431 | 1.26540 | ||||||||
\(576\) | −1.41477 | + | 14.0037i | −0.0589489 | + | 0.583489i | ||||
\(577\) | 7.80361 | + | 13.5162i | 0.324868 | + | 0.562689i | 0.981486 | − | 0.191535i | \(-0.0613466\pi\) |
−0.656617 | + | 0.754224i | \(0.728013\pi\) | |||||||
\(578\) | 23.9871 | + | 1.45093i | 0.997730 | + | 0.0603507i | ||||
\(579\) | −8.35812 | − | 1.10037i | −0.347352 | − | 0.0457297i | ||||
\(580\) | 13.7854 | − | 5.87344i | 0.572408 | − | 0.243881i | ||||
\(581\) | 32.3126 | − | 11.0348i | 1.34055 | − | 0.457801i | ||||
\(582\) | −15.5676 | − | 3.01519i | −0.645300 | − | 0.124983i | ||||
\(583\) | 58.5156 | − | 15.6792i | 2.42347 | − | 0.649367i | ||||
\(584\) | 17.6278 | + | 8.36444i | 0.729444 | + | 0.346123i | ||||
\(585\) | 6.74821 | + | 1.80818i | 0.279004 | + | 0.0747590i | ||||
\(586\) | −2.15302 | − | 30.4950i | −0.0889404 | − | 1.25974i | ||||
\(587\) | −2.13892 | + | 5.16381i | −0.0882827 | + | 0.213133i | −0.961854 | − | 0.273563i | \(-0.911798\pi\) |
0.873572 | + | 0.486696i | \(0.161798\pi\) | |||||||
\(588\) | 2.24761 | + | 15.4308i | 0.0926900 | + | 0.636356i | ||||
\(589\) | −19.6418 | + | 8.13589i | −0.809325 | + | 0.335234i | ||||
\(590\) | 5.46847 | − | 16.3801i | 0.225133 | − | 0.674359i | ||||
\(591\) | −14.1167 | + | 8.15030i | −0.580685 | + | 0.335259i | ||||
\(592\) | 27.8271 | + | 20.4754i | 1.14369 | + | 0.841534i | ||||
\(593\) | −27.8916 | − | 16.1032i | −1.14537 | − | 0.661280i | −0.197616 | − | 0.980279i | \(-0.563320\pi\) |
−0.947755 | + | 0.318999i | \(0.896653\pi\) | |||||||
\(594\) | 8.26986 | + | 40.5083i | 0.339316 | + | 1.66207i | ||||
\(595\) | −0.355618 | + | 0.724470i | −0.0145789 | + | 0.0297004i | ||||
\(596\) | −11.6282 | + | 0.117112i | −0.476311 | + | 0.00479709i | ||||
\(597\) | −1.78535 | − | 2.32671i | −0.0730694 | − | 0.0952259i | ||||
\(598\) | −2.93211 | + | 6.02199i | −0.119903 | + | 0.246257i | ||||
\(599\) | 11.8298 | + | 3.16979i | 0.483353 | + | 0.129514i | 0.492263 | − | 0.870446i | \(-0.336170\pi\) |
−0.00891060 | + | 0.999960i | \(0.502836\pi\) | |||||||
\(600\) | −10.4310 | − | 20.3704i | −0.425844 | − | 0.831617i | ||||
\(601\) | 8.82209 | + | 8.82209i | 0.359861 | + | 0.359861i | 0.863761 | − | 0.503901i | \(-0.168102\pi\) |
−0.503901 | + | 0.863761i | \(0.668102\pi\) | |||||||
\(602\) | 6.54382 | − | 0.0449586i | 0.266706 | − | 0.00183237i | ||||
\(603\) | −9.14565 | − | 3.78825i | −0.372440 | − | 0.154270i | ||||
\(604\) | −10.5073 | + | 8.23194i | −0.427534 | + | 0.334953i | ||||
\(605\) | −41.3857 | + | 53.9348i | −1.68257 | + | 2.19276i | ||||
\(606\) | −1.67904 | + | 27.7582i | −0.0682063 | + | 1.12760i | ||||
\(607\) | −19.5507 | + | 33.8629i | −0.793540 | + | 1.37445i | 0.130222 | + | 0.991485i | \(0.458431\pi\) |
−0.923762 | + | 0.382967i | \(0.874902\pi\) | |||||||
\(608\) | 20.5871 | + | 29.1921i | 0.834917 | + | 1.18390i | ||||
\(609\) | −5.97372 | − | 2.01559i | −0.242067 | − | 0.0816758i | ||||
\(610\) | −4.88604 | − | 3.22928i | −0.197830 | − | 0.130750i | ||||
\(611\) | −5.03216 | − | 0.662496i | −0.203579 | − | 0.0268017i | ||||
\(612\) | 0.303448 | − | 0.0430629i | 0.0122662 | − | 0.00174072i | ||||
\(613\) | −0.335065 | − | 2.54507i | −0.0135332 | − | 0.102794i | 0.983345 | − | 0.181748i | \(-0.0581755\pi\) |
−0.996878 | + | 0.0789534i | \(0.974842\pi\) | |||||||
\(614\) | −11.1371 | − | 9.66821i | −0.449457 | − | 0.390177i | ||||
\(615\) | −8.70174 | − | 8.70174i | −0.350888 | − | 0.350888i | ||||
\(616\) | 41.0009 | + | 4.69273i | 1.65197 | + | 0.189075i | ||||
\(617\) | −21.9180 | + | 21.9180i | −0.882384 | + | 0.882384i | −0.993776 | − | 0.111393i | \(-0.964469\pi\) |
0.111393 | + | 0.993776i | \(0.464469\pi\) | |||||||
\(618\) | −10.1705 | + | 0.718063i | −0.409118 | + | 0.0288847i | ||||
\(619\) | 32.7144 | − | 4.30693i | 1.31490 | − | 0.173110i | 0.559751 | − | 0.828661i | \(-0.310897\pi\) |
0.755151 | + | 0.655550i | \(0.227563\pi\) | |||||||
\(620\) | −20.3022 | + | 11.9957i | −0.815356 | + | 0.481759i | ||||
\(621\) | −2.89020 | + | 21.9532i | −0.115980 | + | 0.880953i | ||||
\(622\) | 6.03656 | + | 29.5689i | 0.242044 | + | 1.18560i | ||||
\(623\) | 44.3053 | − | 8.89741i | 1.77505 | − | 0.356467i | ||||
\(624\) | 5.05073 | − | 0.101746i | 0.202191 | − | 0.00407309i | ||||
\(625\) | 7.40485 | + | 4.27519i | 0.296194 | + | 0.171008i | ||||
\(626\) | 17.5461 | + | 19.8054i | 0.701281 | + | 0.791581i | ||||
\(627\) | 30.7725 | + | 23.6126i | 1.22894 | + | 0.942997i | ||||
\(628\) | −6.48282 | − | 23.2549i | −0.258693 | − | 0.927970i | ||||
\(629\) | 0.287894 | − | 0.695037i | 0.0114791 | − | 0.0277129i | ||||
\(630\) | 5.81368 | − | 22.3089i | 0.231623 | − | 0.888809i | ||||
\(631\) | −7.83811 | + | 7.83811i | −0.312030 | + | 0.312030i | −0.845696 | − | 0.533666i | \(-0.820814\pi\) |
0.533666 | + | 0.845696i | \(0.320814\pi\) | |||||||
\(632\) | −11.0034 | − | 9.35952i | −0.437694 | − | 0.372302i | ||||
\(633\) | −3.11141 | + | 11.6119i | −0.123667 | + | 0.461533i | ||||
\(634\) | −9.40588 | − | 27.2571i | −0.373555 | − | 1.08252i | ||||
\(635\) | 15.9818 | − | 12.2633i | 0.634220 | − | 0.486654i | ||||
\(636\) | −9.59187 | − | 22.5128i | −0.380342 | − | 0.892692i | ||||
\(637\) | −7.65904 | + | 2.08239i | −0.303462 | + | 0.0825071i | ||||
\(638\) | −9.19977 | + | 13.9197i | −0.364222 | + | 0.551085i | ||||
\(639\) | −2.49311 | + | 4.31819i | −0.0986259 | + | 0.170825i | ||||
\(640\) | 27.1577 | + | 28.8497i | 1.07350 | + | 1.14038i | ||||
\(641\) | −18.7979 | − | 32.5590i | −0.742474 | − | 1.28600i | −0.951366 | − | 0.308064i | \(-0.900319\pi\) |
0.208892 | − | 0.977939i | \(-0.433014\pi\) | |||||||
\(642\) | −11.9678 | − | 23.9632i | −0.472330 | − | 0.945754i | ||||
\(643\) | 2.08713 | + | 5.03877i | 0.0823083 | + | 0.198710i | 0.959676 | − | 0.281109i | \(-0.0907023\pi\) |
−0.877368 | + | 0.479819i | \(0.840702\pi\) | |||||||
\(644\) | 19.9380 | + | 9.53893i | 0.785667 | + | 0.375887i | ||||
\(645\) | 6.30284 | + | 2.61072i | 0.248174 | + | 0.102797i | ||||
\(646\) | 0.509916 | − | 0.587388i | 0.0200624 | − | 0.0231105i | ||||
\(647\) | −8.02629 | + | 29.9545i | −0.315546 | + | 1.17763i | 0.607934 | + | 0.793988i | \(0.291999\pi\) |
−0.923480 | + | 0.383646i | \(0.874668\pi\) | |||||||
\(648\) | 1.66907 | − | 0.594839i | 0.0655672 | − | 0.0233675i | ||||
\(649\) | 4.97676 | + | 18.5735i | 0.195355 | + | 0.729074i | ||||
\(650\) | 9.65284 | − | 6.52037i | 0.378616 | − | 0.255750i | ||||
\(651\) | 9.73452 | + | 1.91776i | 0.381526 | + | 0.0751628i | ||||
\(652\) | 30.8170 | − | 31.4441i | 1.20689 | − | 1.23144i | ||||
\(653\) | 0.924735 | − | 7.02406i | 0.0361877 | − | 0.274873i | −0.963779 | − | 0.266702i | \(-0.914066\pi\) |
0.999967 | − | 0.00817028i | \(-0.00260071\pi\) | |||||||
\(654\) | −17.2304 | − | 19.4491i | −0.673762 | − | 0.760519i | ||||
\(655\) | −12.8854 | + | 7.43938i | −0.503474 | + | 0.290681i | ||||
\(656\) | 11.0536 | + | 6.08829i | 0.431569 | + | 0.237708i | ||||
\(657\) | 12.1369i | 0.473505i | ||||||||
\(658\) | −2.07204 | + | 16.6203i | −0.0807765 | + | 0.647926i | ||||
\(659\) | −15.7593 | + | 6.52772i | −0.613895 | + | 0.254284i | −0.667893 | − | 0.744257i | \(-0.732804\pi\) |
0.0539978 | + | 0.998541i | \(0.482804\pi\) | |||||||
\(660\) | 37.4736 | + | 21.1351i | 1.45866 | + | 0.822682i | ||||
\(661\) | 23.4377 | − | 3.08563i | 0.911621 | − | 0.120017i | 0.339896 | − | 0.940463i | \(-0.389608\pi\) |
0.571724 | + | 0.820446i | \(0.306275\pi\) | |||||||
\(662\) | −2.21510 | + | 4.54940i | −0.0860925 | + | 0.176817i | ||||
\(663\) | −0.0284711 | − | 0.106256i | −0.00110573 | − | 0.00412662i | ||||
\(664\) | −35.6894 | + | 7.66126i | −1.38502 | + | 0.297315i | ||||
\(665\) | −25.9742 | − | 52.4277i | −1.00724 | − | 2.03306i | ||||
\(666\) | −4.08635 | + | 21.0982i | −0.158343 | + | 0.817537i | ||||
\(667\) | −7.08949 | + | 5.43996i | −0.274506 | + | 0.210636i | ||||
\(668\) | 16.4877 | − | 2.33981i | 0.637929 | − | 0.0905298i | ||||
\(669\) | −17.4808 | + | 22.7814i | −0.675846 | + | 0.880779i | ||||
\(670\) | −24.9301 | + | 12.4506i | −0.963134 | + | 0.481010i | ||||
\(671\) | 6.52146 | 0.251758 | ||||||||
\(672\) | −0.450249 | − | 16.6642i | −0.0173687 | − | 0.642837i | ||||
\(673\) | 31.0641 | 1.19743 | 0.598717 | − | 0.800960i | \(-0.295677\pi\) | ||||
0.598717 | + | 0.800960i | \(0.295677\pi\) | |||||||
\(674\) | −12.8126 | + | 6.39888i | −0.493522 | + | 0.246476i | ||||
\(675\) | 23.4432 | − | 30.5518i | 0.902331 | − | 1.17594i | ||||
\(676\) | −3.29183 | − | 23.1963i | −0.126609 | − | 0.892164i | ||||
\(677\) | 1.75648 | − | 1.34779i | 0.0675070 | − | 0.0517999i | −0.574457 | − | 0.818535i | \(-0.694787\pi\) |
0.641964 | + | 0.766735i | \(0.278120\pi\) | |||||||
\(678\) | 3.14337 | − | 16.2295i | 0.120720 | − | 0.623289i | ||||
\(679\) | −26.5800 | − | 1.69317i | −1.02005 | − | 0.0649780i | ||||
\(680\) | 0.468437 | − | 0.724523i | 0.0179637 | − | 0.0277842i | ||||
\(681\) | 2.23821 | + | 8.35312i | 0.0857685 | + | 0.320092i | ||||
\(682\) | 11.4947 | − | 23.6079i | 0.440155 | − | 0.903992i | ||||
\(683\) | −1.21869 | + | 0.160443i | −0.0466318 | + | 0.00613919i | −0.153806 | − | 0.988101i | \(-0.549153\pi\) |
0.107174 | + | 0.994240i | \(0.465820\pi\) | |||||||
\(684\) | −10.9155 | + | 19.3538i | −0.417366 | + | 0.740012i | ||||
\(685\) | −57.6815 | + | 23.8925i | −2.20390 | + | 0.912884i | ||||
\(686\) | 7.04515 | + | 25.2263i | 0.268985 | + | 0.963144i | ||||
\(687\) | − | 24.7552i | − | 0.944471i | ||||||
\(688\) | −6.95294 | − | 0.773256i | −0.265078 | − | 0.0294801i | ||||
\(689\) | 10.7869 | − | 6.22781i | 0.410947 | − | 0.237261i | ||||
\(690\) | 15.2796 | + | 17.2471i | 0.581685 | + | 0.656585i | ||||
\(691\) | 2.98330 | − | 22.6604i | 0.113490 | − | 0.862044i | −0.836106 | − | 0.548568i | \(-0.815173\pi\) |
0.949596 | − | 0.313476i | \(-0.101494\pi\) | |||||||
\(692\) | 17.4397 | + | 17.0920i | 0.662959 | + | 0.649739i | ||||
\(693\) | 8.29608 | + | 24.2929i | 0.315142 | + | 0.922812i | ||||
\(694\) | 15.4225 | − | 10.4177i | 0.585428 | − | 0.395449i | ||||
\(695\) | 4.07811 | + | 15.2197i | 0.154692 | + | 0.577317i | ||||
\(696\) | 6.08917 | + | 2.88933i | 0.230809 | + | 0.109520i | ||||
\(697\) | 0.0711212 | − | 0.265428i | 0.00269391 | − | 0.0100538i | ||||
\(698\) | 3.20928 | − | 3.69687i | 0.121473 | − | 0.139929i | ||||
\(699\) | −7.46894 | − | 3.09373i | −0.282501 | − | 0.117016i | ||||
\(700\) | −21.7349 | − | 31.7049i | −0.821503 | − | 1.19833i | ||||
\(701\) | 1.27343 | + | 3.07433i | 0.0480967 | + | 0.116116i | 0.946102 | − | 0.323869i | \(-0.104984\pi\) |
−0.898005 | + | 0.439985i | \(0.854984\pi\) | |||||||
\(702\) | 3.79804 | + | 7.60489i | 0.143348 | + | 0.287028i | ||||
\(703\) | 27.2702 | + | 47.2334i | 1.02852 | + | 1.78144i | ||||
\(704\) | −42.9402 | − | 10.1260i | −1.61837 | − | 0.381639i | ||||
\(705\) | −8.73045 | + | 15.1216i | −0.328808 | + | 0.569511i | ||||
\(706\) | 7.86533 | − | 11.9006i | 0.296015 | − | 0.447884i | ||||
\(707\) | 3.14042 | + | 46.6031i | 0.118107 | + | 1.75269i | ||||
\(708\) | 7.14582 | − | 3.04457i | 0.268557 | − | 0.114422i | ||||
\(709\) | 18.5673 | − | 14.2472i | 0.697311 | − | 0.535065i | −0.198169 | − | 0.980168i | \(-0.563499\pi\) |
0.895480 | + | 0.445103i | \(0.146833\pi\) | |||||||
\(710\) | 4.57867 | + | 13.2684i | 0.171834 | + | 0.497956i | ||||
\(711\) | 2.32566 | − | 8.67950i | 0.0872192 | − | 0.325507i | ||||
\(712\) | −48.1533 | + | 3.88747i | −1.80462 | + | 0.145689i | ||||
\(713\) | 9.94395 | − | 9.94395i | 0.372404 | − | 0.372404i | ||||
\(714\) | −0.349979 | + | 0.0963586i | −0.0130976 | + | 0.00360613i | ||||
\(715\) | −8.38014 | + | 20.2314i | −0.313399 | + | 0.756613i | ||||
\(716\) | 15.2747 | − | 4.25817i | 0.570843 | − | 0.159135i | ||||
\(717\) | −1.20187 | − | 0.922227i | −0.0448846 | − | 0.0344412i | ||||
\(718\) | 18.0215 | + | 20.3420i | 0.672557 | + | 0.759158i | ||||
\(719\) | −22.1875 | − | 12.8100i | −0.827455 | − | 0.477731i | 0.0255258 | − | 0.999674i | \(-0.491874\pi\) |
−0.852980 | + | 0.521943i | \(0.825207\pi\) | |||||||
\(720\) | −8.97102 | + | 22.9551i | −0.334330 | + | 0.855484i | ||||
\(721\) | −16.7900 | + | 3.37178i | −0.625294 | + | 0.125572i | ||||
\(722\) | 5.90518 | + | 28.9254i | 0.219768 | + | 1.07649i | ||||
\(723\) | −1.55960 | + | 11.8463i | −0.0580022 | + | 0.440570i | ||||
\(724\) | −3.40400 | − | 5.76112i | −0.126509 | − | 0.214110i | ||||
\(725\) | 15.4084 | − | 2.02855i | 0.572253 | − | 0.0753386i | ||||
\(726\) | −30.5024 | + | 2.15354i | −1.13205 | + | 0.0799255i | ||||
\(727\) | −11.5255 | + | 11.5255i | −0.427458 | + | 0.427458i | −0.887762 | − | 0.460304i | \(-0.847741\pi\) |
0.460304 | + | 0.887762i | \(0.347741\pi\) | |||||||
\(728\) | 8.39253 | − | 1.24988i | 0.311048 | − | 0.0463236i | ||||
\(729\) | 13.3049 | + | 13.3049i | 0.492774 | + | 0.492774i | ||||
\(730\) | 25.8000 | + | 22.3972i | 0.954902 | + | 0.828957i | ||||
\(731\) | 0.0198839 | + | 0.151033i | 0.000735431 | + | 0.00558615i | ||||
\(732\) | −0.370134 | − | 2.60819i | −0.0136805 | − | 0.0964016i | ||||
\(733\) | 46.3332 | + | 6.09989i | 1.71136 | + | 0.225304i | 0.921607 | − | 0.388124i | \(-0.126877\pi\) |
0.789750 | + | 0.613429i | \(0.210210\pi\) | |||||||
\(734\) | 18.2886 | + | 12.0873i | 0.675043 | + | 0.446149i | ||||
\(735\) | −3.46465 | + | 27.0842i | −0.127795 | + | 0.999017i | ||||
\(736\) | −19.9706 | − | 12.6285i | −0.736125 | − | 0.465493i | ||||
\(737\) | 15.5144 | − | 26.8718i | 0.571481 | − | 0.989834i | ||||
\(738\) | −0.473944 | + | 7.83535i | −0.0174461 | + | 0.288423i | ||||
\(739\) | −14.8896 | + | 19.4045i | −0.547723 | + | 0.713807i | −0.982402 | − | 0.186779i | \(-0.940195\pi\) |
0.434679 | + | 0.900586i | \(0.356862\pi\) | |||||||
\(740\) | 37.3086 | + | 47.6207i | 1.37149 | + | 1.75057i | ||||
\(741\) | 7.36799 | + | 3.05192i | 0.270670 | + | 0.112115i | ||||
\(742\) | −20.7952 | − | 35.4536i | −0.763417 | − | 1.30154i | ||||
\(743\) | −0.0182557 | − | 0.0182557i | −0.000669735 | − | 0.000669735i | 0.706772 | − | 0.707442i | \(-0.250151\pi\) |
−0.707442 | + | 0.706772i | \(0.750151\pi\) | |||||||
\(744\) | −10.0941 | − | 3.25729i | −0.370069 | − | 0.119418i | ||||
\(745\) | −19.6686 | − | 5.27018i | −0.720600 | − | 0.193084i | ||||
\(746\) | 0.980151 | − | 2.01304i | 0.0358859 | − | 0.0737027i | ||||
\(747\) | −13.8224 | − | 18.0137i | −0.505734 | − | 0.659086i | ||||
\(748\) | 0.00967490 | + | 0.960635i | 0.000353749 | + | 0.0351243i | ||||
\(749\) | −25.0636 | − | 37.3618i | −0.915804 | − | 1.36517i | ||||
\(750\) | −2.49863 | − | 12.2390i | −0.0912369 | − | 0.446906i | ||||
\(751\) | −23.4625 | − | 13.5461i | −0.856159 | − | 0.494304i | 0.00656521 | − | 0.999978i | \(-0.497910\pi\) |
−0.862724 | + | 0.505675i | \(0.831244\pi\) | |||||||
\(752\) | 4.28497 | − | 17.3851i | 0.156257 | − | 0.633969i | ||||
\(753\) | −17.8911 | + | 10.3294i | −0.651989 | + | 0.376426i | ||||
\(754\) | −1.08635 | + | 3.25402i | −0.0395625 | + | 0.118504i | ||||
\(755\) | −21.5935 | + | 8.94432i | −0.785868 | + | 0.325517i | ||||
\(756\) | 25.0087 | − | 12.7053i | 0.909559 | − | 0.462087i | ||||
\(757\) | 8.50866 | − | 20.5417i | 0.309253 | − | 0.746602i | −0.690477 | − | 0.723354i | \(-0.742599\pi\) |
0.999730 | − | 0.0232475i | \(-0.00740058\pi\) | |||||||
\(758\) | −1.58879 | − | 22.5033i | −0.0577074 | − | 0.817358i | ||||
\(759\) | −24.7827 | − | 6.64051i | −0.899556 | − | 0.241035i | ||||
\(760\) | 20.9981 | + | 58.9190i | 0.761682 | + | 2.13722i | ||||
\(761\) | −8.68197 | + | 2.32633i | −0.314721 | + | 0.0843293i | −0.412722 | − | 0.910857i | \(-0.635422\pi\) |
0.0980008 | + | 0.995186i | \(0.468755\pi\) | |||||||
\(762\) | 8.89559 | + | 1.72292i | 0.322253 | + | 0.0624149i | ||||
\(763\) | −32.8654 | − | 28.7156i | −1.18981 | − | 1.03958i | ||||
\(764\) | 6.42507 | + | 15.0801i | 0.232451 | + | 0.545580i | ||||
\(765\) | 0.532079 | + | 0.0700495i | 0.0192374 | + | 0.00253265i | ||||
\(766\) | −22.8866 | − | 1.38436i | −0.826927 | − | 0.0500191i | ||||
\(767\) | 1.97678 | + | 3.42388i | 0.0713772 | + | 0.123629i | ||||
\(768\) | −1.61268 | + | 17.7482i | −0.0581926 | + | 0.640433i | ||||
\(769\) | −13.2334 | −0.477209 | −0.238605 | − | 0.971117i | \(-0.576690\pi\) | ||||
−0.238605 | + | 0.971117i | \(0.576690\pi\) | |||||||
\(770\) | 66.9502 | + | 27.1943i | 2.41272 | + | 0.980016i | ||||
\(771\) | 2.58614 | + | 6.24350i | 0.0931376 | + | 0.224854i | ||||
\(772\) | 15.0270 | + | 1.82458i | 0.540834 | + | 0.0656681i | ||||
\(773\) | 3.30833 | + | 25.1293i | 0.118993 | + | 0.903838i | 0.941954 | + | 0.335741i | \(0.108987\pi\) |
−0.822962 | + | 0.568097i | \(0.807680\pi\) | |||||||
\(774\) | −1.41952 | − | 4.11359i | −0.0510235 | − | 0.147860i | ||||
\(775\) | −23.6243 | + | 6.33010i | −0.848609 | + | 0.227384i | ||||
\(776\) | 28.0064 | + | 5.13229i | 1.00537 | + | 0.184238i | ||||
\(777\) | 1.61809 | − | 25.4014i | 0.0580488 | − | 0.911269i | ||||
\(778\) | 16.8345 | − | 11.3715i | 0.603548 | − | 0.407689i | ||||
\(779\) | 12.1276 | + | 15.8050i | 0.434518 | + | 0.566275i | ||||
\(780\) | 8.56699 | + | 2.20329i | 0.306747 | + | 0.0788904i | ||||
\(781\) | −12.3995 | − | 9.51447i | −0.443689 | − | 0.340455i | ||||
\(782\) | −0.162931 | + | 0.488039i | −0.00582639 | + | 0.0174522i | ||||
\(783\) | 11.3412i | 0.405301i | ||||||||
\(784\) | −4.31465 | − | 27.6656i | −0.154095 | − | 0.988056i | ||||
\(785\) | − | 42.2726i | − | 1.50877i | ||||||
\(786\) | −6.34794 | − | 2.11925i | −0.226423 | − | 0.0755910i | ||||
\(787\) | 11.3060 | + | 8.67540i | 0.403015 | + | 0.309245i | 0.790305 | − | 0.612713i | \(-0.209922\pi\) |
−0.387290 | + | 0.921958i | \(0.626589\pi\) | |||||||
\(788\) | 25.1994 | − | 14.8892i | 0.897690 | − | 0.530407i | ||||
\(789\) | −8.59145 | − | 11.1966i | −0.305864 | − | 0.398609i | ||||
\(790\) | −14.1587 | − | 20.9608i | −0.503745 | − | 0.745751i | ||||
\(791\) | 1.76515 | − | 27.7100i | 0.0627616 | − | 0.985252i | ||||
\(792\) | −5.75981 | − | 26.8316i | −0.204666 | − | 0.953420i | ||||
\(793\) | 1.29517 | − | 0.347039i | 0.0459927 | − | 0.0123237i | ||||
\(794\) | 22.3439 | − | 7.71041i | 0.792954 | − | 0.273632i | ||||
\(795\) | −5.59298 | − | 42.4829i | −0.198363 | − | 1.50671i | ||||
\(796\) | 3.24769 | + | 4.14535i | 0.115111 | + | 0.146928i | ||||
\(797\) | −9.59121 | − | 23.1552i | −0.339738 | − | 0.820200i | −0.997741 | − | 0.0671846i | \(-0.978598\pi\) |
0.658002 | − | 0.753016i | \(-0.271402\pi\) | |||||||
\(798\) | 9.90378 | − | 24.3823i | 0.350590 | − | 0.863124i | ||||
\(799\) | −0.389896 | −0.0137935 | ||||||||
\(800\) | 19.0974 | + | 36.3866i | 0.675194 | + | 1.28646i | ||||
\(801\) | −15.0252 | − | 26.0245i | −0.530890 | − | 0.919529i | ||||
\(802\) | −0.471563 | + | 7.79598i | −0.0166515 | + | 0.275286i | ||||
\(803\) | −37.7175 | − | 4.96560i | −1.33102 | − | 0.175232i | ||||
\(804\) | −11.6276 | − | 4.67970i | −0.410075 | − | 0.165040i | ||||
\(805\) | 29.1444 | + | 25.4645i | 1.02720 | + | 0.897506i | ||||
\(806\) | 1.02656 | − | 5.30023i | 0.0361592 | − | 0.186693i | ||||
\(807\) | 20.0945 | − | 5.38429i | 0.707358 | − | 0.189536i | ||||
\(808\) | 2.51277 | − | 49.8706i | 0.0883991 | − | 1.75444i | ||||
\(809\) | 27.8903 | + | 7.47319i | 0.980572 | + | 0.262743i | 0.713285 | − | 0.700874i | \(-0.247206\pi\) |
0.267287 | + | 0.963617i | \(0.413873\pi\) | |||||||
\(810\) | 3.09494 | − | 0.218510i | 0.108745 | − | 0.00767766i | ||||
\(811\) | −15.1148 | + | 36.4905i | −0.530754 | + | 1.28135i | 0.400270 | + | 0.916397i | \(0.368916\pi\) |
−0.931025 | + | 0.364957i | \(0.881084\pi\) | |||||||
\(812\) | 10.7623 | + | 3.51099i | 0.377684 | + | 0.123212i | ||||
\(813\) | 4.39543 | − | 1.82065i | 0.154155 | − | 0.0638529i | ||||
\(814\) | −63.8943 | − | 21.3310i | −2.23949 | − | 0.747650i | ||||
\(815\) | 66.7648 | − | 38.5467i | 2.33867 | − | 1.35023i | ||||
\(816\) | 0.383647 | − | 0.0583915i | 0.0134303 | − | 0.00204411i | ||||
\(817\) | −9.56444 | − | 5.52203i | −0.334618 | − | 0.193192i | ||||
\(818\) | −2.81573 | + | 0.574838i | −0.0984497 | + | 0.0200987i | ||||
\(819\) | 2.94035 | + | 4.38312i | 0.102744 | + | 0.153159i | ||||
\(820\) | 15.7814 | + | 15.4667i | 0.551111 | + | 0.540121i | ||||
\(821\) | −20.0907 | − | 26.1827i | −0.701169 | − | 0.913781i | 0.297999 | − | 0.954566i | \(-0.403681\pi\) |
−0.999168 | + | 0.0407852i | \(0.987014\pi\) | |||||||
\(822\) | −25.2485 | − | 12.2935i | −0.880642 | − | 0.428785i | ||||
\(823\) | −8.84080 | − | 2.36889i | −0.308171 | − | 0.0825741i | 0.101419 | − | 0.994844i | \(-0.467662\pi\) |
−0.409590 | + | 0.912270i | \(0.634328\pi\) | |||||||
\(824\) | 18.2483 | − | 1.47321i | 0.635710 | − | 0.0513215i | ||||
\(825\) | 31.5523 | + | 31.5523i | 1.09851 | + | 1.09851i | ||||
\(826\) | 11.2534 | − | 6.60064i | 0.391555 | − | 0.229666i | ||||
\(827\) | −15.4663 | − | 6.40634i | −0.537815 | − | 0.222770i | 0.0972072 | − | 0.995264i | \(-0.469009\pi\) |
−0.635022 | + | 0.772494i | \(0.719009\pi\) | |||||||
\(828\) | 1.77158 | − | 14.5905i | 0.0615668 | − | 0.507056i | ||||
\(829\) | −21.2015 | + | 27.6304i | −0.736360 | + | 0.959643i | −0.999988 | − | 0.00498152i | \(-0.998414\pi\) |
0.263628 | + | 0.964625i | \(0.415081\pi\) | |||||||
\(830\) | −63.8002 | − | 3.85914i | −2.21454 | − | 0.133953i | ||||
\(831\) | 5.49026 | − | 9.50940i | 0.190455 | − | 0.329878i | ||||
\(832\) | −9.06681 | + | 0.274019i | −0.314335 | + | 0.00949990i | ||||
\(833\) | −0.562439 | + | 0.235391i | −0.0194873 | + | 0.00815583i | ||||
\(834\) | −3.90771 | + | 5.91254i | −0.135313 | + | 0.204735i | ||||
\(835\) | 28.9103 | + | 3.80611i | 1.00048 | + | 0.131716i | ||||
\(836\) | −55.6794 | − | 41.8402i | −1.92571 | − | 1.44707i | ||||
\(837\) | −2.32960 | − | 17.6951i | −0.0805228 | − | 0.611632i | ||||
\(838\) | 28.0989 | − | 32.3680i | 0.970660 | − | 1.11813i | ||||
\(839\) | −12.1971 | − | 12.1971i | −0.421090 | − | 0.421090i | 0.464489 | − | 0.885579i | \(-0.346238\pi\) |
−0.885579 | + | 0.464489i | \(0.846238\pi\) | |||||||
\(840\) | 7.07625 | − | 28.3195i | 0.244154 | − | 0.977116i | ||||
\(841\) | 17.2697 | − | 17.2697i | 0.595507 | − | 0.595507i | ||||
\(842\) | 2.00943 | + | 28.4613i | 0.0692496 | + | 0.980841i | ||||
\(843\) | −18.3048 | + | 2.40987i | −0.630450 | + | 0.0830003i | ||||
\(844\) | 5.37659 | − | 20.9056i | 0.185070 | − | 0.719601i | ||||
\(845\) | 5.35475 | − | 40.6733i | 0.184209 | − | 1.39921i | ||||
\(846\) | 10.9127 | − | 2.22784i | 0.375185 | − | 0.0765949i | ||||
\(847\) | −50.3551 | + | 10.1123i | −1.73022 | + | 0.347464i | ||||
\(848\) | 17.6294 | + | 40.2486i | 0.605397 | + | 1.38214i | ||||
\(849\) | 28.0586 | + | 16.1996i | 0.962967 | + | 0.555969i | ||||
\(850\) | 0.669789 | − | 0.593383i | 0.0229736 | − | 0.0203529i | ||||
\(851\) | −28.6216 | − | 21.9621i | −0.981136 | − | 0.752852i | ||||
\(852\) | −3.10147 | + | 5.49906i | −0.106255 | + | 0.188395i | ||||
\(853\) | −3.44059 | + | 8.30631i | −0.117803 | + | 0.284403i | −0.971772 | − | 0.235922i | \(-0.924189\pi\) |
0.853969 | + | 0.520325i | \(0.174189\pi\) | |||||||
\(854\) | −1.17453 | − | 4.26596i | −0.0401916 | − | 0.145978i | ||||
\(855\) | −27.5118 | + | 27.5118i | −0.940883 | + | 0.940883i | ||||
\(856\) | 21.9216 | + | 42.8099i | 0.749264 | + | 1.46321i | ||||
\(857\) | 8.05783 | − | 30.0722i | 0.275250 | − | 1.02725i | −0.680423 | − | 0.732819i | \(-0.738204\pi\) |
0.955673 | − | 0.294429i | \(-0.0951293\pi\) | |||||||
\(858\) | −9.31092 | + | 3.21301i | −0.317869 | + | 0.109690i | ||||
\(859\) | 1.34692 | − | 1.03353i | 0.0459563 | − | 0.0352635i | −0.585528 | − | 0.810652i | \(-0.699113\pi\) |
0.631484 | + | 0.775389i | \(0.282446\pi\) | |||||||
\(860\) | −11.3640 | − | 4.57360i | −0.387510 | − | 0.155959i | ||||
\(861\) | −0.625079 | − | 9.27604i | −0.0213026 | − | 0.316127i | ||||
\(862\) | −1.18539 | − | 0.783445i | −0.0403745 | − | 0.0266843i | ||||
\(863\) | −18.0875 | + | 31.3285i | −0.615707 | + | 1.06644i | 0.374554 | + | 0.927205i | \(0.377796\pi\) |
−0.990260 | + | 0.139230i | \(0.955537\pi\) | |||||||
\(864\) | −28.1447 | + | 10.3511i | −0.957502 | + | 0.352151i | ||||
\(865\) | 21.3790 | + | 37.0296i | 0.726909 | + | 1.25904i | ||||
\(866\) | −5.56206 | + | 2.77781i | −0.189006 | + | 0.0943938i | ||||
\(867\) | 7.24294 | + | 17.4860i | 0.245983 | + | 0.593855i | ||||
\(868\) | −17.5131 | − | 3.26732i | −0.594434 | − | 0.110900i | ||||
\(869\) | 26.0215 | + | 10.7785i | 0.882720 | + | 0.365634i | ||||
\(870\) | 8.91210 | + | 7.73666i | 0.302149 | + | 0.262297i | ||||
\(871\) | 1.65120 | − | 6.16235i | 0.0559487 | − | 0.208803i | ||||
\(872\) | 31.2891 | + | 34.6095i | 1.05958 | + | 1.17202i | ||||
\(873\) | 4.58395 | + | 17.1075i | 0.155143 | + | 0.579003i | ||||
\(874\) | −20.8795 | − | 30.9103i | −0.706260 | − | 1.04556i | ||||
\(875\) | −6.78058 | − | 19.8552i | −0.229226 | − | 0.671228i | ||||
\(876\) | 0.154762 | + | 15.3665i | 0.00522892 | + | 0.519188i | ||||
\(877\) | −3.92175 | + | 29.7886i | −0.132428 | + | 1.00589i | 0.788191 | + | 0.615430i | \(0.211018\pi\) |
−0.920620 | + | 0.390461i | \(0.872316\pi\) | |||||||
\(878\) | 4.67925 | − | 4.14546i | 0.157917 | − | 0.139903i | ||||
\(879\) | 20.8518 | − | 12.0388i | 0.703315 | − | 0.406059i | ||||
\(880\) | −67.6664 | − | 37.2706i | −2.28103 | − | 1.25639i | ||||
\(881\) | − | 56.6185i | − | 1.90752i | −0.300563 | − | 0.953762i | \(-0.597174\pi\) | ||
0.300563 | − | 0.953762i | \(-0.402826\pi\) | |||||||
\(882\) | 14.3969 | − | 9.80203i | 0.484768 | − | 0.330052i | ||||
\(883\) | 13.8447 | − | 5.73468i | 0.465912 | − | 0.192987i | −0.137362 | − | 0.990521i | \(-0.543862\pi\) |
0.603274 | + | 0.797534i | \(0.293862\pi\) | |||||||
\(884\) | 0.0530416 | + | 0.190268i | 0.00178398 | + | 0.00639941i | ||||
\(885\) | 13.4846 | − | 1.77527i | 0.453278 | − | 0.0596752i | ||||
\(886\) | −15.5989 | − | 7.59514i | −0.524057 | − | 0.255164i | ||||
\(887\) | 12.4295 | + | 46.3876i | 0.417342 | + | 1.55754i | 0.780097 | + | 0.625658i | \(0.215170\pi\) |
−0.362755 | + | 0.931885i | \(0.618164\pi\) | |||||||
\(888\) | −4.90471 | + | 26.7645i | −0.164591 | + | 0.898159i | ||||
\(889\) | 15.1882 | + | 0.967504i | 0.509396 | + | 0.0324490i | ||||
\(890\) | −83.0489 | − | 16.0851i | −2.78380 | − | 0.539175i | ||||
\(891\) | −2.74085 | + | 2.10313i | −0.0918221 | + | 0.0704575i | ||||
\(892\) | 30.9750 | − | 41.2203i | 1.03712 | − | 1.38016i | ||||
\(893\) | 17.2077 | − | 22.4255i | 0.575832 | − | 0.750439i | ||||
\(894\) | −4.09216 | − | 8.19381i | −0.136862 | − | 0.274042i | ||||
\(895\) | 27.7663 | 0.928125 | ||||||||
\(896\) | 1.10977 | + | 29.9127i | 0.0370748 | + | 0.999312i | ||||
\(897\) | −5.27524 | −0.176135 | ||||||||
\(898\) | −18.2176 | − | 36.4775i | −0.607930 | − | 1.21727i | ||||
\(899\) | 4.38480 | − | 5.71438i | 0.146241 | − | 0.190585i | ||||
\(900\) | −15.3559 | + | 20.4351i | −0.511865 | + | 0.681171i | ||||
\(901\) | 0.759092 | − | 0.582472i | 0.0252890 | − | 0.0194050i | ||||
\(902\) | −24.1558 | − | 4.67856i | −0.804300 | − | 0.155779i | ||||
\(903\) | 2.28804 | + | 4.61831i | 0.0761414 | + | 0.153688i | ||||
\(904\) | −5.35047 | + | 29.1970i | −0.177954 | + | 0.971079i | ||||
\(905\) | −3.03264 | − | 11.3180i | −0.100808 | − | 0.376222i | ||||
\(906\) | −9.45195 | − | 4.60216i | −0.314020 | − | 0.152897i | ||||
\(907\) | 36.3808 | − | 4.78962i | 1.20800 | − | 0.159037i | 0.500495 | − | 0.865740i | \(-0.333152\pi\) |
0.707510 | + | 0.706703i | \(0.249818\pi\) | |||||||
\(908\) | −4.16979 | − | 14.9576i | −0.138379 | − | 0.496387i | ||||
\(909\) | 28.6962 | − | 11.8864i | 0.951793 | − | 0.394245i | ||||
\(910\) | 14.7435 | + | 1.83806i | 0.488743 | + | 0.0609312i | ||||
\(911\) | − | 25.3669i | − | 0.840444i | −0.907421 | − | 0.420222i | \(-0.861952\pi\) | ||
0.907421 | − | 0.420222i | \(-0.138048\pi\) | |||||||
\(912\) | −13.5734 | + | 24.6431i | −0.449461 | + | 0.816015i | ||||
\(913\) | 61.6357 | − | 35.5854i | 2.03985 | − | 1.17771i | ||||
\(914\) | 24.2455 | − | 21.4797i | 0.801970 | − | 0.710485i | ||||
\(915\) | 0.602088 | − | 4.57332i | 0.0199044 | − | 0.151189i | ||||
\(916\) | 0.447654 | + | 44.4483i | 0.0147909 | + | 1.46861i | ||||
\(917\) | −11.0287 | − | 2.17272i | −0.364200 | − | 0.0717494i | ||||
\(918\) | 0.365514 | + | 0.541112i | 0.0120638 | + | 0.0178594i | ||||
\(919\) | 2.28687 | + | 8.53473i | 0.0754370 | + | 0.281535i | 0.993332 | − | 0.115288i | \(-0.0367793\pi\) |
−0.917895 | + | 0.396823i | \(0.870113\pi\) | |||||||
\(920\) | −27.7466 | − | 30.6910i | −0.914778 | − | 1.01185i | ||||
\(921\) | 3.00636 | − | 11.2199i | 0.0990628 | − | 0.369707i | ||||
\(922\) | −41.7020 | − | 36.2018i | −1.37338 | − | 1.19224i | ||||
\(923\) | −2.96886 | − | 1.22974i | −0.0977213 | − | 0.0404775i | ||||
\(924\) | 10.8135 | + | 30.6516i | 0.355737 | + | 1.00836i | ||||
\(925\) | 24.0108 | + | 57.9673i | 0.789472 | + | 1.90595i | ||||
\(926\) | −37.6696 | + | 18.8130i | −1.23790 | + | 0.618233i | ||||
\(927\) | 5.69400 | + | 9.86229i | 0.187015 | + | 0.323920i | ||||
\(928\) | −10.9854 | − | 5.07771i | −0.360614 | − | 0.166684i | ||||
\(929\) | 2.93172 | − | 5.07789i | 0.0961867 | − | 0.166600i | −0.813917 | − | 0.580982i | \(-0.802669\pi\) |
0.910103 | + | 0.414382i | \(0.136002\pi\) | |||||||
\(930\) | −15.4943 | − | 10.2405i | −0.508078 | − | 0.335799i | ||||
\(931\) | 11.2838 | − | 42.7383i | 0.369810 | − | 1.40069i | ||||
\(932\) | 13.4665 | + | 5.41977i | 0.441110 | + | 0.177531i | ||||
\(933\) | −18.8570 | + | 14.4695i | −0.617352 | + | 0.473711i | ||||
\(934\) | −35.9965 | + | 12.4216i | −1.17784 | + | 0.406449i | ||||
\(935\) | −0.435382 | + | 1.62487i | −0.0142385 | + | 0.0531388i | ||||
\(936\) | −2.57174 | − | 5.02227i | −0.0840601 | − | 0.164158i | ||||
\(937\) | 10.1641 | − | 10.1641i | 0.332045 | − | 0.332045i | −0.521317 | − | 0.853363i | \(-0.674559\pi\) |
0.853363 | + | 0.521317i | \(0.174559\pi\) | |||||||
\(938\) | −20.3721 | − | 5.30896i | −0.665174 | − | 0.173344i | ||||
\(939\) | −7.97498 | + | 19.2533i | −0.260254 | + | 0.628308i | ||||
\(940\) | 15.4022 | − | 27.3088i | 0.502363 | − | 0.890716i | ||||
\(941\) | 3.84582 | + | 2.95100i | 0.125370 | + | 0.0961998i | 0.669543 | − | 0.742773i | \(-0.266490\pi\) |
−0.544173 | + | 0.838973i | \(0.683157\pi\) | |||||||
\(942\) | 14.2321 | − | 12.6085i | 0.463706 | − | 0.410808i | ||||
\(943\) | −11.4122 | − | 6.58882i | −0.371631 | − | 0.214561i | ||||
\(944\) | −12.7754 | + | 5.59577i | −0.415802 | + | 0.182127i | ||||
\(945\) | 48.1567 | − | 9.67086i | 1.56654 | − | 0.314593i | ||||
\(946\) | 13.3645 | − | 2.72839i | 0.434516 | − | 0.0887075i | ||||
\(947\) | −2.89052 | + | 21.9557i | −0.0939292 | + | 0.713463i | 0.878079 | + | 0.478516i | \(0.158825\pi\) |
−0.972008 | + | 0.234947i | \(0.924508\pi\) | |||||||
\(948\) | 2.83385 | − | 11.0188i | 0.0920393 | − | 0.357874i | ||||
\(949\) | −7.75496 | + | 1.02096i | −0.251737 | + | 0.0331418i | ||||
\(950\) | 4.56884 | + | 64.7123i | 0.148233 | + | 2.09955i | ||||
\(951\) | 16.0583 | − | 16.0583i | 0.520727 | − | 0.520727i | ||||
\(952\) | 0.626649 | − | 0.179342i | 0.0203098 | − | 0.00581250i | ||||
\(953\) | 22.4364 | + | 22.4364i | 0.726786 | + | 0.726786i | 0.969978 | − | 0.243192i | \(-0.0781945\pi\) |
−0.243192 | + | 0.969978i | \(0.578194\pi\) | |||||||
\(954\) | −17.9177 | + | 20.6400i | −0.580109 | + | 0.668245i | ||||
\(955\) | 3.74643 | + | 28.4570i | 0.121232 | + | 0.920847i | ||||
\(956\) | 2.17465 | + | 1.63413i | 0.0703331 | + | 0.0528517i | ||||
\(957\) | −13.0287 | − | 1.71527i | −0.421159 | − | 0.0554467i | ||||
\(958\) | −7.77911 | + | 11.7701i | −0.251332 | + | 0.380276i | ||||
\(959\) | −44.6925 | − | 15.0797i | −1.44320 | − | 0.486948i | ||||
\(960\) | −11.0655 | + | 29.1778i | −0.357138 | + | 0.941711i | ||||
\(961\) | 9.83241 | − | 17.0302i | 0.317175 | − | 0.549363i | ||||
\(962\) | −13.8246 | − | 0.836221i | −0.445722 | − | 0.0269608i | ||||
\(963\) | −18.2126 | + | 23.7351i | −0.586892 | + | 0.764853i | ||||
\(964\) | 2.58606 | − | 21.2985i | 0.0832914 | − | 0.685977i | ||||
\(965\) | 24.4883 | + | 10.1434i | 0.788307 | + | 0.326527i | ||||
\(966\) | 0.119595 | + | 17.4074i | 0.00384792 | + | 0.560073i | ||||
\(967\) | 38.2038 | + | 38.2038i | 1.22855 | + | 1.22855i | 0.964512 | + | 0.264038i | \(0.0850543\pi\) |
0.264038 | + | 0.964512i | \(0.414946\pi\) | |||||||
\(968\) | 54.7285 | − | 4.41829i | 1.75904 | − | 0.142009i | ||||
\(969\) | 0.591753 | + | 0.158560i | 0.0190098 | + | 0.00509367i | ||||
\(970\) | 44.8256 | + | 21.8256i | 1.43926 | + | 0.700778i | ||||
\(971\) | −28.9378 | − | 37.7125i | −0.928659 | − | 1.21025i | −0.977391 | − | 0.211440i | \(-0.932185\pi\) |
0.0487318 | − | 0.998812i | \(-0.484482\pi\) | |||||||
\(972\) | −21.7195 | − | 21.2864i | −0.696655 | − | 0.682762i | ||||
\(973\) | −5.24535 | + | 10.6859i | −0.168158 | + | 0.342574i | ||||
\(974\) | 25.8791 | − | 5.28328i | 0.829220 | − | 0.169287i | ||||
\(975\) | 7.94536 | + | 4.58726i | 0.254455 | + | 0.146910i | ||||
\(976\) | 0.711744 | + | 4.67634i | 0.0227824 | + | 0.149686i | ||||
\(977\) | 16.9903 | − | 9.80934i | 0.543567 | − | 0.313828i | −0.202956 | − | 0.979188i | \(-0.565055\pi\) |
0.746523 | + | 0.665359i | \(0.231722\pi\) | |||||||
\(978\) | 32.8914 | + | 10.9807i | 1.05175 | + | 0.351125i | ||||
\(979\) | 87.0228 | − | 36.0460i | 2.78126 | − | 1.15204i | ||||
\(980\) | 5.73104 | − | 48.6927i | 0.183071 | − | 1.55543i | ||||
\(981\) | −11.1062 | + | 26.8127i | −0.354593 | + | 0.856064i | ||||
\(982\) | 23.8326 | − | 1.68264i | 0.760530 | − | 0.0536952i | ||||
\(983\) | 19.1377 | + | 5.12793i | 0.610398 | + | 0.163556i | 0.550759 | − | 0.834664i | \(-0.314338\pi\) |
0.0596390 | + | 0.998220i | \(0.481005\pi\) | |||||||
\(984\) | −0.500151 | + | 9.92641i | −0.0159442 | + | 0.316442i | ||||
\(985\) | 49.5052 | − | 13.2649i | 1.57737 | − | 0.422654i | ||||
\(986\) | −0.0501098 | + | 0.258721i | −0.00159582 | + | 0.00823936i | ||||
\(987\) | −12.4836 | + | 4.26316i | −0.397356 | + | 0.135698i | ||||
\(988\) | −13.2845 | − | 5.34652i | −0.422636 | − | 0.170096i | ||||
\(989\) | 7.24279 | + | 0.953532i | 0.230307 | + | 0.0303205i | ||||
\(990\) | 2.90134 | − | 47.9656i | 0.0922106 | − | 1.52445i | ||||
\(991\) | −13.1724 | − | 22.8153i | −0.418436 | − | 0.724753i | 0.577346 | − | 0.816499i | \(-0.304088\pi\) |
−0.995782 | + | 0.0917467i | \(0.970755\pi\) | |||||||
\(992\) | 18.1830 | + | 5.66597i | 0.577312 | + | 0.179895i | ||||
\(993\) | −3.98526 | −0.126468 | ||||||||
\(994\) | −3.99063 | + | 9.82461i | −0.126575 | + | 0.311618i | ||||
\(995\) | 3.52873 | + | 8.51911i | 0.111868 | + | 0.270074i | ||||
\(996\) | −17.7302 | − | 22.6309i | −0.561804 | − | 0.717088i | ||||
\(997\) | 1.11838 | + | 8.49493i | 0.0354194 | + | 0.269037i | 0.999986 | + | 0.00519941i | \(0.00165503\pi\) |
−0.964567 | + | 0.263838i | \(0.915012\pi\) | |||||||
\(998\) | −53.0419 | + | 18.3037i | −1.67901 | + | 0.579393i | ||||
\(999\) | −44.2264 | + | 11.8504i | −1.39926 | + | 0.374931i |
(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 | 224.2.bd.a.37.10 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bh.a.625.9 | 240 | |||
7.4 | even | 3 | inner | 224.2.bd.a.165.30 | yes | 240 | |
28.11 | odd | 6 | 896.2.bh.a.753.22 | 240 | |||
32.13 | even | 8 | inner | 224.2.bd.a.205.30 | yes | 240 | |
32.19 | odd | 8 | 896.2.bh.a.401.22 | 240 | |||
224.109 | even | 24 | inner | 224.2.bd.a.109.10 | yes | 240 | |
224.179 | odd | 24 | 896.2.bh.a.529.9 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.37.10 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.bd.a.109.10 | yes | 240 | 224.109 | even | 24 | inner | |
224.2.bd.a.165.30 | yes | 240 | 7.4 | even | 3 | inner | |
224.2.bd.a.205.30 | yes | 240 | 32.13 | even | 8 | inner | |
896.2.bh.a.401.22 | 240 | 32.19 | odd | 8 | |||
896.2.bh.a.529.9 | 240 | 224.179 | odd | 24 | |||
896.2.bh.a.625.9 | 240 | 4.3 | odd | 2 | |||
896.2.bh.a.753.22 | 240 | 28.11 | odd | 6 |