Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,2,Mod(35,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([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("324.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.l (of order \(18\), degree \(6\), not 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: | \(2.58715302549\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 35.6 | ||
Character | \(\chi\) | \(=\) | 324.35 |
Dual form | 324.2.l.a.287.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.557089 | − | 1.29987i | −0.393922 | − | 0.919144i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.37930 | + | 1.44828i | −0.689652 | + | 0.724141i | ||||
\(5\) | 1.27150 | − | 3.49343i | 0.568634 | − | 1.56231i | −0.238004 | − | 0.971264i | \(-0.576493\pi\) |
0.806638 | − | 0.591045i | \(-0.201285\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.63150 | + | 0.287677i | 0.616647 | + | 0.108732i | 0.473242 | − | 0.880932i | \(-0.343084\pi\) |
0.143405 | + | 0.989664i | \(0.454195\pi\) | |||||||
\(8\) | 2.65097 | + | 0.986086i | 0.937259 | + | 0.348634i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −5.24933 | + | 0.293367i | −1.65998 | + | 0.0927708i | ||||
\(11\) | 0.526615 | − | 0.191672i | 0.158781 | − | 0.0577914i | −0.261407 | − | 0.965229i | \(-0.584186\pi\) |
0.420188 | + | 0.907437i | \(0.361964\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.99017 | − | 1.66995i | 0.551974 | − | 0.463161i | −0.323635 | − | 0.946182i | \(-0.604905\pi\) |
0.875609 | + | 0.483021i | \(0.160460\pi\) | |||||||
\(14\) | −0.534948 | − | 2.28099i | −0.142971 | − | 0.609620i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.195046 | − | 3.99524i | −0.0487616 | − | 0.998810i | ||||
\(17\) | −4.50885 | + | 2.60318i | −1.09356 | + | 0.631365i | −0.934521 | − | 0.355908i | \(-0.884172\pi\) |
−0.159035 | + | 0.987273i | \(0.550838\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.925473 | − | 0.534322i | −0.212318 | − | 0.122582i | 0.390070 | − | 0.920785i | \(-0.372451\pi\) |
−0.602388 | + | 0.798203i | \(0.705784\pi\) | |||||||
\(20\) | 3.30568 | + | 6.66000i | 0.739174 | + | 1.48922i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.542520 | − | 0.577751i | −0.115666 | − | 0.123177i | ||||
\(23\) | −1.54747 | − | 8.77613i | −0.322670 | − | 1.82995i | −0.525570 | − | 0.850751i | \(-0.676148\pi\) |
0.202900 | − | 0.979199i | \(-0.434963\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.75711 | − | 5.66989i | −1.35142 | − | 1.13398i | ||||
\(26\) | −3.27942 | − | 1.65664i | −0.643147 | − | 0.324895i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.66696 | + | 1.96607i | −0.504009 | + | 0.371553i | ||||
\(29\) | 0.702597 | − | 0.837323i | 0.130469 | − | 0.155487i | −0.696855 | − | 0.717212i | \(-0.745418\pi\) |
0.827324 | + | 0.561725i | \(0.189862\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.17422 | − | 0.559701i | 0.570107 | − | 0.100525i | 0.118839 | − | 0.992914i | \(-0.462083\pi\) |
0.451269 | + | 0.892388i | \(0.350972\pi\) | |||||||
\(32\) | −5.08462 | + | 2.47924i | −0.898842 | + | 0.438272i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.89562 | + | 4.41069i | 1.01109 | + | 0.756427i | ||||
\(35\) | 3.07943 | − | 5.33373i | 0.520519 | − | 0.901566i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.17849 | + | 5.50530i | 0.522540 | + | 0.905066i | 0.999656 | + | 0.0262257i | \(0.00834884\pi\) |
−0.477116 | + | 0.878840i | \(0.658318\pi\) | |||||||
\(38\) | −0.178976 | + | 1.50066i | −0.0290337 | + | 0.243439i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.81554 | − | 8.00716i | 1.07763 | − | 1.26604i | ||||
\(41\) | 0.556211 | + | 0.662866i | 0.0868655 | + | 0.103522i | 0.807726 | − | 0.589557i | \(-0.200698\pi\) |
−0.720861 | + | 0.693080i | \(0.756253\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.690832 | + | 1.89805i | 0.105351 | + | 0.289449i | 0.981156 | − | 0.193215i | \(-0.0618914\pi\) |
−0.875806 | + | 0.482664i | \(0.839669\pi\) | |||||||
\(44\) | −0.448767 | + | 1.02706i | −0.0676541 | + | 0.154835i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −10.5457 | + | 6.90059i | −1.55488 | + | 1.01744i | ||||
\(47\) | −1.22624 | + | 6.95438i | −0.178866 | + | 1.01440i | 0.754720 | + | 0.656047i | \(0.227773\pi\) |
−0.933586 | + | 0.358353i | \(0.883338\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.99883 | − | 1.45545i | −0.571261 | − | 0.207922i | ||||
\(50\) | −3.60578 | + | 11.9420i | −0.509934 | + | 1.68885i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.326486 | + | 5.18570i | −0.0452755 | + | 0.719127i | ||||
\(53\) | 6.80497i | 0.934734i | 0.884063 | + | 0.467367i | \(0.154797\pi\) | ||||
−0.884063 | + | 0.467367i | \(0.845203\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 2.08341i | − | 0.280926i | ||||||
\(56\) | 4.04137 | + | 2.37142i | 0.540051 | + | 0.316894i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.47982 | − | 0.446819i | −0.194309 | − | 0.0586702i | ||||
\(59\) | 8.57009 | + | 3.11926i | 1.11573 | + | 0.406093i | 0.833093 | − | 0.553134i | \(-0.186568\pi\) |
0.282639 | + | 0.959226i | \(0.408790\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.832127 | − | 4.71923i | 0.106543 | − | 0.604235i | −0.884050 | − | 0.467393i | \(-0.845193\pi\) |
0.990593 | − | 0.136842i | \(-0.0436954\pi\) | |||||||
\(62\) | −2.49586 | − | 3.81426i | −0.316975 | − | 0.484412i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.05527 | + | 5.22817i | 0.756909 | + | 0.653521i | ||||
\(65\) | −3.30335 | − | 9.07588i | −0.409730 | − | 1.12572i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.06749 | + | 8.42270i | 0.863431 | + | 1.02900i | 0.999268 | + | 0.0382656i | \(0.0121833\pi\) |
−0.135837 | + | 0.990731i | \(0.543372\pi\) | |||||||
\(68\) | 2.44892 | − | 10.1207i | 0.296975 | − | 1.22731i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −8.64866 | − | 1.03148i | −1.03371 | − | 0.123286i | ||||
\(71\) | 3.98206 | + | 6.89713i | 0.472583 | + | 0.818538i | 0.999508 | − | 0.0313737i | \(-0.00998821\pi\) |
−0.526924 | + | 0.849912i | \(0.676655\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.92588 | − | 3.33572i | 0.225407 | − | 0.390416i | −0.731035 | − | 0.682340i | \(-0.760962\pi\) |
0.956441 | + | 0.291924i | \(0.0942955\pi\) | |||||||
\(74\) | 5.38545 | − | 7.19855i | 0.626046 | − | 0.836815i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.05036 | − | 0.603355i | 0.235192 | − | 0.0692095i | ||||
\(77\) | 0.914311 | − | 0.161218i | 0.104195 | − | 0.0183725i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.28979 | − | 7.49588i | 0.707657 | − | 0.843353i | −0.285713 | − | 0.958315i | \(-0.592230\pi\) |
0.993370 | + | 0.114963i | \(0.0366748\pi\) | |||||||
\(80\) | −14.2051 | − | 4.39859i | −1.58818 | − | 0.491777i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.551778 | − | 1.09228i | 0.0609337 | − | 0.120622i | ||||
\(83\) | −1.28797 | − | 1.08073i | −0.141373 | − | 0.118626i | 0.569359 | − | 0.822089i | \(-0.307191\pi\) |
−0.710732 | + | 0.703463i | \(0.751636\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.36102 | + | 19.0613i | 0.364554 | + | 2.06749i | ||||
\(86\) | 2.08235 | − | 1.95537i | 0.224546 | − | 0.210853i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.58505 | + | 0.0111708i | 0.168967 | + | 0.00119081i | ||||
\(89\) | 10.9229 | + | 6.30632i | 1.15782 | + | 0.668469i | 0.950781 | − | 0.309864i | \(-0.100283\pi\) |
0.207041 | + | 0.978332i | \(0.433617\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.72736 | − | 2.15199i | 0.390734 | − | 0.225590i | ||||
\(92\) | 14.8448 | + | 9.86377i | 1.54767 | + | 1.02837i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.72289 | − | 2.28026i | 1.00284 | − | 0.235190i | ||||
\(95\) | −3.04336 | + | 2.55368i | −0.312242 | + | 0.262002i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.74927 | − | 1.36462i | 0.380681 | − | 0.138556i | −0.144590 | − | 0.989492i | \(-0.546186\pi\) |
0.525271 | + | 0.850935i | \(0.323964\pi\) | |||||||
\(98\) | 0.335809 | + | 6.00876i | 0.0339218 | + | 0.606976i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 17.5317 | − | 1.96571i | 1.75317 | − | 0.196571i | ||||
\(101\) | −7.58285 | − | 1.33706i | −0.754522 | − | 0.133043i | −0.216860 | − | 0.976203i | \(-0.569581\pi\) |
−0.537662 | + | 0.843160i | \(0.680693\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.02587 | + | 2.81855i | −0.101082 | + | 0.277720i | −0.979917 | − | 0.199405i | \(-0.936099\pi\) |
0.878835 | + | 0.477125i | \(0.158321\pi\) | |||||||
\(104\) | 6.92260 | − | 2.46451i | 0.678817 | − | 0.241665i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.84555 | − | 3.79098i | 0.859156 | − | 0.368212i | ||||
\(107\) | −11.8919 | −1.14963 | −0.574815 | − | 0.818283i | \(-0.694926\pi\) | ||||
−0.574815 | + | 0.818283i | \(0.694926\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.26570 | 0.887493 | 0.443747 | − | 0.896152i | \(-0.353649\pi\) | ||||
0.443747 | + | 0.896152i | \(0.353649\pi\) | |||||||
\(110\) | −2.70815 | + | 1.16064i | −0.258212 | + | 0.110663i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.831121 | − | 6.57433i | 0.0785335 | − | 0.621216i | ||||
\(113\) | 1.92797 | − | 5.29705i | 0.181368 | − | 0.498304i | −0.815376 | − | 0.578931i | \(-0.803470\pi\) |
0.996744 | + | 0.0806268i | \(0.0256922\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −32.6264 | − | 5.75292i | −3.04243 | − | 0.536462i | ||||
\(116\) | 0.243586 | + | 2.17248i | 0.0226164 | + | 0.201710i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.719689 | − | 12.8777i | −0.0662527 | − | 1.18549i | ||||
\(119\) | −8.10504 | + | 2.94999i | −0.742988 | + | 0.270426i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.18590 | + | 6.86879i | −0.744173 | + | 0.624435i | ||||
\(122\) | −6.59793 | + | 1.54738i | −0.597349 | + | 0.140093i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.56761 | + | 5.36917i | −0.320381 | + | 0.482166i | ||||
\(125\) | −12.3012 | + | 7.10212i | −1.10026 | + | 0.635233i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.01988 | − | 4.05293i | −0.622914 | − | 0.359639i | 0.155089 | − | 0.987901i | \(-0.450434\pi\) |
−0.778002 | + | 0.628261i | \(0.783767\pi\) | |||||||
\(128\) | 3.42259 | − | 10.7836i | 0.302517 | − | 0.953144i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −9.95716 | + | 9.34998i | −0.873301 | + | 0.820048i | ||||
\(131\) | 1.61022 | + | 9.13203i | 0.140686 | + | 0.797869i | 0.970730 | + | 0.240172i | \(0.0772039\pi\) |
−0.830044 | + | 0.557697i | \(0.811685\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.35619 | − | 1.13798i | −0.117597 | − | 0.0986755i | ||||
\(134\) | 7.01116 | − | 13.8790i | 0.605672 | − | 1.19896i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −14.5198 | + | 2.45485i | −1.24506 | + | 0.210501i | ||||
\(137\) | 2.22025 | − | 2.64599i | 0.189689 | − | 0.226062i | −0.662815 | − | 0.748783i | \(-0.730638\pi\) |
0.852504 | + | 0.522721i | \(0.175083\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.28870 | + | 0.932540i | −0.448581 | + | 0.0790970i | −0.393375 | − | 0.919378i | \(-0.628693\pi\) |
−0.0552061 | + | 0.998475i | \(0.517582\pi\) | |||||||
\(140\) | 3.47728 | + | 11.8167i | 0.293884 | + | 0.998696i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.74698 | − | 9.01846i | 0.566194 | − | 0.756812i | ||||
\(143\) | 0.727971 | − | 1.26088i | 0.0608760 | − | 0.105440i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.03177 | − | 3.51913i | −0.168730 | − | 0.292248i | ||||
\(146\) | −5.40887 | − | 0.645090i | −0.447641 | − | 0.0533880i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −12.3573 | − | 2.99013i | −1.01577 | − | 0.245787i | ||||
\(149\) | 7.36478 | + | 8.77701i | 0.603346 | + | 0.719040i | 0.978112 | − | 0.208079i | \(-0.0667212\pi\) |
−0.374766 | + | 0.927120i | \(0.622277\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.80528 | + | 21.4448i | 0.635185 | + | 1.74516i | 0.666348 | + | 0.745641i | \(0.267857\pi\) |
−0.0311634 | + | 0.999514i | \(0.509921\pi\) | |||||||
\(152\) | −1.92651 | − | 2.32907i | −0.156261 | − | 0.188912i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.718914 | − | 1.09867i | −0.0579317 | − | 0.0885332i | ||||
\(155\) | 2.08076 | − | 11.8006i | 0.167131 | − | 0.947846i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.79694 | − | 2.83786i | −0.622264 | − | 0.226485i | 0.0115969 | − | 0.999933i | \(-0.496309\pi\) |
−0.633861 | + | 0.773447i | \(0.718531\pi\) | |||||||
\(158\) | −13.2476 | − | 4.00001i | −1.05392 | − | 0.318224i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.19594 | + | 20.9151i | 0.173604 | + | 1.65349i | ||||
\(161\) | − | 14.7634i | − | 1.16352i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 8.81551i | − | 0.690484i | −0.938514 | − | 0.345242i | \(-0.887797\pi\) | ||
0.938514 | − | 0.345242i | \(-0.112203\pi\) | |||||||
\(164\) | −1.72720 | − | 0.108743i | −0.134872 | − | 0.00849139i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.687294 | + | 2.27625i | −0.0533444 | + | 0.176671i | ||||
\(167\) | −21.1905 | − | 7.71271i | −1.63977 | − | 0.596828i | −0.652772 | − | 0.757555i | \(-0.726394\pi\) |
−0.986999 | + | 0.160727i | \(0.948616\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.08538 | + | 6.15552i | −0.0834911 | + | 0.473502i | ||||
\(170\) | 22.9048 | − | 14.9877i | 1.75671 | − | 1.14951i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.70177 | − | 1.61746i | −0.282258 | − | 0.123330i | ||||
\(173\) | 3.50842 | + | 9.63931i | 0.266740 | + | 0.732863i | 0.998674 | + | 0.0514871i | \(0.0163961\pi\) |
−0.731933 | + | 0.681376i | \(0.761382\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.39310 | − | 11.1943i | −0.710052 | − | 0.846207i | ||||
\(176\) | −0.868492 | − | 2.06657i | −0.0654650 | − | 0.155774i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.11236 | − | 17.7114i | 0.158328 | − | 1.32753i | ||||
\(179\) | 7.25044 | + | 12.5581i | 0.541923 | + | 0.938639i | 0.998794 | + | 0.0491053i | \(0.0156370\pi\) |
−0.456870 | + | 0.889533i | \(0.651030\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.64382 | + | 4.57923i | −0.196513 | + | 0.340371i | −0.947396 | − | 0.320065i | \(-0.896295\pi\) |
0.750882 | + | 0.660436i | \(0.229629\pi\) | |||||||
\(182\) | −4.87378 | − | 3.64622i | −0.361268 | − | 0.270276i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.55173 | − | 24.7912i | 0.335558 | − | 1.82763i | ||||
\(185\) | 23.2738 | − | 4.10381i | 1.71113 | − | 0.301718i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.87547 | + | 2.23510i | −0.137148 | + | 0.163447i | ||||
\(188\) | −8.38054 | − | 11.3681i | −0.611214 | − | 0.829107i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.01487 | + | 2.53333i | 0.363817 | + | 0.183787i | ||||
\(191\) | 8.98845 | + | 7.54221i | 0.650381 | + | 0.545735i | 0.907187 | − | 0.420728i | \(-0.138225\pi\) |
−0.256805 | + | 0.966463i | \(0.582670\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.02043 | − | 22.8010i | −0.289397 | − | 1.64125i | −0.689144 | − | 0.724624i | \(-0.742013\pi\) |
0.399748 | − | 0.916625i | \(-0.369098\pi\) | |||||||
\(194\) | −3.86251 | − | 4.11333i | −0.277312 | − | 0.295320i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.62350 | − | 3.78392i | 0.544536 | − | 0.270280i | ||||
\(197\) | 0.386490 | + | 0.223140i | 0.0275363 | + | 0.0158981i | 0.513705 | − | 0.857967i | \(-0.328273\pi\) |
−0.486169 | + | 0.873865i | \(0.661606\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.88191 | + | 5.70532i | −0.700510 | + | 0.404440i | −0.807537 | − | 0.589816i | \(-0.799200\pi\) |
0.107027 | + | 0.994256i | \(0.465867\pi\) | |||||||
\(200\) | −12.3219 | − | 21.6938i | −0.871289 | − | 1.53398i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.48633 | + | 10.6016i | 0.174937 | + | 0.745923i | ||||
\(203\) | 1.38716 | − | 1.16397i | 0.0973597 | − | 0.0816945i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.02290 | − | 1.10025i | 0.211129 | − | 0.0768445i | ||||
\(206\) | 4.23523 | − | 0.236693i | 0.295083 | − | 0.0164912i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.06004 | − | 7.62550i | −0.489526 | − | 0.528733i | ||||
\(209\) | −0.589783 | − | 0.103995i | −0.0407962 | − | 0.00719346i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.98697 | − | 5.45916i | 0.136789 | − | 0.375824i | −0.852318 | − | 0.523024i | \(-0.824804\pi\) |
0.989107 | + | 0.147200i | \(0.0470261\pi\) | |||||||
\(212\) | −9.85552 | − | 9.38611i | −0.676880 | − | 0.644641i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.62483 | + | 15.4578i | 0.452864 | + | 1.05668i | ||||
\(215\) | 7.50908 | 0.512115 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.33975 | 0.362486 | ||||||||
\(218\) | −5.16182 | − | 12.0442i | −0.349603 | − | 0.815734i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.01736 | + | 2.87365i | 0.203431 | + | 0.193741i | ||||
\(221\) | −4.62619 | + | 12.7103i | −0.311191 | + | 0.854990i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.66426 | + | 0.646109i | 0.245377 | + | 0.0432666i | 0.294984 | − | 0.955502i | \(-0.404686\pi\) |
−0.0496067 | + | 0.998769i | \(0.515797\pi\) | |||||||
\(224\) | −9.00876 | + | 2.58214i | −0.601923 | + | 0.172527i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.95950 | + | 0.444829i | −0.529458 | + | 0.0295896i | ||||
\(227\) | −6.21679 | + | 2.26273i | −0.412623 | + | 0.150183i | −0.539987 | − | 0.841674i | \(-0.681571\pi\) |
0.127364 | + | 0.991856i | \(0.459348\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.885467 | − | 0.742995i | 0.0585133 | − | 0.0490985i | −0.613062 | − | 0.790035i | \(-0.710062\pi\) |
0.671575 | + | 0.740936i | \(0.265618\pi\) | |||||||
\(230\) | 10.6978 | + | 45.6149i | 0.705393 | + | 3.00775i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.68824 | − | 1.52689i | 0.176491 | − | 0.100246i | ||||
\(233\) | 14.7446 | − | 8.51281i | 0.965953 | − | 0.557693i | 0.0679527 | − | 0.997689i | \(-0.478353\pi\) |
0.898000 | + | 0.439996i | \(0.145020\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 22.7355 | + | 13.1263i | 1.48310 | + | 0.856267i | ||||
\(236\) | −16.3383 | + | 8.10952i | −1.06353 | + | 0.527885i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.34983 | + | 8.89206i | 0.541239 | + | 0.576387i | ||||
\(239\) | −0.209499 | − | 1.18813i | −0.0135514 | − | 0.0768536i | 0.977282 | − | 0.211943i | \(-0.0679790\pi\) |
−0.990833 | + | 0.135089i | \(0.956868\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.65607 | − | 6.42420i | −0.493171 | − | 0.413819i | 0.361990 | − | 0.932182i | \(-0.382097\pi\) |
−0.855161 | + | 0.518363i | \(0.826542\pi\) | |||||||
\(242\) | 13.4888 | + | 6.81405i | 0.867092 | + | 0.438024i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.68702 | + | 7.71440i | 0.364074 | + | 0.493864i | ||||
\(245\) | −10.1691 | + | 12.1190i | −0.649677 | + | 0.774255i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.73414 | + | 0.482103i | −0.173969 | + | 0.0306755i | ||||
\(248\) | 8.96668 | + | 1.64631i | 0.569385 | + | 0.104541i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 16.0847 | + | 12.0334i | 1.01729 | + | 0.761062i | ||||
\(251\) | 6.65375 | − | 11.5246i | 0.419981 | − | 0.727429i | −0.575956 | − | 0.817481i | \(-0.695370\pi\) |
0.995937 | + | 0.0900521i | \(0.0287034\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.49706 | − | 4.32504i | −0.156989 | − | 0.271913i | ||||
\(254\) | −1.35756 | + | 11.3827i | −0.0851812 | + | 0.714217i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.9239 | + | 1.55852i | −0.995245 | + | 0.0974072i | ||||
\(257\) | −8.91483 | − | 10.6243i | −0.556092 | − | 0.662725i | 0.412623 | − | 0.910902i | \(-0.364613\pi\) |
−0.968715 | + | 0.248178i | \(0.920168\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.60194 | + | 9.89625i | 0.223814 | + | 0.614923i | ||||
\(260\) | 17.7008 | + | 7.73420i | 1.09775 | + | 0.479655i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.9734 | − | 7.18043i | 0.677938 | − | 0.443609i | ||||
\(263\) | −0.425181 | + | 2.41132i | −0.0262178 | + | 0.148688i | −0.995106 | − | 0.0988085i | \(-0.968497\pi\) |
0.968889 | + | 0.247497i | \(0.0796080\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 23.7727 | + | 8.65255i | 1.46034 | + | 0.531522i | ||||
\(266\) | −0.723702 | + | 2.39683i | −0.0443730 | + | 0.146959i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −21.9467 | − | 1.38174i | −1.34061 | − | 0.0844032i | ||||
\(269\) | − | 4.12106i | − | 0.251266i | −0.992077 | − | 0.125633i | \(-0.959904\pi\) | ||
0.992077 | − | 0.125633i | \(-0.0400961\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.9859i | 0.728089i | 0.931382 | + | 0.364044i | \(0.118604\pi\) | ||||
−0.931382 | + | 0.364044i | \(0.881396\pi\) | |||||||
\(272\) | 11.2798 | + | 17.5062i | 0.683938 | + | 1.06147i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.67632 | − | 1.41198i | −0.282507 | − | 0.0853006i | ||||
\(275\) | −4.64516 | − | 1.69070i | −0.280114 | − | 0.101953i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.21533 | + | 29.5776i | −0.313359 | + | 1.77715i | 0.267921 | + | 0.963441i | \(0.413664\pi\) |
−0.581279 | + | 0.813704i | \(0.697448\pi\) | |||||||
\(278\) | 4.15845 | + | 6.35509i | 0.249407 | + | 0.381153i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 13.4230 | − | 11.1030i | 0.802178 | − | 0.663530i | ||||
\(281\) | −2.37006 | − | 6.51169i | −0.141386 | − | 0.388455i | 0.848708 | − | 0.528862i | \(-0.177381\pi\) |
−0.990094 | + | 0.140407i | \(0.955159\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.1288 | − | 14.4545i | −0.720981 | − | 0.859232i | 0.273745 | − | 0.961802i | \(-0.411738\pi\) |
−0.994726 | + | 0.102571i | \(0.967293\pi\) | |||||||
\(284\) | −15.4815 | − | 3.74608i | −0.918655 | − | 0.222289i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.04452 | − | 0.243841i | −0.120895 | − | 0.0144186i | ||||
\(287\) | 0.716765 | + | 1.24147i | 0.0423093 | + | 0.0732818i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.05314 | − | 8.75230i | 0.297244 | − | 0.514841i | ||||
\(290\) | −3.44252 | + | 4.60150i | −0.202152 | + | 0.270210i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.17469 | + | 7.39018i | 0.127264 | + | 0.432477i | ||||
\(293\) | −20.8109 | + | 3.66952i | −1.21578 | + | 0.214375i | −0.744510 | − | 0.667612i | \(-0.767317\pi\) |
−0.471274 | + | 0.881987i | \(0.656206\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 21.7938 | − | 25.9729i | 1.26889 | − | 1.51220i | ||||
\(296\) | 2.99737 | + | 17.7286i | 0.174218 | + | 1.03046i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.30609 | − | 14.4628i | 0.423230 | − | 0.837808i | ||||
\(299\) | −17.7354 | − | 14.8818i | −1.02567 | − | 0.860637i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.581066 | + | 3.29539i | 0.0334921 | + | 0.189943i | ||||
\(302\) | 23.5272 | − | 22.0925i | 1.35384 | − | 1.27128i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.95424 | + | 3.80171i | −0.112083 | + | 0.218043i | ||||
\(305\) | −15.4282 | − | 8.90750i | −0.883418 | − | 0.510042i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.4037 | − | 10.0480i | 0.993279 | − | 0.573470i | 0.0870262 | − | 0.996206i | \(-0.472264\pi\) |
0.906253 | + | 0.422736i | \(0.138930\pi\) | |||||||
\(308\) | −1.02762 | + | 1.54655i | −0.0585542 | + | 0.0881228i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −16.4984 | + | 3.86927i | −0.937044 | + | 0.219760i | ||||
\(311\) | 19.9629 | − | 16.7508i | 1.13199 | − | 0.949853i | 0.132844 | − | 0.991137i | \(-0.457589\pi\) |
0.999147 | + | 0.0412837i | \(0.0131448\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.8210 | − | 8.30617i | 1.28992 | − | 0.469493i | 0.396219 | − | 0.918156i | \(-0.370322\pi\) |
0.893701 | + | 0.448663i | \(0.148100\pi\) | |||||||
\(314\) | 0.654762 | + | 11.7159i | 0.0369504 | + | 0.661168i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.18063 | + | 19.4485i | 0.122670 | + | 1.09406i | ||||
\(317\) | −6.07999 | − | 1.07207i | −0.341486 | − | 0.0602132i | 0.000275215 | − | 1.00000i | \(-0.499912\pi\) |
−0.341762 | + | 0.939787i | \(0.611024\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.209507 | − | 0.575616i | 0.0117301 | − | 0.0322283i | ||||
\(320\) | 25.9635 | − | 14.5060i | 1.45141 | − | 0.810911i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −19.1904 | + | 8.22453i | −1.06944 | + | 0.458335i | ||||
\(323\) | 5.56376 | 0.309576 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −22.9162 | −1.27116 | ||||||||
\(326\) | −11.4590 | + | 4.91103i | −0.634654 | + | 0.271997i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.820854 | + | 2.30571i | 0.0453241 | + | 0.127312i | ||||
\(329\) | −4.00123 | + | 10.9933i | −0.220595 | + | 0.606079i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.1356 | + | 2.49248i | 0.776962 | + | 0.136999i | 0.548047 | − | 0.836447i | \(-0.315371\pi\) |
0.228914 | + | 0.973447i | \(0.426482\pi\) | |||||||
\(332\) | 3.34170 | − | 0.374682i | 0.183400 | − | 0.0205634i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.77951 | + | 31.8415i | 0.0973705 | + | 1.74229i | ||||
\(335\) | 38.4105 | − | 13.9803i | 2.09859 | − | 0.763823i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.7441 | + | 12.3718i | −0.803163 | + | 0.673934i | −0.948966 | − | 0.315380i | \(-0.897868\pi\) |
0.145802 | + | 0.989314i | \(0.453424\pi\) | |||||||
\(338\) | 8.60601 | − | 2.01832i | 0.468105 | − | 0.109782i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −32.2420 | − | 21.4236i | −1.74857 | − | 1.16186i | ||||
\(341\) | 1.56432 | − | 0.903158i | 0.0847125 | − | 0.0489088i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.1484 | − | 9.32326i | −0.871930 | − | 0.503409i | ||||
\(344\) | −0.0402623 | + | 5.71288i | −0.00217080 | + | 0.308018i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.5753 | − | 9.93044i | 0.568532 | − | 0.533864i | ||||
\(347\) | 5.51709 | + | 31.2889i | 0.296173 | + | 1.67968i | 0.662398 | + | 0.749152i | \(0.269539\pi\) |
−0.366225 | + | 0.930526i | \(0.619350\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.2668 | + | 11.1322i | 0.710158 | + | 0.595893i | 0.924643 | − | 0.380834i | \(-0.124363\pi\) |
−0.214485 | + | 0.976727i | \(0.568807\pi\) | |||||||
\(350\) | −9.31824 | + | 18.4460i | −0.498081 | + | 0.985979i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.20244 | + | 2.28019i | −0.117390 | + | 0.121534i | ||||
\(353\) | 2.57802 | − | 3.07236i | 0.137214 | − | 0.163525i | −0.693061 | − | 0.720878i | \(-0.743739\pi\) |
0.830276 | + | 0.557353i | \(0.188183\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 29.1578 | − | 5.14131i | 1.54754 | − | 0.272873i | ||||
\(356\) | −24.1993 | + | 7.12107i | −1.28256 | + | 0.377416i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.2847 | − | 16.4206i | 0.649269 | − | 0.867856i | ||||
\(359\) | −6.05065 | + | 10.4800i | −0.319341 | + | 0.553115i | −0.980351 | − | 0.197262i | \(-0.936795\pi\) |
0.661010 | + | 0.750377i | \(0.270128\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.92900 | − | 15.4655i | −0.469947 | − | 0.813973i | ||||
\(362\) | 7.42522 | + | 0.885570i | 0.390261 | + | 0.0465445i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.02447 | + | 8.36653i | −0.106111 | + | 0.438525i | ||||
\(365\) | −9.20433 | − | 10.9693i | −0.481777 | − | 0.574159i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.17616 | − | 3.23148i | −0.0613952 | − | 0.168682i | 0.905202 | − | 0.424981i | \(-0.139719\pi\) |
−0.966598 | + | 0.256299i | \(0.917497\pi\) | |||||||
\(368\) | −34.7609 | + | 7.89427i | −1.81204 | + | 0.411517i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −18.3000 | − | 27.9667i | −0.951372 | − | 1.45392i | ||||
\(371\) | −1.95763 | + | 11.1023i | −0.101635 | + | 0.576402i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.38991 | − | 1.96177i | −0.279079 | − | 0.101576i | 0.198689 | − | 0.980063i | \(-0.436332\pi\) |
−0.477768 | + | 0.878486i | \(0.658554\pi\) | |||||||
\(374\) | 3.95013 | + | 1.19271i | 0.204257 | + | 0.0616736i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.1084 | + | 17.2267i | −0.521298 | + | 0.888397i | ||||
\(377\) | − | 2.83972i | − | 0.146253i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.2439i | 1.29669i | 0.761346 | + | 0.648346i | \(0.224539\pi\) | ||||
−0.761346 | + | 0.648346i | \(0.775461\pi\) | |||||||
\(380\) | 0.499261 | − | 7.92995i | 0.0256116 | − | 0.406798i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.79649 | − | 15.8855i | 0.245410 | − | 0.812771i | ||||
\(383\) | 9.14102 | + | 3.32706i | 0.467084 | + | 0.170005i | 0.564831 | − | 0.825206i | \(-0.308941\pi\) |
−0.0977467 | + | 0.995211i | \(0.531164\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.599348 | − | 3.39907i | 0.0305456 | − | 0.173233i | ||||
\(386\) | −27.3985 | + | 17.9282i | −1.39454 | + | 0.912521i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.19502 | + | 7.31223i | −0.162203 | + | 0.371222i | ||||
\(389\) | 3.05382 | + | 8.39029i | 0.154835 | + | 0.425405i | 0.992721 | − | 0.120441i | \(-0.0384308\pi\) |
−0.837886 | + | 0.545845i | \(0.816209\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 29.8232 | + | 35.5419i | 1.50822 | + | 1.79743i | ||||
\(392\) | −9.16556 | − | 7.80155i | −0.462931 | − | 0.394038i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.0747428 | − | 0.626695i | 0.00376549 | − | 0.0315724i | ||||
\(395\) | −18.1888 | − | 31.5040i | −0.915180 | − | 1.58514i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.03466 | + | 1.79209i | −0.0519283 | + | 0.0899424i | −0.890821 | − | 0.454354i | \(-0.849870\pi\) |
0.838893 | + | 0.544297i | \(0.183203\pi\) | |||||||
\(398\) | 12.9213 | + | 9.66678i | 0.647684 | + | 0.484552i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −21.3346 | + | 28.1022i | −1.06673 | + | 1.40511i | ||||
\(401\) | −30.0242 | + | 5.29408i | −1.49934 | + | 0.264374i | −0.862276 | − | 0.506439i | \(-0.830961\pi\) |
−0.637062 | + | 0.770813i | \(0.719850\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.38257 | − | 6.41470i | 0.268125 | − | 0.319539i | ||||
\(404\) | 12.3955 | − | 9.13790i | 0.616699 | − | 0.454628i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.28578 | − | 1.15469i | −0.113441 | − | 0.0573064i | ||||
\(407\) | 2.72905 | + | 2.28995i | 0.135274 | + | 0.113509i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.17283 | − | 35.0079i | −0.305227 | − | 1.73103i | −0.622434 | − | 0.782672i | \(-0.713856\pi\) |
0.317207 | − | 0.948356i | \(-0.397255\pi\) | |||||||
\(410\) | −3.11420 | − | 3.31643i | −0.153799 | − | 0.163787i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.66707 | − | 5.37338i | −0.131397 | − | 0.264727i | ||||
\(413\) | 13.0847 | + | 7.55447i | 0.643858 | + | 0.371731i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.41311 | + | 3.12526i | −0.265719 | + | 0.153413i | ||||
\(416\) | −5.97905 | + | 13.4252i | −0.293147 | + | 0.658224i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.193383 | + | 0.824573i | 0.00945866 | + | 0.0403312i | ||||
\(419\) | −9.43828 | + | 7.91966i | −0.461090 | + | 0.386901i | −0.843532 | − | 0.537079i | \(-0.819528\pi\) |
0.382442 | + | 0.923980i | \(0.375083\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.3519 | − | 5.95160i | 0.796943 | − | 0.290063i | 0.0887237 | − | 0.996056i | \(-0.471721\pi\) |
0.708219 | + | 0.705993i | \(0.249499\pi\) | |||||||
\(422\) | −8.20309 | + | 0.458443i | −0.399320 | + | 0.0223166i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.71029 | + | 18.0398i | −0.325880 | + | 0.876088i | ||||
\(425\) | 45.2265 | + | 7.97466i | 2.19381 | + | 0.386828i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.71522 | − | 7.46001i | 0.131399 | − | 0.361015i | ||||
\(428\) | 16.4025 | − | 17.2228i | 0.792844 | − | 0.832495i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.18323 | − | 9.76080i | −0.201733 | − | 0.470708i | ||||
\(431\) | −19.0526 | −0.917729 | −0.458865 | − | 0.888506i | \(-0.651744\pi\) | ||||
−0.458865 | + | 0.888506i | \(0.651744\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −37.4918 | −1.80174 | −0.900870 | − | 0.434088i | \(-0.857071\pi\) | ||||
−0.900870 | + | 0.434088i | \(0.857071\pi\) | |||||||
\(434\) | −2.97472 | − | 6.94095i | −0.142791 | − | 0.333176i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −12.7802 | + | 13.4194i | −0.612061 | + | 0.642671i | ||||
\(437\) | −3.25714 | + | 8.94892i | −0.155810 | + | 0.428085i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −22.1128 | − | 3.89909i | −1.05539 | − | 0.186093i | −0.381079 | − | 0.924543i | \(-0.624447\pi\) |
−0.674309 | + | 0.738449i | \(0.735558\pi\) | |||||||
\(440\) | 2.05442 | − | 5.52305i | 0.0979406 | − | 0.263301i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 19.0989 | − | 1.06737i | 0.908444 | − | 0.0507698i | ||||
\(443\) | −9.66840 | + | 3.51901i | −0.459359 | + | 0.167193i | −0.561326 | − | 0.827595i | \(-0.689709\pi\) |
0.101967 | + | 0.994788i | \(0.467486\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 35.9192 | − | 30.1398i | 1.70273 | − | 1.42876i | ||||
\(446\) | −1.20147 | − | 5.12299i | −0.0568911 | − | 0.242581i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.37512 | + | 10.2717i | 0.395687 | + | 0.485292i | ||||
\(449\) | 7.77889 | − | 4.49114i | 0.367109 | − | 0.211950i | −0.305086 | − | 0.952325i | \(-0.598685\pi\) |
0.672194 | + | 0.740375i | \(0.265352\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.419962 | + | 0.242465i | 0.0197753 | + | 0.0114172i | ||||
\(452\) | 5.01237 | + | 10.0985i | 0.235762 | + | 0.474992i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.40455 | + | 6.82046i | 0.300580 | + | 0.320100i | ||||
\(455\) | −2.77848 | − | 15.7576i | −0.130257 | − | 0.738725i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.65475 | − | 3.06670i | −0.170962 | − | 0.143454i | 0.553292 | − | 0.832987i | \(-0.313371\pi\) |
−0.724254 | + | 0.689533i | \(0.757816\pi\) | |||||||
\(458\) | −1.45908 | − | 0.737074i | −0.0681782 | − | 0.0344412i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 53.3336 | − | 39.3173i | 2.48669 | − | 1.83318i | ||||
\(461\) | 18.3723 | − | 21.8953i | 0.855684 | − | 1.01976i | −0.143861 | − | 0.989598i | \(-0.545952\pi\) |
0.999545 | − | 0.0301663i | \(-0.00960370\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −41.7768 | + | 7.36638i | −1.94153 | + | 0.342345i | −0.941548 | + | 0.336878i | \(0.890629\pi\) |
−0.999985 | + | 0.00546674i | \(0.998260\pi\) | |||||||
\(464\) | −3.48235 | − | 2.64373i | −0.161664 | − | 0.122732i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −19.2796 | − | 14.4236i | −0.893110 | − | 0.668162i | ||||
\(467\) | 3.22767 | − | 5.59048i | 0.149359 | − | 0.258697i | −0.781632 | − | 0.623740i | \(-0.785612\pi\) |
0.930991 | + | 0.365043i | \(0.118946\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.10756 | + | 15.7748i | 0.420548 | + | 0.728410i | ||||
\(470\) | 4.39678 | − | 36.8656i | 0.202808 | − | 1.70048i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 19.6432 | + | 16.7199i | 0.904151 | + | 0.769596i | ||||
\(473\) | 0.727606 | + | 0.867127i | 0.0334553 | + | 0.0398705i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.22398 | + | 8.85780i | 0.147926 | + | 0.406424i | ||||
\(476\) | 6.90688 | − | 15.8073i | 0.316577 | − | 0.724528i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.42770 | + | 0.934214i | −0.0653014 | + | 0.0427300i | ||||
\(479\) | 6.20075 | − | 35.1662i | 0.283319 | − | 1.60678i | −0.427909 | − | 0.903822i | \(-0.640750\pi\) |
0.711228 | − | 0.702961i | \(-0.248139\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.5193 | + | 5.64857i | 0.707620 | + | 0.257553i | ||||
\(482\) | −4.08549 | + | 13.5307i | −0.186089 | + | 0.616307i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.34289 | − | 21.3296i | 0.0610406 | − | 0.969529i | ||||
\(485\) | − | 14.8329i | − | 0.673529i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 40.6600i | − | 1.84248i | −0.388993 | − | 0.921241i | \(-0.627177\pi\) | ||
0.388993 | − | 0.921241i | \(-0.372823\pi\) | |||||||
\(488\) | 6.85951 | − | 11.6900i | 0.310515 | − | 0.529180i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 21.4182 | + | 6.46704i | 0.967574 | + | 0.292151i | ||||
\(491\) | 26.4253 | + | 9.61801i | 1.19256 | + | 0.434055i | 0.860620 | − | 0.509247i | \(-0.170076\pi\) |
0.331935 | + | 0.943302i | \(0.392298\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.988198 | + | 5.60435i | −0.0445062 | + | 0.252407i | ||||
\(494\) | 2.14983 | + | 3.28544i | 0.0967254 | + | 0.147819i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.85526 | − | 12.5726i | −0.128205 | − | 0.564527i | ||||
\(497\) | 4.51257 | + | 12.3982i | 0.202416 | + | 0.556134i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −21.2879 | − | 25.3699i | −0.952977 | − | 1.13571i | −0.990651 | − | 0.136423i | \(-0.956439\pi\) |
0.0376739 | − | 0.999290i | \(-0.488005\pi\) | |||||||
\(500\) | 6.68125 | − | 27.6116i | 0.298795 | − | 1.23483i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −18.6872 | − | 2.22873i | −0.834051 | − | 0.0994733i | ||||
\(503\) | −13.4484 | − | 23.2932i | −0.599633 | − | 1.03859i | −0.992875 | − | 0.119159i | \(-0.961980\pi\) |
0.393242 | − | 0.919435i | \(-0.371353\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.3126 | + | 24.7901i | −0.636901 | + | 1.10314i | ||||
\(506\) | −4.23089 | + | 5.65528i | −0.188086 | + | 0.251408i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 15.5523 | − | 4.57655i | 0.690023 | − | 0.203052i | ||||
\(509\) | 9.32093 | − | 1.64353i | 0.413143 | − | 0.0728482i | 0.0367864 | − | 0.999323i | \(-0.488288\pi\) |
0.376357 | + | 0.926475i | \(0.377177\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.10167 | − | 4.88818i | 0.181447 | − | 0.216240i | ||||
\(512\) | 10.8969 | + | 19.8307i | 0.481580 | + | 0.876402i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.84379 | + | 17.5068i | −0.390083 | + | 0.772190i | ||||
\(515\) | 8.54200 | + | 7.16759i | 0.376406 | + | 0.315842i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.687203 | + | 3.89732i | 0.0302231 | + | 0.171404i | ||||
\(518\) | 10.8572 | − | 10.1951i | 0.477038 | − | 0.447949i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.192522 | − | 27.3172i | 0.00844265 | − | 1.19794i | ||||
\(521\) | −15.6963 | − | 9.06226i | −0.687667 | − | 0.397025i | 0.115070 | − | 0.993357i | \(-0.463291\pi\) |
−0.802737 | + | 0.596333i | \(0.796624\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −31.7246 | + | 18.3162i | −1.38722 | + | 0.800912i | −0.993001 | − | 0.118105i | \(-0.962318\pi\) |
−0.394219 | + | 0.919017i | \(0.628985\pi\) | |||||||
\(524\) | −15.4468 | − | 10.2638i | −0.674794 | − | 0.448375i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.37126 | − | 0.790643i | 0.146994 | − | 0.0344737i | ||||
\(527\) | −12.8551 | + | 10.7867i | −0.559976 | + | 0.469876i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −53.0129 | + | 19.2951i | −2.30491 | + | 0.838918i | ||||
\(530\) | −1.99635 | − | 35.7215i | −0.0867161 | − | 1.55164i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.51872 | − | 0.394530i | 0.152556 | − | 0.0171051i | ||||
\(533\) | 2.21391 | + | 0.390372i | 0.0958951 | + | 0.0169089i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −15.1206 | + | 41.5434i | −0.653719 | + | 1.79608i | ||||
\(536\) | 10.4302 | + | 29.2975i | 0.450515 | + | 1.26546i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.35683 | + | 2.29580i | −0.230949 | + | 0.0989790i | ||||
\(539\) | −2.38481 | −0.102721 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 31.5175 | 1.35504 | 0.677521 | − | 0.735504i | \(-0.263054\pi\) | ||||
0.677521 | + | 0.735504i | \(0.263054\pi\) | |||||||
\(542\) | 15.5800 | − | 6.67719i | 0.669219 | − | 0.286810i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 16.4719 | − | 24.4147i | 0.706225 | − | 1.04677i | ||||
\(545\) | 11.7814 | − | 32.3691i | 0.504659 | − | 1.38654i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −31.0212 | − | 5.46987i | −1.32637 | − | 0.233875i | −0.534813 | − | 0.844970i | \(-0.679618\pi\) |
−0.791557 | + | 0.611095i | \(0.790729\pi\) | |||||||
\(548\) | 0.769746 | + | 6.86518i | 0.0328819 | + | 0.293266i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.390085 | + | 6.97995i | 0.0166333 | + | 0.297626i | ||||
\(551\) | −1.09763 | + | 0.399506i | −0.0467608 | + | 0.0170195i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.4182 | − | 10.4201i | 0.528074 | − | 0.443107i | ||||
\(554\) | 41.3523 | − | 9.69813i | 1.75689 | − | 0.412034i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.94413 | − | 8.94578i | 0.252087 | − | 0.379386i | ||||
\(557\) | 13.9805 | − | 8.07165i | 0.592373 | − | 0.342007i | −0.173662 | − | 0.984805i | \(-0.555560\pi\) |
0.766035 | + | 0.642799i | \(0.222227\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.54452 | + | 2.62378i | 0.192213 | + | 0.110974i | ||||
\(560\) | −21.9102 | − | 11.2628i | −0.925875 | − | 0.475938i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.14399 | + | 6.70835i | −0.301351 | + | 0.282975i | ||||
\(563\) | −5.14604 | − | 29.1846i | −0.216880 | − | 1.22999i | −0.877615 | − | 0.479366i | \(-0.840867\pi\) |
0.660735 | − | 0.750619i | \(-0.270245\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.0534 | − | 13.4704i | −0.675374 | − | 0.566706i | ||||
\(566\) | −12.0321 | + | 23.8182i | −0.505748 | + | 1.00116i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.75515 | + | 22.2107i | 0.157563 | + | 0.931941i | ||||
\(569\) | −23.6512 | + | 28.1864i | −0.991509 | + | 1.18163i | −0.00814907 | + | 0.999967i | \(0.502594\pi\) |
−0.983360 | + | 0.181668i | \(0.941850\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.987914 | − | 0.174196i | 0.0413429 | − | 0.00728987i | −0.152938 | − | 0.988236i | \(-0.548874\pi\) |
0.194281 | + | 0.980946i | \(0.437763\pi\) | |||||||
\(572\) | 0.822023 | + | 2.79345i | 0.0343705 | + | 0.116800i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.21445 | − | 1.62331i | 0.0506900 | − | 0.0677556i | ||||
\(575\) | −39.3033 | + | 68.0753i | −1.63906 | + | 2.83893i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.1847 | + | 17.6404i | 0.423994 | + | 0.734379i | 0.996326 | − | 0.0856433i | \(-0.0272945\pi\) |
−0.572332 | + | 0.820022i | \(0.693961\pi\) | |||||||
\(578\) | −14.1919 | − | 1.69260i | −0.590304 | − | 0.0704027i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.89913 | + | 1.91137i | 0.327994 | + | 0.0793653i | ||||
\(581\) | −1.79041 | − | 2.13373i | −0.0742787 | − | 0.0885219i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.30432 | + | 3.58360i | 0.0540196 | + | 0.148418i | ||||
\(584\) | 8.39474 | − | 6.94380i | 0.347377 | − | 0.287336i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.3634 | + | 25.0071i | 0.675965 | + | 1.03303i | ||||
\(587\) | −4.50124 | + | 25.5278i | −0.185786 | + | 1.05364i | 0.739155 | + | 0.673535i | \(0.235225\pi\) |
−0.924941 | + | 0.380110i | \(0.875886\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.23672 | − | 1.17807i | −0.133367 | − | 0.0485415i | ||||
\(590\) | −45.9024 | − | 13.8598i | −1.88977 | − | 0.570601i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 21.3751 | − | 13.7726i | 0.878509 | − | 0.566051i | ||||
\(593\) | 41.3947i | 1.69988i | 0.526881 | + | 0.849939i | \(0.323361\pi\) | ||||
−0.526881 | + | 0.849939i | \(0.676639\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 32.0653i | 1.31455i | ||||||||
\(596\) | −22.8699 | − | 1.43986i | −0.936786 | − | 0.0589791i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.46413 | + | 31.3442i | −0.387017 | + | 1.28176i | ||||
\(599\) | 20.6951 | + | 7.53238i | 0.845577 | + | 0.307765i | 0.728236 | − | 0.685327i | \(-0.240341\pi\) |
0.117341 | + | 0.993092i | \(0.462563\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.14732 | − | 6.50676i | 0.0468001 | − | 0.265416i | −0.952425 | − | 0.304773i | \(-0.901420\pi\) |
0.999225 | + | 0.0393561i | \(0.0125307\pi\) | |||||||
\(602\) | 3.95986 | − | 2.59113i | 0.161392 | − | 0.105607i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −41.8240 | − | 18.2747i | −1.70180 | − | 0.743585i | ||||
\(605\) | 13.5872 | + | 37.3306i | 0.552399 | + | 1.51770i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.01395 | − | 4.78364i | −0.162921 | − | 0.194162i | 0.678407 | − | 0.734686i | \(-0.262670\pi\) |
−0.841329 | + | 0.540524i | \(0.818226\pi\) | |||||||
\(608\) | 6.03039 | + | 0.422355i | 0.244565 | + | 0.0171287i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.98365 | + | 25.0169i | −0.120804 | + | 1.01291i | ||||
\(611\) | 9.17304 | + | 15.8882i | 0.371101 | + | 0.642767i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.30807 | + | 2.26564i | −0.0528323 | + | 0.0915083i | −0.891232 | − | 0.453548i | \(-0.850158\pi\) |
0.838400 | + | 0.545056i | \(0.183492\pi\) | |||||||
\(614\) | −22.7565 | − | 17.0248i | −0.918376 | − | 0.687064i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.58278 | + | 0.474206i | 0.104063 | + | 0.0191063i | ||||
\(617\) | −13.1781 | + | 2.32365i | −0.530528 | + | 0.0935465i | −0.432494 | − | 0.901637i | \(-0.642366\pi\) |
−0.0980339 | + | 0.995183i | \(0.531255\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.2591 | − | 20.5686i | 0.693703 | − | 0.826723i | −0.298095 | − | 0.954536i | \(-0.596351\pi\) |
0.991798 | + | 0.127813i | \(0.0407957\pi\) | |||||||
\(620\) | 14.2206 | + | 19.2901i | 0.571113 | + | 0.774710i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.8950 | − | 16.6174i | −1.31897 | − | 0.666295i | ||||
\(623\) | 16.0064 | + | 13.4310i | 0.641284 | + | 0.538101i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.51113 | + | 8.57003i | 0.0604451 | + | 0.342801i | ||||
\(626\) | −23.5103 | − | 25.0370i | −0.939659 | − | 1.00068i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 14.8644 | − | 7.37792i | 0.593153 | − | 0.294411i | ||||
\(629\) | −28.6626 | − | 16.5484i | −1.14285 | − | 0.659827i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.9119 | − | 14.3829i | 0.991726 | − | 0.572573i | 0.0859365 | − | 0.996301i | \(-0.472612\pi\) |
0.905790 | + | 0.423727i | \(0.139278\pi\) | |||||||
\(632\) | 24.0656 | − | 13.6691i | 0.957279 | − | 0.543726i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.99356 | + | 8.50041i | 0.0791742 | + | 0.337594i | ||||
\(635\) | −23.0844 | + | 19.3701i | −0.916078 | + | 0.768681i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.3889 | + | 3.78125i | −0.411623 | + | 0.149818i | ||||
\(638\) | −0.864937 | + | 0.0483383i | −0.0342432 | + | 0.00191373i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −33.3199 | − | 25.6680i | −1.31708 | − | 1.01462i | ||||
\(641\) | −1.94287 | − | 0.342580i | −0.0767386 | − | 0.0135311i | 0.135147 | − | 0.990826i | \(-0.456849\pi\) |
−0.211886 | + | 0.977294i | \(0.567960\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.0375 | − | 35.8203i | 0.514150 | − | 1.41262i | −0.362724 | − | 0.931897i | \(-0.618153\pi\) |
0.876874 | − | 0.480720i | \(-0.159625\pi\) | |||||||
\(644\) | 21.3816 | + | 20.3632i | 0.842552 | + | 0.802422i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.09951 | − | 7.23214i | −0.121949 | − | 0.284545i | ||||
\(647\) | 7.03763 | 0.276678 | 0.138339 | − | 0.990385i | \(-0.455824\pi\) | ||||
0.138339 | + | 0.990385i | \(0.455824\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.11102 | 0.200625 | ||||||||
\(650\) | 12.7664 | + | 29.7880i | 0.500739 | + | 1.16838i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 12.7674 | + | 12.1593i | 0.500008 | + | 0.476194i | ||||
\(653\) | 3.81006 | − | 10.4681i | 0.149099 | − | 0.409647i | −0.842549 | − | 0.538620i | \(-0.818946\pi\) |
0.991648 | + | 0.128973i | \(0.0411681\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 33.9495 | + | 5.98622i | 1.32652 | + | 0.233901i | ||||
\(656\) | 2.53982 | − | 2.35149i | 0.0991635 | − | 0.0918101i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 16.5188 | − | 0.923180i | 0.643971 | − | 0.0359893i | ||||
\(659\) | −35.1305 | + | 12.7864i | −1.36849 | + | 0.498089i | −0.918668 | − | 0.395030i | \(-0.870734\pi\) |
−0.449821 | + | 0.893119i | \(0.648512\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.29644 | − | 3.60514i | 0.167112 | − | 0.140224i | −0.555396 | − | 0.831586i | \(-0.687433\pi\) |
0.722509 | + | 0.691362i | \(0.242989\pi\) | |||||||
\(662\) | −4.63489 | − | 19.7629i | −0.180140 | − | 0.768107i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.34866 | − | 4.13503i | −0.0911457 | − | 0.160470i | ||||
\(665\) | −5.69986 | + | 3.29082i | −0.221031 | + | 0.127612i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.43570 | − | 4.87036i | −0.326632 | − | 0.188581i | ||||
\(668\) | 40.3983 | − | 20.0517i | 1.56306 | − | 0.775823i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −39.5705 | − | 42.1402i | −1.52874 | − | 1.62802i | ||||
\(671\) | −0.466334 | − | 2.64471i | −0.0180026 | − | 0.102098i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29.0189 | + | 24.3497i | 1.11860 | + | 0.938613i | 0.998533 | − | 0.0541531i | \(-0.0172459\pi\) |
0.120063 | + | 0.992766i | \(0.461690\pi\) | |||||||
\(674\) | 24.2955 | + | 12.2732i | 0.935826 | + | 0.472746i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.41786 | − | 10.0623i | −0.285302 | − | 0.387010i | ||||
\(677\) | 24.2754 | − | 28.9303i | 0.932980 | − | 1.11188i | −0.0605328 | − | 0.998166i | \(-0.519280\pi\) |
0.993513 | − | 0.113717i | \(-0.0362756\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.50949 | − | 1.14780i | 0.249811 | − | 0.0440485i | ||||
\(680\) | −9.88613 | + | 53.8452i | −0.379116 | + | 2.06487i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.04545 | − | 1.53026i | −0.0783243 | − | 0.0585967i | ||||
\(683\) | 13.9252 | − | 24.1192i | 0.532834 | − | 0.922895i | −0.466431 | − | 0.884558i | \(-0.654460\pi\) |
0.999265 | − | 0.0383376i | \(-0.0122062\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.42053 | − | 11.1207i | −0.245316 | − | 0.424900i | ||||
\(686\) | −3.12291 | + | 26.1846i | −0.119233 | + | 0.999733i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.44841 | − | 3.13025i | 0.283968 | − | 0.119340i | ||||
\(689\) | 11.3640 | + | 13.5431i | 0.432933 | + | 0.515949i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.46193 | + | 4.01662i | 0.0556145 | + | 0.152800i | 0.964389 | − | 0.264488i | \(-0.0852030\pi\) |
−0.908774 | + | 0.417288i | \(0.862981\pi\) | |||||||
\(692\) | −18.7996 | − | 8.21435i | −0.714655 | − | 0.312263i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 37.5979 | − | 24.6022i | 1.42720 | − | 0.933887i | ||||
\(695\) | −3.46684 | + | 19.6614i | −0.131505 | + | 0.745800i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.23343 | − | 1.54084i | −0.160353 | − | 0.0583636i | ||||
\(698\) | 7.07956 | − | 23.4468i | 0.267965 | − | 0.887473i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 29.1684 | + | 1.83641i | 1.10246 | + | 0.0694098i | ||||
\(701\) | 20.9584i | 0.791586i | 0.918340 | + | 0.395793i | \(0.129530\pi\) | ||||
−0.918340 | + | 0.395793i | \(0.870470\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 6.79334i | − | 0.256216i | ||||||
\(704\) | 4.19089 | + | 1.59261i | 0.157950 | + | 0.0600236i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.42985 | − | 1.63950i | −0.204355 | − | 0.0617033i | ||||
\(707\) | −11.9868 | − | 4.36282i | −0.450808 | − | 0.164081i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.39089 | + | 7.88813i | −0.0522360 | + | 0.296245i | −0.999723 | − | 0.0235502i | \(-0.992503\pi\) |
0.947487 | + | 0.319795i | \(0.103614\pi\) | |||||||
\(710\) | −22.9265 | − | 35.0371i | −0.860418 | − | 1.31492i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 22.7376 | + | 27.4887i | 0.852128 | + | 1.03018i | ||||
\(713\) | −9.82403 | − | 26.9913i | −0.367913 | − | 1.01083i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.47919 | − | 4.14634i | −0.130114 | − | 0.155064i | ||||
\(716\) | −28.1883 | − | 6.82078i | −1.05345 | − | 0.254904i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 16.9934 | + | 2.02672i | 0.634188 | + | 0.0756365i | ||||
\(719\) | 4.27525 | + | 7.40496i | 0.159440 | + | 0.276158i | 0.934667 | − | 0.355525i | \(-0.115698\pi\) |
−0.775227 | + | 0.631683i | \(0.782364\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.48453 | + | 4.30333i | −0.0925287 | + | 0.160264i | ||||
\(722\) | −15.1288 | + | 20.2222i | −0.563036 | + | 0.752591i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.98539 | − | 10.1451i | −0.110951 | − | 0.377041i | ||||
\(725\) | −9.49505 | + | 1.67423i | −0.352637 | + | 0.0621795i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.9742 | + | 20.2291i | −0.629538 | + | 0.750255i | −0.982679 | − | 0.185316i | \(-0.940669\pi\) |
0.353141 | + | 0.935570i | \(0.385114\pi\) | |||||||
\(728\) | 12.0032 | − | 2.02937i | 0.444867 | − | 0.0752134i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −9.13098 | + | 18.0753i | −0.337953 | + | 0.668996i | ||||
\(731\) | −8.05582 | − | 6.75964i | −0.297955 | − | 0.250014i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.75770 | + | 38.3248i | 0.249601 | + | 1.41556i | 0.809559 | + | 0.587039i | \(0.199706\pi\) |
−0.559957 | + | 0.828521i | \(0.689182\pi\) | |||||||
\(734\) | −3.54527 | + | 3.32908i | −0.130858 | + | 0.122879i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 29.6264 | + | 40.7868i | 1.09204 | + | 1.50342i | ||||
\(737\) | 5.33625 | + | 3.08088i | 0.196563 | + | 0.113486i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.6334 | + | 6.13920i | −0.391156 | + | 0.225834i | −0.682661 | − | 0.730735i | \(-0.739177\pi\) |
0.291505 | + | 0.956569i | \(0.405844\pi\) | |||||||
\(740\) | −26.1582 | + | 39.3675i | −0.961595 | + | 1.44718i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 15.5221 | − | 3.64030i | 0.569832 | − | 0.133640i | ||||
\(743\) | −14.9811 | + | 12.5706i | −0.549603 | + | 0.461172i | −0.874807 | − | 0.484472i | \(-0.839012\pi\) |
0.325204 | + | 0.945644i | \(0.394567\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 40.0262 | − | 14.5683i | 1.46645 | − | 0.533743i | ||||
\(746\) | 0.452627 | + | 8.09904i | 0.0165719 | + | 0.296527i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.650213 | − | 5.79909i | −0.0237741 | − | 0.212036i | ||||
\(749\) | −19.4015 | − | 3.42101i | −0.708917 | − | 0.125001i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.401897 | + | 1.10420i | −0.0146654 | + | 0.0402929i | −0.946809 | − | 0.321795i | \(-0.895714\pi\) |
0.932144 | + | 0.362088i | \(0.117936\pi\) | |||||||
\(752\) | 28.0236 | + | 3.54272i | 1.02192 | + | 0.129190i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.69125 | + | 1.58198i | −0.134428 | + | 0.0576122i | ||||
\(755\) | 84.8405 | 3.08766 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.1258 | −0.549756 | −0.274878 | − | 0.961479i | \(-0.588638\pi\) | ||||
−0.274878 | + | 0.961479i | \(0.588638\pi\) | |||||||
\(758\) | 32.8137 | − | 14.0631i | 1.19185 | − | 0.510795i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.5860 | + | 3.76872i | −0.383995 | + | 0.136706i | ||||
\(761\) | −4.81963 | + | 13.2418i | −0.174711 | + | 0.480016i | −0.995881 | − | 0.0906683i | \(-0.971100\pi\) |
0.821170 | + | 0.570684i | \(0.193322\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 15.1170 | + | 2.66553i | 0.547271 | + | 0.0964986i | ||||
\(764\) | −23.3210 | + | 2.61483i | −0.843726 | + | 0.0946013i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.767634 | − | 13.7356i | −0.0277357 | − | 0.496286i | ||||
\(767\) | 22.2650 | − | 8.10379i | 0.803941 | − | 0.292611i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.1139 | + | 16.0385i | −0.689265 | + | 0.578362i | −0.918697 | − | 0.394962i | \(-0.870758\pi\) |
0.229432 | + | 0.973325i | \(0.426313\pi\) | |||||||
\(770\) | −4.75222 | + | 1.11451i | −0.171258 | + | 0.0401643i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 38.5676 | + | 25.6267i | 1.38808 | + | 0.922326i | ||||
\(773\) | 12.7170 | − | 7.34218i | 0.457400 | − | 0.264080i | −0.253550 | − | 0.967322i | \(-0.581598\pi\) |
0.710950 | + | 0.703242i | \(0.248265\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −24.6220 | − | 14.2155i | −0.884449 | − | 0.510637i | ||||
\(776\) | 11.2848 | + | 0.0795314i | 0.405102 | + | 0.00285501i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.20500 | − | 8.64369i | 0.330015 | − | 0.309891i | ||||
\(779\) | −0.160574 | − | 0.910661i | −0.00575316 | − | 0.0326278i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.41900 | + | 2.86888i | 0.122342 | + | 0.102657i | ||||
\(782\) | 29.5855 | − | 58.5662i | 1.05798 | − | 2.09432i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.03493 | + | 16.2602i | −0.179819 | + | 0.580720i | ||||
\(785\) | −19.8277 | + | 23.6297i | −0.707681 | + | 0.843381i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.40180 | + | 1.12881i | −0.228199 | + | 0.0402377i | −0.286578 | − | 0.958057i | \(-0.592518\pi\) |
0.0583791 | + | 0.998294i | \(0.481407\pi\) | |||||||
\(788\) | −0.856257 | + | 0.251969i | −0.0305029 | + | 0.00897603i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −30.8182 | + | 41.1936i | −1.09646 | + | 1.46560i | ||||
\(791\) | 4.66931 | − | 8.08748i | 0.166021 | − | 0.287558i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.22481 | − | 10.7817i | −0.221049 | − | 0.382869i | ||||
\(794\) | 2.90588 | + | 0.346570i | 0.103126 | + | 0.0122993i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.36723 | − | 22.1812i | 0.190236 | − | 0.786191i | ||||
\(797\) | 16.1321 | + | 19.2255i | 0.571427 | + | 0.681001i | 0.971923 | − | 0.235298i | \(-0.0756066\pi\) |
−0.400496 | + | 0.916299i | \(0.631162\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.5746 | − | 34.5484i | −0.444857 | − | 1.22223i | ||||
\(800\) | 48.4143 | + | 12.0767i | 1.71171 | + | 0.426977i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 23.6078 | + | 36.0782i | 0.833619 | + | 1.27396i | ||||
\(803\) | 0.374832 | − | 2.12578i | 0.0132275 | − | 0.0750170i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −51.5749 | − | 18.7717i | −1.81778 | − | 0.661616i | ||||
\(806\) | −11.3368 | − | 3.42306i | −0.399323 | − | 0.120572i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −18.7834 | − | 11.0219i | −0.660799 | − | 0.387748i | ||||
\(809\) | − | 18.1165i | − | 0.636944i | −0.947932 | − | 0.318472i | \(-0.896830\pi\) | ||
0.947932 | − | 0.318472i | \(-0.103170\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.98634i | 0.245324i | 0.992449 | + | 0.122662i | \(0.0391430\pi\) | ||||
−0.992449 | + | 0.122662i | \(0.960857\pi\) | |||||||
\(812\) | −0.227563 | + | 3.61447i | −0.00798590 | + | 0.126843i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.45630 | − | 4.82311i | 0.0510433 | − | 0.169050i | ||||
\(815\) | −30.7964 | − | 11.2090i | −1.07875 | − | 0.392633i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.374821 | − | 2.12572i | 0.0131133 | − | 0.0743694i | ||||
\(818\) | −42.0667 | + | 27.5264i | −1.47083 | + | 0.962437i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.57603 | + | 5.89559i | −0.0899589 | + | 0.205883i | ||||
\(821\) | −12.3202 | − | 33.8494i | −0.429977 | − | 1.18135i | −0.945826 | − | 0.324673i | \(-0.894746\pi\) |
0.515849 | − | 0.856679i | \(-0.327477\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.6929 | + | 17.5103i | 0.512161 | + | 0.610369i | 0.958709 | − | 0.284390i | \(-0.0917912\pi\) |
−0.446548 | + | 0.894760i | \(0.647347\pi\) | |||||||
\(824\) | −5.49887 | + | 6.46029i | −0.191562 | + | 0.225055i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.53044 | − | 21.2169i | 0.0880452 | − | 0.738231i | ||||
\(827\) | −17.2618 | − | 29.8984i | −0.600253 | − | 1.03967i | −0.992782 | − | 0.119929i | \(-0.961733\pi\) |
0.392530 | − | 0.919739i | \(-0.371600\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.3276 | − | 19.6199i | 0.393423 | − | 0.681429i | −0.599475 | − | 0.800393i | \(-0.704624\pi\) |
0.992899 | + | 0.118964i | \(0.0379574\pi\) | |||||||
\(830\) | 7.07801 | + | 5.29527i | 0.245681 | + | 0.183802i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 20.7818 | + | 0.292940i | 0.720480 | + | 0.0101559i | ||||
\(833\) | 21.8189 | − | 3.84726i | 0.755981 | − | 0.133300i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −53.8877 | + | 64.2208i | −1.86486 | + | 2.22245i | ||||
\(836\) | 0.964103 | − | 0.710733i | 0.0333442 | − | 0.0245812i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.5525 | + | 7.85655i | 0.537251 | + | 0.271400i | ||||
\(839\) | 8.27145 | + | 6.94057i | 0.285562 | + | 0.239615i | 0.774305 | − | 0.632813i | \(-0.218100\pi\) |
−0.488743 | + | 0.872428i | \(0.662544\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.82833 | + | 27.3828i | 0.166494 | + | 0.944235i | ||||
\(842\) | −16.8458 | − | 17.9397i | −0.580543 | − | 0.618243i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.16577 | + | 10.4075i | 0.177813 | + | 0.358242i | ||||
\(845\) | 20.1238 | + | 11.6185i | 0.692280 | + | 0.399688i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −15.3313 | + | 8.85151i | −0.526788 | + | 0.304141i | ||||
\(848\) | 27.1875 | − | 1.32728i | 0.933623 | − | 0.0455792i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −14.8292 | − | 63.2310i | −0.508639 | − | 2.16881i | ||||
\(851\) | 43.3966 | − | 36.4141i | 1.48762 | − | 1.24826i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.8556 | − | 6.13495i | 0.577126 | − | 0.210057i | −0.0369315 | − | 0.999318i | \(-0.511758\pi\) |
0.614058 | + | 0.789261i | \(0.289536\pi\) | |||||||
\(854\) | −11.2096 | + | 0.626468i | −0.383586 | + | 0.0214373i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −31.5250 | − | 11.7264i | −1.07750 | − | 0.400800i | ||||
\(857\) | −5.62708 | − | 0.992207i | −0.192218 | − | 0.0338931i | 0.0767105 | − | 0.997053i | \(-0.475558\pi\) |
−0.268928 | + | 0.963160i | \(0.586669\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.53894 | − | 17.9656i | 0.223106 | − | 0.612978i | −0.776753 | − | 0.629806i | \(-0.783134\pi\) |
0.999858 | + | 0.0168277i | \(0.00535669\pi\) | |||||||
\(860\) | −10.3573 | + | 10.8753i | −0.353181 | + | 0.370844i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.6140 | + | 24.7658i | 0.361513 | + | 0.843525i | ||||
\(863\) | −42.9009 | −1.46036 | −0.730181 | − | 0.683254i | \(-0.760564\pi\) | ||||
−0.730181 | + | 0.683254i | \(0.760564\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 38.1352 | 1.29664 | ||||||||
\(866\) | 20.8863 | + | 48.7343i | 0.709745 | + | 1.65606i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −7.36513 | + | 7.73346i | −0.249989 | + | 0.262491i | ||||
\(869\) | 1.87555 | − | 5.15303i | 0.0636236 | − | 0.174804i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.1310 | + | 4.96026i | 0.953183 | + | 0.168072i | ||||
\(872\) | 24.5631 | + | 9.13678i | 0.831811 | + | 0.309410i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.4469 | − | 0.751502i | 0.454849 | − | 0.0254199i | ||||
\(875\) | −22.1125 | + | 8.04830i | −0.747540 | + | 0.272082i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.7445 | + | 17.4067i | −0.700491 | + | 0.587781i | −0.921913 | − | 0.387397i | \(-0.873374\pi\) |
0.221423 | + | 0.975178i | \(0.428930\pi\) | |||||||
\(878\) | 7.25053 | + | 30.9159i | 0.244694 | + | 1.04336i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.32371 | + | 0.406361i | −0.280592 | + | 0.0136984i | ||||
\(881\) | −6.75989 | + | 3.90282i | −0.227746 | + | 0.131489i | −0.609532 | − | 0.792761i | \(-0.708643\pi\) |
0.381786 | + | 0.924251i | \(0.375309\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 43.9985 | + | 25.4025i | 1.48067 | + | 0.854864i | 0.999760 | − | 0.0219080i | \(-0.00697411\pi\) |
0.480907 | + | 0.876772i | \(0.340307\pi\) | |||||||
\(884\) | −12.0273 | − | 24.2314i | −0.404521 | − | 0.814992i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 9.96040 | + | 10.6072i | 0.334626 | + | 0.356356i | ||||
\(887\) | −0.849885 | − | 4.81994i | −0.0285363 | − | 0.161838i | 0.967210 | − | 0.253980i | \(-0.0817397\pi\) |
−0.995746 | + | 0.0921422i | \(0.970629\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −10.2870 | − | 8.63179i | −0.345014 | − | 0.289501i | ||||
\(890\) | −59.1878 | − | 29.8996i | −1.98398 | − | 1.00224i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −5.98988 | + | 4.41571i | −0.200556 | + | 0.147849i | ||||
\(893\) | 4.85073 | − | 5.78088i | 0.162324 | − | 0.193450i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 53.0899 | − | 9.36118i | 1.77460 | − | 0.312910i | ||||
\(896\) | 8.68613 | − | 16.6088i | 0.290183 | − | 0.554861i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −10.1714 | − | 7.60955i | −0.339425 | − | 0.253934i | ||||
\(899\) | 1.76155 | − | 3.05109i | 0.0587510 | − | 0.101760i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −17.7146 | − | 30.6826i | −0.590159 | − | 1.02218i | ||||
\(902\) | 0.0812160 | − | 0.680970i | 0.00270420 | − | 0.0226738i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.3343 | − | 12.1412i | 0.343715 | − | 0.403809i | ||||
\(905\) | 12.6356 | + | 15.0585i | 0.420021 | + | 0.500561i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.73803 | − | 24.0076i | −0.290142 | − | 0.797158i | −0.996045 | − | 0.0888495i | \(-0.971681\pi\) |
0.705903 | − | 0.708308i | \(-0.250541\pi\) | |||||||
\(908\) | 5.29777 | − | 12.1247i | 0.175813 | − | 0.402371i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −18.9348 | + | 12.3900i | −0.627684 | + | 0.410725i | ||||
\(911\) | 7.53014 | − | 42.7055i | 0.249485 | − | 1.41490i | −0.560358 | − | 0.828250i | \(-0.689337\pi\) |
0.809843 | − | 0.586647i | \(-0.199552\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.885409 | − | 0.322262i | −0.0293028 | − | 0.0106653i | ||||
\(914\) | −1.95028 | + | 6.45911i | −0.0645094 | + | 0.213648i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.145260 | + | 2.30722i | −0.00479953 | + | 0.0762327i | ||||
\(917\) | 15.3621i | 0.507301i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 31.6571i | − | 1.04427i | −0.852862 | − | 0.522136i | \(-0.825135\pi\) | ||
0.852862 | − | 0.522136i | \(-0.174865\pi\) | |||||||
\(920\) | −80.8187 | − | 47.4233i | −2.66451 | − | 1.56350i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −38.6959 | − | 11.6839i | −1.27438 | − | 0.384789i | ||||
\(923\) | 19.4429 | + | 7.07662i | 0.639969 | + | 0.232930i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.73706 | − | 55.2216i | 0.320152 | − | 1.81567i | ||||
\(926\) | 32.8487 | + | 50.2005i | 1.07948 | + | 1.64969i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.49652 | + | 5.99938i | −0.0491255 | + | 0.196939i | ||||
\(929\) | −16.4439 | − | 45.1792i | −0.539507 | − | 1.48228i | −0.847449 | − | 0.530877i | \(-0.821863\pi\) |
0.307942 | − | 0.951405i | \(-0.400360\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.92313 | + | 3.48365i | 0.0958016 | + | 0.114172i | ||||
\(932\) | −8.00835 | + | 33.0961i | −0.262322 | + | 1.08410i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −9.06498 | − | 1.08114i | −0.296615 | − | 0.0353759i | ||||
\(935\) | 5.42349 | + | 9.39376i | 0.177367 | + | 0.307209i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28.1506 | − | 48.7583i | 0.919641 | − | 1.59287i | 0.119681 | − | 0.992812i | \(-0.461813\pi\) |
0.799961 | − | 0.600053i | \(-0.204854\pi\) | |||||||
\(938\) | 15.4313 | − | 20.6266i | 0.503851 | − | 0.673481i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −50.3697 | + | 14.8222i | −1.64288 | + | 0.483447i | ||||
\(941\) | 54.1362 | − | 9.54567i | 1.76479 | − | 0.311180i | 0.805288 | − | 0.592884i | \(-0.202011\pi\) |
0.959501 | + | 0.281704i | \(0.0908997\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.95668 | − | 5.90715i | 0.161412 | − | 0.192363i | ||||
\(944\) | 10.7906 | − | 34.8480i | 0.351205 | − | 1.13421i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.721807 | − | 1.42886i | 0.0234680 | − | 0.0464561i | ||||
\(947\) | −36.2498 | − | 30.4172i | −1.17796 | − | 0.988427i | −0.999990 | − | 0.00439122i | \(-0.998602\pi\) |
−0.177971 | − | 0.984036i | \(-0.556953\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.73766 | − | 9.85477i | −0.0564069 | − | 0.319899i | ||||
\(950\) | 9.71791 | − | 9.12532i | 0.315291 | − | 0.296065i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −24.3952 | − | 0.171928i | −0.790652 | − | 0.00557223i | ||||
\(953\) | 29.6972 | + | 17.1457i | 0.961985 | + | 0.555402i | 0.896783 | − | 0.442470i | \(-0.145898\pi\) |
0.0652018 | + | 0.997872i | \(0.479231\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 37.7770 | − | 21.8106i | 1.22244 | − | 0.705774i | ||||
\(956\) | 2.00971 | + | 1.33537i | 0.0649986 | + | 0.0431891i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −49.1657 | + | 11.5306i | −1.58847 | + | 0.372536i | ||||
\(959\) | 4.38352 | − | 3.67821i | 0.141551 | − | 0.118776i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.3680 | + | 7.04939i | −0.624775 | + | 0.227400i | ||||
\(962\) | −1.30326 | − | 23.3198i | −0.0420189 | − | 0.751861i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 19.8641 | − | 2.22723i | 0.639779 | − | 0.0717342i | ||||
\(965\) | −84.7656 | − | 14.9465i | −2.72870 | − | 0.481143i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.31365 | + | 22.8416i | −0.267349 | + | 0.734535i | 0.731275 | + | 0.682083i | \(0.238926\pi\) |
−0.998623 | + | 0.0524519i | \(0.983296\pi\) | |||||||
\(968\) | −28.4738 | + | 10.1369i | −0.915182 | + | 0.325813i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −19.2808 | + | 8.26327i | −0.619070 | + | 0.265318i | ||||
\(971\) | 39.8444 | 1.27867 | 0.639334 | − | 0.768929i | \(-0.279210\pi\) | ||||
0.639334 | + | 0.768929i | \(0.279210\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.89676 | −0.285217 | ||||||||
\(974\) | −52.8526 | + | 22.6513i | −1.69351 | + | 0.725793i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −19.0168 | − | 2.40408i | −0.608711 | − | 0.0769527i | ||||
\(977\) | −15.9360 | + | 43.7837i | −0.509836 | + | 1.40076i | 0.371570 | + | 0.928405i | \(0.378820\pi\) |
−0.881406 | + | 0.472359i | \(0.843403\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.96090 | + | 1.22739i | 0.222471 | + | 0.0392277i | ||||
\(980\) | −3.52554 | − | 31.4435i | −0.112619 | − | 1.00442i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −2.21911 | − | 39.7074i | −0.0708146 | − | 1.26711i | ||||
\(983\) | 9.94420 | − | 3.61939i | 0.317171 | − | 0.115441i | −0.178529 | − | 0.983935i | \(-0.557134\pi\) |
0.495700 | + | 0.868494i | \(0.334912\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.27095 | − | 1.06645i | 0.0404958 | − | 0.0339800i | ||||
\(986\) | 7.83542 | − | 1.83760i | 0.249531 | − | 0.0585211i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.07299 | − | 4.62478i | 0.0977648 | − | 0.147134i | ||||
\(989\) | 15.5885 | − | 9.00000i | 0.495684 | − | 0.286183i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.1628 | + | 11.6410i | 0.640492 | + | 0.369788i | 0.784804 | − | 0.619744i | \(-0.212764\pi\) |
−0.144312 | + | 0.989532i | \(0.546097\pi\) | |||||||
\(992\) | −14.7521 | + | 10.7155i | −0.468379 | + | 0.340219i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 13.6021 | − | 12.7726i | 0.431431 | − | 0.405123i | ||||
\(995\) | 7.36626 | + | 41.7761i | 0.233526 | + | 1.32439i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −43.9556 | − | 36.8831i | −1.39209 | − | 1.16810i | −0.964486 | − | 0.264134i | \(-0.914914\pi\) |
−0.427602 | − | 0.903967i | \(-0.640642\pi\) | |||||||
\(998\) | −21.1182 | + | 41.8047i | −0.668486 | + | 1.32330i | ||||
\(999\) | 0 | 0 |
(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 | 324.2.l.a.35.6 | 96 | ||
3.2 | odd | 2 | 108.2.l.a.11.11 | yes | 96 | ||
4.3 | odd | 2 | inner | 324.2.l.a.35.16 | 96 | ||
9.2 | odd | 6 | 972.2.l.d.755.12 | 96 | |||
9.4 | even | 3 | 972.2.l.b.431.15 | 96 | |||
9.5 | odd | 6 | 972.2.l.c.431.2 | 96 | |||
9.7 | even | 3 | 972.2.l.a.755.5 | 96 | |||
12.11 | even | 2 | 108.2.l.a.11.1 | ✓ | 96 | ||
27.4 | even | 9 | 972.2.l.d.215.10 | 96 | |||
27.5 | odd | 18 | inner | 324.2.l.a.287.16 | 96 | ||
27.13 | even | 9 | 972.2.l.c.539.12 | 96 | |||
27.14 | odd | 18 | 972.2.l.b.539.5 | 96 | |||
27.22 | even | 9 | 108.2.l.a.59.1 | yes | 96 | ||
27.23 | odd | 18 | 972.2.l.a.215.7 | 96 | |||
36.7 | odd | 6 | 972.2.l.a.755.7 | 96 | |||
36.11 | even | 6 | 972.2.l.d.755.10 | 96 | |||
36.23 | even | 6 | 972.2.l.c.431.12 | 96 | |||
36.31 | odd | 6 | 972.2.l.b.431.5 | 96 | |||
108.23 | even | 18 | 972.2.l.a.215.5 | 96 | |||
108.31 | odd | 18 | 972.2.l.d.215.12 | 96 | |||
108.59 | even | 18 | inner | 324.2.l.a.287.6 | 96 | ||
108.67 | odd | 18 | 972.2.l.c.539.2 | 96 | |||
108.95 | even | 18 | 972.2.l.b.539.15 | 96 | |||
108.103 | odd | 18 | 108.2.l.a.59.11 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.11.1 | ✓ | 96 | 12.11 | even | 2 | ||
108.2.l.a.11.11 | yes | 96 | 3.2 | odd | 2 | ||
108.2.l.a.59.1 | yes | 96 | 27.22 | even | 9 | ||
108.2.l.a.59.11 | yes | 96 | 108.103 | odd | 18 | ||
324.2.l.a.35.6 | 96 | 1.1 | even | 1 | trivial | ||
324.2.l.a.35.16 | 96 | 4.3 | odd | 2 | inner | ||
324.2.l.a.287.6 | 96 | 108.59 | even | 18 | inner | ||
324.2.l.a.287.16 | 96 | 27.5 | odd | 18 | inner | ||
972.2.l.a.215.5 | 96 | 108.23 | even | 18 | |||
972.2.l.a.215.7 | 96 | 27.23 | odd | 18 | |||
972.2.l.a.755.5 | 96 | 9.7 | even | 3 | |||
972.2.l.a.755.7 | 96 | 36.7 | odd | 6 | |||
972.2.l.b.431.5 | 96 | 36.31 | odd | 6 | |||
972.2.l.b.431.15 | 96 | 9.4 | even | 3 | |||
972.2.l.b.539.5 | 96 | 27.14 | odd | 18 | |||
972.2.l.b.539.15 | 96 | 108.95 | even | 18 | |||
972.2.l.c.431.2 | 96 | 9.5 | odd | 6 | |||
972.2.l.c.431.12 | 96 | 36.23 | even | 6 | |||
972.2.l.c.539.2 | 96 | 108.67 | odd | 18 | |||
972.2.l.c.539.12 | 96 | 27.13 | even | 9 | |||
972.2.l.d.215.10 | 96 | 27.4 | even | 9 | |||
972.2.l.d.215.12 | 96 | 108.31 | odd | 18 | |||
972.2.l.d.755.10 | 96 | 36.11 | even | 6 | |||
972.2.l.d.755.12 | 96 | 9.2 | odd | 6 |